The figure shown contains 3 squares and 1 right triangle. What is the length of the hypotenuse of the triangle? Explain how you found your answer


the length of the hypotenuse is ???? cm

The Figure Shown Contains 3 Squares And 1 Right Triangle. What Is The Length Of The Hypotenuse Of The

Answers

Answer 1
Solution

In order to find the hypotenuse of the triangle

We need to find the other sides of a right triangle

Length of the 1st side of a right triangle is connected with a square with area 144[tex]cm^{2}[/tex]

Hence in order to find the side we

[tex]\sqrt{144} = side[/tex]

[tex]12 = side[/tex]

Length of the second side is connected to a small square with area 25[tex]cm^{2}[/tex]

[tex]\sqrt{25} = side[/tex]

[tex]5 = side[/tex]

Now we can find the hypotenuse of a right triangle with the phytogorean theorem

[tex]a^{2}+ b^{2} = c^{2}[/tex]

[tex]12^{2}+ 5^{2} = c^{2} \\169 = c^{2}[/tex]

[tex]\sqrt{169}= c[/tex]

[tex]13 = c[/tex]

Hence , the hypotenuse of a right triangle is 13cm


Related Questions

Marcos needs to buy a piece of fabric with a length of 1.3 meters. The fabric costs $0.45 per inch.
2.54cm $0.45
Marcos determines the calculation as 1.3m (100 cm -) ( :)
= 148.59
lin
lin.
What is the error in Marcos' reasoning, and how much will the fabric cost?
CA Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03.
B
Marcos made an incorrect conversion from centimeters to inches. The correct price is $14.86.
С
Marcos made an incorrect conversion from meters to centimeters. The correct price is $23.03.
D
Marcos made an incorrect conversion from meters to centimeters. The correct price is $14.86.

Answers

I will try my best friend

Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03. Option C is correct.

What is the error?

An error is a mistaken or erroneous action. In some contexts, an error is interchangeable with a mistake.

The discrepancy between the calculated value and the correct value is referred to as an “error” in statistics.

The length of fabric= 1.3 meters.

Cost of fabric=$0.45 per inch

1 meter =39.3701 inch

1.3 meter =1.3 × 39.3701 inch

1.3 meter = 51.18 inch

Cost of fabric per unit length(inch);=$0.45

The cost of the fabric is;

Cost of fabric=$0.45 ×51.18 inch

Cost of fabric=$23.03

Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03. The fabric cost will be, $23.03

Hence,option C is correct.

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On a coordinate plane, a line is drawn from point C to point D. Point C is at (negative 1, 4) and point D is at (2, 0).
Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D?

d = StartRoot (x 2 minus x 1) squared + (v 2 minus v 1) squared EndRoot
units

Answers

The length of the line is 5 units.

What is distance?

The distance between two points is the length of the line joining the two points.

Formula: distance= √(x_2-x_1)²+(y_2-y_1)²

Given that, endpoints are (-1,4) and (2,0) of the line segment.

The length= √(2+1)²+(0-4)²

                 =5units

Hence, The length of the line is 5 units.

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anyone help me with 4? it would mean a lot!

Answers

I’m not sure about my answer but I guess the answer for your question is:

what is the magnitude of the net electric field at point p due to the particles?

Answers

The magnitude of the net electric field at point P due to the particle is 0 . explanation is given as

let us assume that , The charges of the four particles and the distance are given then on understanding the  concept of electric field  at electrostatics concept. on using the concept of the electric field at any given point, then production of  individual electric field by a charge. and we known the concept of superposition law, on applying the law  we  get the value of the electric field in its direction and this shows the determination of   the net electric field at that point.

The magnitude of the electric field,  

E = q * R

where R = The distance of field at  point from the charge, and q = charge of the individual particle

According to the superposition principle, the electric field at a single point due to more than one charges present ,hence on calculation of net electric field  we get the origin of the coordinate system  which is placed at point P and the y-axis is situated and oriented in the direction of the charge,  (passing through the charge, ). The x-axis which  is perpendicular to the y axis, and thus passes through the identical charges, then the  individual magnitudes of an electric field is due to the charges are demonstrated by using the absolute signs of the charges. Now let us assume that the point charge which  being positive i.e  ( q > 0), we can see that the contributions coming from each charge gets cancel to each other. Therefore the net electric field in the direction of the y-axis is given using equation as  E= 0

hence the net electric field is zero .

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Cos (A) + Tan (A) Sin (A), Sec (A)=

Answers

Answer: you need more info

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

6 kids shared 4 1/2 candy bars, how much did each kids get

Answers

Answer: They each got 3/4 candy bars. (0.75 candy bars)

How many 1/3 cubes does it take to fill a box with a width of 2 2/3 inches length 3 1/3 inches and height 2 1/3

Answers

It takes 560 of 1/3 inch cubes to fill a box with width 2 2/3 inches, length 3 1/3 inches, and height 2 1/3 inches.

In Math's or in Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.

It is also said to be a regular hexahedron.

We will convert the dimensions of the given box into simple fractions for easy calculations.

The dimensions of the given box:

Length = 3 + 1/3 inches = 10/3 inches

Breadth = 2 + 2/3 inches = 8/3 inches

Height = 2 + 1/3 inches = 7/3 inches

The side of each cube = 1/3 inches

Therefore,

The no. of cubes required to fill the box is,

= (volume of the box) / (volume of each 1/3 inch cube)

= ( 10/3 * 8/3 * 7/3 ) / (1/3)^2

= 10 * 8 * 7

= 560

Thus, it takes 560 of 1/3 inch cubes to fill a box with width 2 2/3 inches, length 3 1/3 inches, and height 2 1/3 inches.

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Given the lengths of two sides of a triangle, determine the range, a, of possible side lengths of the third side.

5 km and 11 km

12 mi and 12 mi

25 yd and 10 yd

Answers

By using the triangular inequality, we will get the possible lengths:

a) 6km < x < 16km

b) 0mi < x < 24mi

c) 15yd < x < 30yd

How to estimate the lengths of the possible third side?

If A, C, and D are the lengths of the sides of a triangle, then the triangular inequality says that:

A + C > D

A + D > C

C + D > a

Now, if the two sides are 5km and 11 km, and the other side is x, then we can write:

x + 5km > 11km

x + 11km > 5km

11 km + 5 km > x

From these inequalities we can get:

16km > x

x > 11km - 5km

x > 6km

Then the possible lengths of the third side are:

6km < x < 16km

b) Now the sides are 12 mi and 12mi, then the inequalities are:

x + 12mi  > 12mi

12mi + 12mi > x

The first one gives:

x > 0mi

The second:

24mi > x

The possible lenghts are 0mi < x < 24mi

c) 25 yd and 10 yd

Here we will get:

25yd + 10yd > x  ----- >  30yd > x

x + 10 yd > 25yd -------> x > 15yd

The possible lengths are:

15yd < x < 30yd

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y= x^2+6x+4
axis of symmetry:
vertex:

Answers

Answer:

vertex (-3,-5) axis of symmetry x = -3

Step-by-step explanation:

Two bags contain marbles. Bag A contains 110 marbles, and Bag B contains 160 marbles. What percent fewer marbles does Bag A has than Bag B?

Answers

Bag A as required by the task content has 31.25 percent fewer marbles than Bag B.

How much as a percent is the number of fewer marbles in Bag A as that in bag B?

It follows from the task content that the percent fewer marbles which Bag A has relative to Bag B is to be determined.

As given in the task content; Bag A contains 110 marbles, while Bag B contains 160 marbles.

On this note, the difference between the number of marbles is; 160 - 110 = 50 marbles.

Hence, the percent of fewer marbles in Bag A relative to Bag B is;

= ( 50 / 160 ) × 100%

= 31.25%.

Therefore, Bag A has 31.25% fewer marbles than Bag B.

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Is 10 12 15 a right triangle?

Answers

No, 10, 12, and 15 are not the lengths of the sides of a right triangle.

A right triangle is a triangle with one 90 degree angle. The other two angles must be acute angles (less than 90 degrees).

The Pythagorean Theorem is a formula used to determine if three given side lengths can form a right triangle. The Pythagorean Theorem states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side, also known as the hypotenuse.

In this case, the side lengths of the triangle are 10, 12, and 15. Therefore, the Pythagorean Theorem can be written as:

10^2 + 12^2 = 15^2

100 + 144 = 225

244 ≠ 225

Therefore, 10, 12, and 15 are not the side lengths of a right triangle.

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1. An open box is to be made from a sheet of card 40cm by 30cm. A square of side x cm is to be
cut from each corner, as shown in the diagram, and then the sides will be folded up so that the
depth of the box will be x cm.

(a) Find in terms of x the length and width of the base of the box (ie AB and AD).
(b) The volume of the box is y. Write down an equation expressing y in terms of x.​

Answers

Step-by-step explanation:

AB = DC = 40 - 2x

AD = BC = 30 - 2x

there is not more explanation possible, I think.

we cut off from each side 2 pieces of x cm. so, AB, DC, AD, BC are the the remaining lengths.

the volume of the box is ground area times height (x is the length of the remaining flaps after the cut, so, when folding up these flaps/sides, they will be x cm high).

Volume = y = AB×AD×x

=> y = (40-2x)×(30-2x)×x = (1200 - 60x - 80x + 4x²)×x =

= (1200 - 140x + 4x²)×x = 4x³ - 140x² + 1200x

What is the solution?

Answers

The answer is no solution because of the lines are extended more they will never touch

The surface area of a cube is 24cm^2 . Find the
length of the sides.
Help please

Answers

The length of the sides of cube will be;

⇒ 2 cm

What is mean by Cube?

A cube is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six squared faces with eight vertices and twelve edges is called cuboid.

Given that;

The surface area of a cube = 24 cm².

We know that;

The surface area of a cube with side 'a' is,

⇒ S.A = 6a²

Here, The surface area of a cube = 24 cm²

Hence, We get;

⇒ 24 = 6a²

⇒ 24/6 = a²

⇒ a² = 4

⇒ a = √4

⇒ a = 2 cm

Thus, The side of cube = 2 cm

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Riders must be at least 42 inches tall to ride the coaster. Write an addition inequality to determine how much taller William must be to ride the coaster. Let x be the variable representing how much taller

Answers

An addition inequality to determine how much taller William must be to ride the coaster is, Height of William + x ≥ 42.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, Riders must be at least 42 inches tall to ride the coaster, and 'x' be the variable representing how much taller William should be.

Therefore, Height of William + x ≥ 42 is an inequality that may be used to calculate how much taller William has to be in order to ride the coaster.

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Three line segments have measures of 18 units, 12 units, and 10 units. Will the segments form a triangle?



Does it form a triangle?

Answers

No, the segments will not form a triangle based on the line segments provided.

For three line segments to form a triangle, they must satisfy the triangle inequality theorem. The triangle inequality theorem states that for any triangle, the sum of the lengths of any two sides of the triangle must be greater than the length of the third side.

This is because if the sum of the lengths of any two sides is less than or equal to the third side, it would not be possible to form a triangle with those side lengths, as the two shorter sides would not be able to reach the longer side to form the triangle.

In this case, the sum of the two shorter segments (12 units + 10 units) is 22 units, which is less than the measure of the longest segment (18 units). Therefore, the three segments will not form a triangle.

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Find the value of angle z. Need ASAP. STEP BY STEP​

Answers

Answer:

71 degrees

Step-by-step explanation:

y=19 degrees

z and y=90degrees

90 _19 to get y

A survey of 100 high school students provided this frequency table on how students get to school: What is the probability that a randomly selected student is a senior or a student who drives to school? [ ? P(Senior U Drive to school) Remember to reduce your answer.​

Answers

Answer:

I am kind of brain dead I haven't did this type of math for a long time but I am pretty sure the answer is 1/7.

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

HELP ME ASAP!!!!
A vertical mast is on top of building and is positioned 6' from edge of building. The mast casts a 90' shadow from front of building. Another building 24' tall casts a shadow 64'. What is the height of the mast?
a. 7ft 6in
b. 9ft 9in
c. 12ft
d. 33ft

Answers

Answer:

33.75

Step-by-step explanation:

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Melanie answered 18 of
24 questions correctly
on a test. What percent
of her answers were
correct?
|GIVING BRAINLIEST| (no links)

Answers

75 percent

Megan answered 18 questions correctly on a test. That is 75 percent of the total number of questions (24) which were on the test.

75% would be correct

(a) What is the probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50

Answers

Using the normal distribution and the central limit theorem, it is found that there is a 0.0901 = 9.01% probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50.

What is probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.

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How do you find the base and height of an isosceles triangle?

Answers

The base and height of an isosceles triangle can be found by using the Pythagorean theorem.The hypotenuse is also the base of the triangle.

First, you need to determine the length of the two sides that are equal, which are referred to as the "legs" of the triangle. Then, use the Pythagorean theorem to find the length of the hypotenuse, which is the longest side of the triangle.

Once you have determined the length of the hypotenuse, the height of the triangle can be found using the formula, h = √(b^2 - (l/2)^2). In this formula, b is the length of the hypotenuse, and l is the length of the legs.

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Two tangents each intersect a circle at opposite endpoints of the same diameter. Is it possible for the two tangents to intersect each other outside the circle

Answers

No, the tangents cannot intersect outside the circle.

When tangents intersect outside a circle, the measure of the angle they form is one half the difference of the intercepted arcs. Since the tangents are at the endpoints of the same diameter, both intercepted arcs would have to measure 180 degrees.

tangent

a tangent is the line drawn from an external point and passes through a point on the curve.

One real-life example of a tangent is when you ride a bicycle, every point on the circumference of the wheel makes a tangent with the road.

curve

A curve is a shape or a line which is smoothly drawn in a plane having a bent or turns in it.

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What is the distance of 2/3 from the horizontal axis in Cartesian plane?

Answers

Distance of 2/3 from the horizontal axis is 2 for a cartesian plane.

What is cartesian coordinate system?

The coordinate system in where the location of a point is identified by a pair of numerical terms and that has two reference axis is termed as cartesian coordinate system.

In cartesian plane the reference axis are named as X - axis and Y -axis.

In this system, location of a point p is identified by p (x, y) that means x is the x coordinate of point p and y is the y coordinate of point p. Generally, X-axis is horizontal, and Y-axis is vertical. Both axes are intersected at the origin.

What is the distance of 2/3 from the horizontal axis in cartesian plane?

The point coordinate 2/3 denotes the location of a point with respect to a reference direction in the polar coordinate system. In the polar coordinate system, the angle between horizontal axis and a reference point is called polar angle. we know tan angle = vertical coordinate / horizontal coordinate.

hence, tan angle = 2/3

for this reason, if we imagine a cartesian coordinate system 2 is the y coordinate and 3 is the x coordinate.

Finally, the distance of 2/3 from the horizontal axis is 2.

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As a nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For one of your regular patients, you always mix Medication A with Medication B in the same proportion. Last week, your patient's doctor indicated that you should mix 20 milligrams of Medication A with 16 milligrams of Medication B. However this week, the doctor said to only use 8 milligrams of Medication B. How many milligrams of Medication A should be mixed this week?

Answers

Answer:

10 milligrams of Medication A

Step-by-step explanation:

We'll write proportions/ratios for this:

20:16 is the usual proportion, and x:8 is this week's dose. The ratio from A to B has to be equal, so

20/16 = x/8

Cross-multiply:

(20)(8) = (16)(x)

160 = 16x

divide both sides by 16

x = 10

Please let me know if you have questions about this answer.

Can u please helppppppppp

Answers

Answer:

Draw a vertical line that goes through the point given.  This will make the two lines perpendicular.  The line given is horizontal, a vertical like would be 90° o the horizontal line.

Step-by-step explanation:

what is the mode of this data set? 4, 69, 84, 69, 90, 75, 94, 90, 90, 1, 5

Answers

Answer:

90

Step-by-step explanation:

90 because it occurs most in the data set.

Answer:

90

Step-by-step explanation:

The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

Solve the equation −14 - 1 4 (x – 26) = –200 for x.

Answers

Hello there!

Answer:

x = 39 2/7

Step-by-step explanation:

-14 - 14(x - 26) = -200

- 14 + 14 - 14(x - 26) = -200 + 14

-14(x - 26) = -186

-14(x - 26)/(-14) = -186/(-14)

x - 26 = 93/7

x - 26 + 26 = 93/7 + 26

x = 275/7

x = 39 2/7

area of a circle of radius is 6.5?​

Answers

Answer:

see below

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

A = pi (6.5)^2

A =42.25 pi

If we approximate pi by 3.14

A = 42.25 * 3.14 =132.665

If we use the pi button

A = 132.7322896

Answer:

132.73

Step-by-step explanation:

Translate this sentence into an equation.
45 is the sum of 19 and Victor's score

Answers

Answer:

Victors score= v

19 + v =45

Other Questions
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