The missing side length is 5.7.
What would be themissing side length?The missing side length AB, can be calculated using the Pythagorean Theorem.The Pythagorean Theorem states that in a right triangle, the sum of the squares of the lengths of the two sides adjacent to the right angle (A and B) is equal to the square of the length of the hypotenuse (C).In other words, AB^2 + BC^2 = AC^2.In this case, AB^2 = AC^2 - BC^2, or AB^2 = 6.7^2 - 3^2, which simplifies to AB^2 = 44.89.Taking the square root of both sides yields AB = 6.7.Therefore, the missing side length, AB, is 6.7.The missing side length of a triangle with sides of lengths a, b, and c is calculated by using the Pythagorean theorem, which states that a^2 + b^2 = c^2. In this case, we are given that side c is 3, and side a is 6.7.Using the Pythagorean theorem, we can solve for side b by rearranging the equation to read b^2 = c^2 - a^2. Plugging in our known values, we get b^2 = 9 - 44.89, or b^2 = -35.89.Since the square root of a negative number is not a real number, this implies that there is no real number solution for b, and therefore the missing side length of the triangle is not possible.
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If f(-5)=0, what are all the factors of the function f(x)=x^3-19x+30? Use the remainder Theorem.
The requried other factors of the given function are (x - 2) and (x - 3).
What is the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
here,
Given function, f(x) = x³-19x+30,
One of the factors of function is x = -5 or x + 5 = 0
Following the remainder theorem to determine the others factor,
= given function / one of the factor
= [x³-19x+30] / [x + 5]
= (x - 2)(x - 3)
Thus, the requried other factors of the given function are (x - 2) and (x - 3).
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What is the solution for the system of linear equations shown in the graph?
Graph and answers in picture below
Answer:
(d) (-1/4, 3/4)
Step-by-step explanation:
You want the solution to the graphed system of equations.
SolutionThe solution is the point that satisfies both equations, the point where the lines intersect. That point is in the 2nd quadrant, where x-values are negative.
The only suitable answer choice is ...
(x, y) = (-1/4, 3/4)
2 IMAGES BELOW PLEASE HELP!
Answer:
B
Step-by-step explanation:
Minimum: 4
Lower Quartile (Q1): 7
Median: 9
Upper Quartile (Q2): 13
Maximum: 14
Step-by-step explanation:
B.
you can see by the box plots and notice that A doesn't have the same
The diameter of a circle is 38 centimeters. What is the circle's area?
Use 3.14 for . SHOW WORK IF YOU ATTACH A FILE YOU ARE GOING TO GET REPORTED
Answer:
area of a circle ⭕= πr²
radius = diameter ÷2;
radius = 38÷2
radius = 19
3.14 * 19²
= 1133.54 cm²
A company is expanding its building area from 13,000 square feet to 18,720 square feet. What is the percentage increase of the area of the building space?
A.
44%
B.
56%
C.
57.2%
D.
4.4%
18720-13000=5720
5720÷13000=0.44
Therefore,option A is correct,i.e.,44%
Find the area of the figure below and please show how you got the answer.. Thanks
Determine whether the function f(x) = 340(0.765)x
represents exponential growth, exponential
decay, or neither. Justify your answer.
Answer:
Exponential decay since the base (0.765) of the exponential is greater than 0 but less than 1.
Shana wants to buy a music player. She has $100 cash.
1. Can she afford a $79 unit plus HST? Yes or No?
Provide an estimate or a calculation to support your answer:
Answer:
Yes
Step-by-step explanation:
A $79 unit plus HST will be 89.27
3
8.) La Venadita gave Mr. Gonzalez 10 pounds of
ceviche. Mr. Gonzalez gave Mr. Hopkins 6 pounds
of ceviche. How many pounds of ceviche does Mr.
Gonzalez have left?
Answer:
4
Step-by-step explanation:
Mr Gonzalez had 10 pound. Then Mr. Gonzalez gave away 6 pounds. Now Mr. Gonzalez has 4 pounds (10 pounds-6 pounds)
Help this is about shapes
Answer:
exactly one pair of parallel sides =E
two pairs of sices of equal length = B,D
no right angle = A,C
A pair of socks is sold for $2.50. The retailer added $.50 to the original cost. What was the cost of the socks to the retailer? ($)
I need help with #3 and #1
Answer:
1) v = (30 cm)/(0.03 s) = 1000 cm/s = 10m/s
3) The driver is lying. The witness said that the accident happened in a blink of an eye and if the driver was really going at 10 km/hr, he would have only traveled 0.83 m out of the parking lot
PLEASE FAST
Solve the equation for t.
4(t – 2.9) ≥ 3.6
t ≥ 17.3
t ≥ 11.5
t ≥ 3.8
t ≥ 1.6
Answer:3.8
Step-by-step explanation:
PLZZZ HELPPL ASAP
Cartilage is softer than bone, and most of the bones in your skeleton begin as cartilage. Where can you still find cartilage in an adult?
A joint in knee
B. top of skull
C.femur
D. the center of bone
Answer:
A. Joint in knee
Step-by-step explanation:
There's the articular cartilage on top of the bones in the joint, and the meniscus cartilages that act as shock absorbers between the bones.
Help me please!! please
Answer: With the help of the internet, I've come to the conclusion that √5/3 is irrational. I might be wrong though. Hope this helps.
Step-by-step explanation:
Prove that limx→2 x/1+x= 1/2 using the definition of limit
A line passes through the point (-10,1) and has a slope of 3/2. Write an equation in point-slope form for this line.
The line passes through the point (-10,1) and has a slope of 3/20 has the equation as: y - 1 = 3/2 (x + 10)
How to write the equation of the lineThe general form of a linear equation is y - y₁ = m (x - x₁).
It draws attention to the line's slope and one of the line's points (that is not the y-intercept)
The point slope formula is given by y - y₁ = m (x - x₁), where:
y = output value
y₁= the given y coordinate point
m = slope
x = input value
x₁ = the given x coordinate
substituting the point (-10,1) and slope 3/2
y - y₁ = m (x - x₁)
y - 1 = 3/2 (x + 10)
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What is 37.52 rounded to the nearest whole
Answer:
38 because the 5 tells the 7 to round up to 8
hope this helps
have a good day :)
Step-by-step explanation:
Find the trigonometric ratios for both acute angles in fraction and decimal form to the nearest ten-thousandths when appropriate.
The trigonometric functions are sin A = 12/13, sin B = 5/13, cos A = 5/13, cos B = 12/13, tan A = 12/5, and tan B = 5/12 as fractions.
What are Trigonometric functions?Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.
The trigonometric functions are given in the question
Apply the sine ratio on the given right triangle
⇒ sin(θ) = Perpendicular/hypotenuse
sin A = BC/AB
sin A = 12/13
sin B = AC/AB
sin B = 5/13
Apply the cosine ratio on the given right triangle
⇒ cos(θ) = Base/hypotenuse
cos A = AC/AB
cos A = 5/13
cos B = BC/AB
cos B = 12/13
Apply the tangent ratio on the given right triangle
⇒ sin(θ) = Perpendicular/Base
tan A = BC/AC
tan A = 12/5
tan B = AC/BC
tan B = 5/12
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Determine whether the triangle can have sides of the given lengths. 3 cm. 10 cm. 8 cm
Answer:
Yes
The inequality of the triangle:
[tex]a < b+c,\ b< a+c,\ c<a+b[/tex]
Step-by-step explanation:
[tex]10<3+8[/tex]
[tex]3<10+8[/tex]
[tex]8<10+3[/tex]
The inequality works, therefore these sides can make a triangle
5 cm
7 cm
9 cm
12 cm
Work out the perimeter of this shape.
Answer:
33 cm
Step-by-step explanation:
Perimeter formula = l + l + w + w, or l x w
Just add all the sides whch equals 33
Answer: 5 cm + 7 cm + 9 cm + 12 cm = 33 cm; Perimeter = 33 cm
Step-by-step explanation:
To find the perimeter of a shape, all you need to do is add up the measure of all the sides.
how do u estimate 5004
Answer:
[tex]5004 \approx5000[/tex]
Answer:
Step-by-step explanation:
You would have know to how much accuracy you want to know. Estimates are about ball parking a number into some other idea about an easy way to understand what a number represents. 5,000 might be a good estimation for a distance that you're going to walk, if the exact distance is 5,004. You get a pretty good idea of how far , time wise, energy required ect ect.. when you say 5,000 So estimation is really about making the numbers easier to use and understand. Numbers are "abstract" they only represent ideas.
need some help with this
The length of the missing side is 54.
What is Triangle?Triangle is a closed polygon consisting of three sides, three vertices and three angles.
Similar triangles are those triangle for which the ratio of corresponding sides is same without affecting the shape.
Given that ΔABC and ΔPQR are similar.
Let x be the side length of PR.
Ratio of their side lengths are equal.
AB : PQ = BC : QR = AC : PR
5 : 45 = 8 : 72 = 6 : x
Take the ratios 8 : 72 = 6 : x
⇒ 8 / 72 = 6 / x
Cross multiplying,
⇒ 8x = 72 × 6
⇒ 8x = 432
⇒ x = 432 / 8 = 54
Hence the side length missing is 54 units.
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5
Which fraction is equivalent to 20
?
N
Answer:
4/20
Step-by-step explanation:
The graph below represents the linear equation y = 1/2x - 3.
A second linear equation is represented by the data in the table.
x | y
-1 | 1
0 | 0
2 | -2
3 | -3
What is the solution to the system of equations?
A) (-2, -4)
B) (1, -1)
C) (2, -2)
D) (4, -4)
Answer:
(2,-2)
Step-by-step explanation:
The answer is the intercept point of both lines, so we need to find the point when both the line touches, with out graphing we can see by the table that point (2, -2) intercepts with the line on the graph.
hope this helps :)
Answer:
C) (2, -2)--------------------------
From the table we see each y-coordinate is the negative of the corresponding x-coordinate. It gives us the second line:
y = - xThe first line is given y = 1/2x - 3, equate both to get:
- x = 1/2x - 3-2x = x - 6x + 2x = 63x = 6x = 2Then the value of y:
y = - x = - 2The solution is (2, - 2).
An engine spins a wheel with radius 5 inches at 800 rpm. How fast is this wheel spinning in miles per hour?
The wheel is spinning at 23.80 miles per hour
How determine how fast the wheel spinning in miles per hour?The wheel speed in miles per hour can be calculated using the expression below:
Speed in miles per hour = Wheels RPM × 2 × π × r × (60 / 63360),
where r is the radius of wheel , 60 converts minute to hour and 63360
converts inches to miles
Speed in miles per hour = 800 × 2 × π × 5 × (60 / 63360)
Speed in miles per hour = 23.80 miles per hour
Thus, the wheel spins at 23.80 miles per hour
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Beginning from a depth of 35 feet below the surface, a whale swims upward and jumps to a height of less than 17 feet above the surface. Use an inequality to model the possible change in the number of feet, r, of the whale's elevation.
Answer:
R=17
Step-by-step explanation:
R=17
It says the whale has swam upwards and jumps to a heigh less then 17 and it says model the possible change in the number of feet, (R)
Thus R=17 Will Be correct
Help me with this question please! NO FILES!
Answer: i don't know
Step-by-step explanation:
i need points but good luck
Please help, give brainliest
Answer:
The answer is B and C
No explanation needed cuz I am sure for my answer
Wilmer cashed his paycheck at Check Express. The fee at Check Express is 9% of the amount of the check. His paycheck was $291. How much was the fee for Wilmer to cash his paycheck?
Answer:
$26.19
Step-by-step explanation:
9% as a decimal is 0.09.
So, the fee is [tex](291)(0.09)=\$26.19[/tex].
Answer:
$26.19
Step-by-step explanation:
.09 x 291 = 26.19