Solve ABCD. Round the answers to the nearest hundredth.
A. MZD=69, BC = 16.8, CD = 6.45
B. mD=159, BC = 16.8, CD = 6.45
C. MZD= 69, BC = 6.45, CD = 16.8
D. MZD= 159, BC = 6.45, CD = 16.8
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Answer:

Step-by-step explanation:

Surface Area of Cuboid= 2(6x3)+2(6x10)+2(3x10)=216m²

Surface Area of Sphere= 4πr²

                                       = 4xπx6²

                                       = 144πm²

Surface Area= 144π+216

Answer:

use Pythagoras theorem

Step-by-step explanation:

x=7 or X=-24 but for second value of X is not correct since you can not have a negative length for opposite side

therefore take X=7 as the answer

Answer:

? = 14.48

Step-by-step explanation:

This is a right triangle so you can use trigonometry.

since you know the opposite and hypotenuse sides, use sin.

sin(?) = opposite/hypotenuse = 4/16 = 1/4

? = arcsin(1/4)

? = 14.48

Answer:

16.33 km

Step-by-step explanation:

The square length of hypotenuse is equal to the sum of two legs' square value:

|HI|^2 + |JI|^2 = |HJ|^2

|HI|^2 + (24.28)^2 = (29.26)^2

|HI|^2 + 589,5184 = 856,1476 (these are full values and will be easier to calculate with a calculator, if not we can use the approximate values: 589,5 and 856,1)

subtract 589,5184 from both sides

|HI|^2 = 266,5636 find the root of boths sides

HI = 16.33 approximately

The base HI of the right triangle is approximately 16.26 km.

Given is a right triangle with perpendicular JI = 24.28 km and hypotenuse HJ = 29.26 km we need to find the base HI.

To find the base HI of the right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let's denote the base HI as x.

According to the Pythagorean theorem:

HJ² = JI² + HI²

Substituting the given values:

(29.26 km)² = (24.28 km)² + x²

Simplifying the equation:

855.4276 km² = 590.7584 km² + x²

264.6692 km² = x²

To find x, we take the square root of both sides:

x = √(264.6692 km²)

Calculating the value:

x ≈ 16.26 km

Therefore, the base HI of the right triangle is approximately 16.26 km.

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Using proportions, it is found that they spent a total of £5.6 for these cartons of apple juice.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the daily fraction of a carton they drink is given by:

[tex]\frac{1}{3} + \frac{2}{5} = \frac{5 + 6}{15} = \frac{11}{15}[/tex]

Hence, applying the proportion, over 10 days, the amount of cartons they drink is given by:

[tex]10 \times \frac{11}{15} = \frac{110}{15} = 7.33[/tex]

Rounding up, they buy 8 cartons, each at £0.7. Hence the total amount spent is given by:

8 x £0.7 = £5.6.

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From the provided equations, the equation which has no solution is 3 4 x less-than-or-equal-to 2 +4x. Option 2 is correct.

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

From the given equations, the equation which has no solution has to be found out. When the value, does not equate for the expression, then the expression has no solution.

The first equation given in the problem is,

[tex]6 (x +2) > x-3[/tex]

Solve it further,

[tex]6 x +12 > x-3\\6x-x > -3-12\\5x > -15\\x > -3[/tex]

The second equation given in the problem is,

[tex]3+ 4x \leq 2 (1 +2x)[/tex]

Solve it further,

[tex]3+ 4x \leq 2 +4x\\4x- 4x \leq 2-3\\0\leq-1[/tex]

The value of 0 is greater than the number -1. Thus, this inequality has no solution.

The option 3 and 4 has a solution. Hence, from the provided equations, the equation which has no solution is 3 4 x less-than-or-equal-to 2 +4x. Option 2 is correct.

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Answer:

[tex]x=\sqrt{120}[/tex]

Step-by-step explanation:

Solving for two legs of triangle first.

Top Triangle
[tex]a^2+b^2=c^2[/tex]

[tex]15^2+b^2=19^2[/tex]

[tex]b^2=19^2-15^2[/tex]

[tex]b^2=361-225\\b=\sqrt{136}[/tex]

Bottom Triangle

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

[tex]4^2+b^2=(\sqrt{136} )^2\\16+b^2=136\\b^2=120\\b=\sqrt{120}[/tex]

Answer:

11 socks

Step-by-step explanation:

they could all be a pair of grey and brown socks but if you pull 11 at least one pair will be pulled

Answer:

1. 2n + 10

2. 12x + 60 - 36y

3. -a + 4 - 6b

Step-by-step explanation:

1) Distribute the 2.

2(n) + 2(5)

= 2n + 10

2) Distribute the 12.

12(x) + 12(5) + 12(-3y)

= 12x + 60 - 36y

3) Distribute the negative sign.

note: a single negative sign is the same as -1

a(-1) + -4(-1) + 6b(-1)

= -a + 4 - 6b

hope this helps!

Answer:

96 in²

Step-by-step explanation:

I took the test :)

Answer:

96 in² for K12

Answer:

12x - y

Step-by-step explanation:

14x - (2x + y) ← distribute parenthesis by - 1

= 14x - 2x - y ← collect like terms

= 12x - y

Answer:

12x - y

Step-by-step explanation:

14x -(2x +y)

14x -2x -y

12x -y

Answer:

x=12

Step-by-step explanation:

ALready, we know that in a right angles, the total sum gives ninety degrees.

  Hence,

 6x-2+20=90

 6x+18=90

  Collect like terms

  6x=90-18

  6x=72

  Divide both sides by the coefficient of x, 6

Therefore, x=12

Answer:

y = -9

Step-by-step explanation:

Any line that is parallel to the x-axis has a slope of 0.

since the y-value in the point is -9, that is the y-intercept.

So, our equation is y = -9.

Answer:

1. Q1 = 5

2.Q2 = 9

3.Q3 = 15

4.D5 = 9

5.D7 = 14.1

6.D8 = 17.4

7.P25 = 4.5

8.P60 = 11.2

9.P75 =  15.75

10.P30  = 5.3

Answer:

34^12  - which is approximately 2.386420684^18

Step-by-step explanation:

By the laws of indices:

(34^2)^6

= 34^(2*6)

= 34^12

- which is approximately 2.386420684^18

Answer: B

Step-by-step explanation:

Answer:

Examine each term of the polynomial to determine whether it is even, odd, or neither.

Even function → symmetry about the y-axis

Odd function → symmetry about the origin

1) y = x⁴ is an even function, as it has symmetry about the y-axis

y = x² is an even function, as it has symmetry about the y-axis

Therefore, x⁴ + x² is an even polynomial

2) [tex]\sf y=6x^5[/tex] is an odd function, as it has symmetry about the origin.

[tex]\sf y=-x^3[/tex] is an odd function, as it has symmetry about the origin.

Therefore, [tex]\sf y=6x^5-x^3[/tex] is an odd polynomial

**Please see attachments for examples of even and odd functions**

Note:-

Every power of function variables are responsible for even odd like powe is odd function is odd power is even function is even

#1

4 and 2 are even

Even

#2

5 and 3 are odd

Odd function

If Clovis has spent a total of 123.35 for airline ticket and taxi ,the percent of fare that He tip the taxi driver is At 20%.

A percentage serves as a number or ratio which is been expressed as a fraction of 100.

The amount paid for the airline Ticket and the Taxi is 123.35

Sales Tax on the airline Ticket is 15% of $69, which can be calculated as [tex](15/100 * 69)=10.35[/tex]

The amount without any tip can be calculated as[tex][10.35 +20+69+(2.5*8)][/tex]

To get the amount with the tip, we will substract the from the total amount of airline ticket 123.35 from amount for the tip which is

(123.35-119.35)= 4.

Then we can calculate percentage of the tip as

[tex](4/20 *100)= 20%[/tex]

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The answer is  C

- airline ticket: $69

- sales tax, 15%: $10.35

- baggage fee: $20.

- taxi:  8 miles * $2.50 per mile = $20

Sub-total: 69 +10.35 + 20 + 20 =  $ 119.35

If Clovis has spent a total of $123.35 => tip = 123.35 - 119.35 = $4.00

at what percent of his fare did Clovis tip the taxi driver?

[$4 / $20] * 100 = 20%

Answer:

281

Step-by-step explanation:

12*4 rectangle 2  times because theres 2 of the same surfaces

5*4 rectangle 2 times

12*5 rectangle on the bottom surface 1 time

4 triangle surfaces of (5*5)/2

7*5 rectangle on top

add and you get 281

Answer: possible wayways 3 × 4 = 12

If one more drink was added, possibilities will become 3× 5 = 15

Number of possi left ways will increase by 15 - 12 = 3

Step-by-step explanation:

The true statement about the metric unit of mass is (c) a centigram is 100 times greater than a microgram.

To do this, we simply test the options

We have the following highlights from the table of the metric units of mass:

The above highlights mean that, the true statement about the metric unit of mass is (c) a centigram is 100 times greater than a microgram.

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Step-by-step explanation:

Let O be the centre of the circle. Since P and S are the points of contact of tangents AD and DC respectively, OP ⊥ AD and OS ⊥ DC

Also, AD ⊥ DC (given), therefore, OPDS is a square.

BR = BQ = 27cm...(tangents from an external point to a circle are equal in length)

therefore, CR = CB - BR = (38 - 27)cm = 11cm

SC = CR = 11 cm...(tangents from an external point) therefore, DS = DC - SC = (25 - 11) cm = 14 cm.

therefore,

Radius of a circle = OP = DS = 14 cm...(therefore, OPDS is a square).

Answer:

14 cm

Step-by-step explanation:

Given

Solving

Using the average rate of change, it is found that the average rate is of:

(1) 2.1 °F per minute

It is given by the change in the output divided by the change in the input.

In this problem:

Hence, in 30 minutes, the temperature increased 63ºF, hence the rate is given by:

r = 63/30 = 2.1 °F per minute.

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Answer:

Harper is 17 and Cadence is 44.

Step-by-step explanation:

First, we can set up an equation to displays the sum of both ages.

Let x = Harper's age and y = Cadence's age

x+y=61

8 years ago, this means the sum will decrease by a total of 16 as we have to subtract 8 from both variables

The equation to represent 8 years ago is: x+y=45

Now we can write another equation to represent Cadence being 4 times older than Harper (8 years ago)

y=4x

We can substitute this back into the equation we had for the ages 8 years ago.

x+(4x) = 45

5x=45

x=9

Now, Harper's age 8 years ago is 9 years old. We add 8 to this number to determine that Harper is currently 17 years old.

We can insert this into the original equation to determine Cadence's age.

17+y=61

y=44

Thus, Cadence is currently 44 years old

I think one two and three are correct if you do the math and put the numbers in the perenthisis (x on the left, y on the right) to the equation then you will get the answer.

Answer:

Shown division using an area model above, Yes, shown 24 ÷ 4 with one rectangle above. Question 2. Answer: Shown division using an array as shown above, 25 ÷ 4 = Quotient = 6 and Remainder = 1, Shown division using an area model above, Yes, shown 25 ÷ 4 with one rectangle above and showed

Answer:

a) the product is equal to 953.

b) the product is greater than 443.

c) the product is greater than 181.

Step-by-step explanation:

a) 953 × 63/63 = 953

Therefore, the product is equal to 953.

b) 443 × 86/79 = 482.25

Therefore, the product is greater than 443.

c) 181 × 30/28 = 193.93

Therefore, the product is greater than 181.

Hope this helps =)

Answer:

Your right, it's D.

Step-by-step explanation:

The perimeter of the land that Tony will fence around the rectangular piece of land that he owns is 56 meters.

The measure of the boundary of the sides of a rectangles called its perimeter. The perimeter of a rectangle is twice the sum its length and width.

[tex]P=2(l+w)[/tex]

Here, (l) is the length of the rectangle and (w) is the width of the rectangle.

The land has an area of 192 m2 and the length is 4m longer than the width. Let suppose the length is l. Thus,

[tex]l=4+w[/tex]

Now the area of rectangle is the product of length and width. Thus,

[tex]A=l\times w\\192=(4+w)\times w\\192=4w+w^2\\w^2+4w-192=0\\w^2+16w-12w-192=0\\w(w+16)-12(w+16)=0\\(w+16)(w-12)=0\\w=-16,12[/tex]

Taking positive side, w=12. The width of the rectangle is 12 m. The length of the rectangle is 4 m longer than the width. Thus, the length of it si 16 m (12+4). Its, perimeter is,

[tex]P=2(16+12)\\P=56\rm\;m[/tex]

Thus, the perimeter of the land that Tony will fence around the rectangular piece of land that he owns is 56 meters.

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