Use formulas to find the lateral area and surface area of the prism.
A triangular prism has three rectangular sides of height 30 inches connecting two right triangular bases, one of which has a leg of length 24 inches and a hypotenuse of length 25 inches.

​(Round to the nearest whole number as​ needed.)

Answer

The answer is 16/3

Step-by-step-explain

F(x) = ⅓ • 4ˣ, F(2)

F(2) = ⅓ • 4²

F(2) = ⅓ • 16

F(2) = 16/3

Thus, The answer is 16/3

-TheUnknownScientist

Answer:

Step-by-step explanation:

16/3

I hope it's helpful

Answer:

a) I donot agree with him because as we see the sequence nicely we will find an interval of 8 between any two terms and 32 and 33 don't match them

Step-by-step explanation:

b) and c) Solution:

Given,

First term (a) = 4

Common difference (d) = 12-4 = 8

Now,

Since, they are in A.P.

nth term = a + (n-1)d

              = 4 + 8(n-1)

              = 4 + 8n-8

              = 8n-4

Again,

1st method for c)

100th term = a + 99d = 4 + 99*8 = 4 + 792 = 796

200th term = a + 199d = 4 + 199*8 = 4 + 1592 = 1596

2nd method for c)

100th term = 8*100 - 4 = 800 - 4 = 796

200th term = 8*200 - 4 = 1600 - 4 = 1596

Answer:

Option A, 4X + 40 expression is equivalent to the expression for the perimeter of the larger garden

Step-by-step explanation:

The complete question is

A garden is 15 feet long by 5 feet wide. The length and width of the garden will each be increased by the same number of feet. This expression represents the perimeter of the larger garden: (x+15)+(x+5)+(x+15)+(x+5). Which expression is equivalent to the expression for the perimeter of the larger garden? Select all that apply.

Solution

The expression for the perimeter of the larger garden: [tex](x+15)+(x+5)+(x+15)+(x+5)[/tex]

If the given expression is expanded and solved, we get the following

[tex](x+15)+(x+5)+(x+15)+(x+5)\\X+X+X+X + 15+15+5+5\\2X+2X+30+10\\4X +40[/tex]

Hence, option A is correct

Answer:10

Step-by-step explanation:

Answer:A

Step-by-step explanation:

The circle is open eliminating the equal to options, then look at the arrow, which is going negative showing x < 5

Answer:

B - No. The p-value of the appropriate test is less than 0.05

Step-by-step explanation:

I found it online in some answer key pdf

From the solution to the question that we have here, the answer is A. There is no convincing evidence that the hours worked decreased after the increase in salary.

H0: u = 13

H1: u < 13

sample size n = 400

bar x = 12.5

mean = 13

[tex]t = \frac{x-u}{s/\sqrt{n} } \\\\t = \frac{12.5-13}{6.5/\sqrt{400} } \\[/tex]

= -1.5388

degree of freedom: 400 -1 = 399

∝ = 0.05

Find the p value

p(t < -1.5385)

= 0.062

The p value is greater than the level of significance. We therefore fail to reject the null hypothesis.

Read more on statistics here:

https://brainly.com/question/19243813

Answer:

124°

Step-by-step explanation:

measure of arc DC = 44 because the measure of central angle equals the measure of its arc.

measure of arc CB = 80 because the measure of central angle equals the measure of its arc.

measure of arc DC = measure of arc DC + measure of arc CB

                                = 44 + 80 = 124°

Answer:

lines that will never touch

Step-by-step explanation:

these are lines that you could keep drawing and they will never cross or touch

Answer:

Solution given:Angle JKL and angle MKQ are complementary angles. The measure of angle JKL is twice the measure of angle MKQ

<JKL=2<MKQ

we have

<JKl+<MKQ=90°[complementary]

2<MKQ+<MKQ=90°

3<MKQ=90°

<MKQ=90°/3=30°

and <JkL=2×<MKQ=2×30°=60°

Answer:

38

Step-by-step explanation:

➜78-[5+3×(25-20)]

➜78-[8(5)]

➜78-40

➜38

Answer:

A = 5 units²

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = [tex]\frac{1}{2}[/tex] × d₁ × d₂

d₁ = x + 4 = 1 + 4 = 5

d₂ = 2y - 4 = 2(3) - 4 = 6 - 4 = 2 , then

A = [tex]\frac{1}{2}[/tex] × 5 × 2 = 5 units²

Answer:

A= 5m

Step-by-step explanation:

The equation to find the area of a rhombus, when knowing the diagonals, is:

To solve this, we have to find first d1 and d2, which are marked in a parenthesis:

d1= 5m. Now, let's find d2:

Knowing the values of both diameters, we can solve the equation for the area:

The area of the rhombus is 5 meters.

Hope it helps!!

Answer:

Below, and I hope that this helps you.

Step-by-step explanation:

So you see that it says Find the probability that the sum on the two dice is 4 given that the sum is even. So that means that it would be 2 dices that have rolled a 4 and the equation would be 2×4= 8, So that means that you want to write the answer which is 8 in a fraction, and 8 in a fraction is 8/1

Answer:

C

Step-by-step explanation:

i am smart

Answer:

4.96 Kilometers

Step-by-step explanation:

Answer:

12.9 kilometers

Step-by-step explanation:

Find how many kilometers Kyle ran by dividing 8 by 0.62:

8/0.62

= 12.9

So, Kyle ran approximately 12.9 kilometers

Answer:

= # of games playing

4.75x + 3 = 42

4.75x = 39

x = 39 /4.75

x = 8.21

answer

Shakira played about 8 games

Step-by-step explanation:

Answer:

about +–1%; between 46.5% and 47.5%

Step-by-step explanation:

Answer:

1] Two consecutive multiples = 50,55. 2] Sahil , Mother current age = 13,42 3] Length of rectangle = 4.5  

Step-by-step explanation:

1] Let one multiple of 5 be = n. As there are two consecutive multiples, other multiple = n + 1. Given : sum of two consecutive multiples of 5 is 55

So, 5n + 5(n+1) = 55

5n + 5n + 5 = 55 ; 10n + 5 = 55 ; 10n = 50 - 5 = 50 ; n = 50 / 10 ; n = 5

n  {One multiple} = 5 ; Other multiple {n+1} = 5 + 1 = 6

2] Let present age of Sahil be = x. So, present age of Sahil mother = 3x

5 years hence : (x+5) + (3x+5) = 66  {Equation 1}

Solving Eq 1} : x + 5 + 3x + 5 = 66 ; 4x + 10 = 66 ; 4x = 66 - 10 ; 4x = 56

x = 56/4 ; x = 14 {Sahil Current Age}. Mother current age = 3x = 3 x 14 = 42

3] Perimeter of rectangle = 2 (Length + Width). Perimeter = 13 , Width = 2.

So, 13 = 2 (L +2) ; 13 = 2L + 4 ; 2L = 13 - 4 = 9 ; L = 9/2 ; Length = 4.5

Answer:

6

Step-by-step explanation:

Answer:

1st answer i think

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

There are no multiples of 5 or 8 that would end with 9. But if he walks 3 large dogs he gets 24 dollars. if he walks 5 small dogs thats an additional 25 dollars. so he would make 49 dollars.

Answer:

8

Step-by-step explanation:

Answer:

4 CUPS OF MILK

Step-by-step explanation:

2 cups of milk=8 PANCAKES

2       X

8       16

16X2=32

32/8= 4

Answer:

40 km^2

16 cm^2

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

Actual area = scale factor x scaled area

8 x 5 = 40 km^2

Scaled area on the map = 128.8 = 16 cm^2

Answer:3/10 or 0.3

Step-by-step explanation:

y2-y1/

x2-x1

12-9/6--4

3/10

or 0.3

slope=3/10 or 0.3

Answer:

4.9 sq inches

Step-by-step explanation:

the side of the square = √24 = 4.9 sq. inches

Answer:

Step-by-step explanation:

Check if the relationship is linear. Verify the difference between areas.

We can see the difference is not common.

It means we can exclude options B and C.

The remaining options are quadratic (A and D).

Try the last column with option A:

Verify the last option:

We can check and confirm the other columns are correct as well.

Answer:

Solution given:

for 1st

A=x²+1908

when x=25

A=25²+1908=2533 satisfied for 1st

when x=30

A=30²+1908=28008[not satisfied]

result : not satisfied

for 2,nd

A=495x+2038

when

x=25

A=495×25+2038=14413[not satisfied]

result : not satisfied

.for 3rd.

A=99x+58

when

x=25

A=99×25+58=2533[satisfied]

when x=30

A=99×30+58=3028[satisfied]

when x=35

A=99×35+58=3523[not satisfied}

result; ,not satisfied

for 4th

A=x²+44x+808

when

x=25

A=25²+44×25+808=2533{satisfied}

when x=30

A=30²+44×30+808=3028[satisfied]

when x=35

A=35²+44×35+808=3573[satisfied]

when

x=40

A=40²+44×40+808=4168{satisfied}

when x=45.

A=45²+44×45+808=4813{satisfied}

result :satisfied

so..correct option is D.A=x²+44x+808

Answer:

In <STU, the measure of <U=90°, TS = 73, SU = 55, and UT = 48. What ratio

represents the sine of <S? what would this be?