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Answer: D) 1/32

Step-by-step explanation:

Answer:

4480ft³

Step-by-step explanation:

formula: V=⅓Bh (B- base) (h-hight)

B=L×W, B=17.5×32= 560

h=24ft

V=⅓(L×W)h

V=⅓(560)24

V=⅓(13440)

13440÷3=4480ft³

Answer:

x =97

Step-by-step explanation:

perpendicular (p) = 65

base (b) = 72

hypotenuse (h) = ?

We know by using Pythagoras theorem

h = √p² + b²

= √ 65² + 72²

= √9409

= 97

Answer:

32

Step-by-step explanation:

80/100 = .8

.8 x 40 = 32 games won

Answer:

32

Step-by-step explanation:

80% of the games were won.

v. out of 40 games were won

Take 80% and divide it by 100

80%/100 = 0.8

Now multiply it by 40.

0.8 * 40 = 32

Answer:

[tex]x=-\frac{8}{19}[/tex]

Step-by-step explanation:

2(4x + 5) = 9(3x + 2)

Solve for x

___________________

We have an alrebaric expressio and are asked to solve for x, which to do this, we need to isolate x.

2(4x + 5) = 9(3x + 2)

Distribute :

(2(4x) + 2(5)) = (9(3x) + 9(2))

8x + 10 = 27x + 18

Subtract 10 from both sides :

8x = 27x + 8

Subtract 27x from both sides :

-19x = 8

8 = -19x

Divide both sides by -19 :

[tex]x=-\frac{8}{19}[/tex]

Step-by-step explanation:

-(3x+y=32)

3x-2y=17

-3x-y=-32

3x-2y=17

-3y=-15

y=5

3x+(5)=32

-5. -5

3x=27

x=9

Answer:

x=9

y=5

Answer:

x = 9

y = 5

Step-by-step explanation:

3x + y = 32...(1)

3x - 2y = 17....(2)

multiplying equation (1) by 2 we get,

6x + 2y = 64...(3)

Adding eq(2) and (3) we get,

6x + 2y = 64

+ 3x - 2y = 17

----------------------

9x. = 81

therefore, x = 81/9

therefore, x = 9

substituting value of x in eq( 1)

3 * 9 + y = 32

27 + y = 32

y = 32 - 27

y = 5

Answer:

just crop it ok

Step-by-step explanation:

I'm not sure ok

Answer:

2/5

Step-by-step explanation:

= -5x - x = 2 + x

= -5x - x - x = 2

= x - x - x = -2/5

= -x = -2/5

= x = 2/5

Answer:

and

Step-by-step explanation:

Answer:

6.25

Step-by-step explanation:

Volume  of a rectangular prism is

V = length * width * height

150 = 6*4 * h

150 = 24h

Divide each side by 24

150/24 = h

6.25 = h

Answer:

6.25

Step-by-step explanation:

[tex] \tt \dashrightarrow 4y - 7 = 15[/tex]

[tex] \tt \dashrightarrow 4y = 15 + 7[/tex]

[tex] \tt \dashrightarrow 4y = 22[/tex]

[tex] \tt \dashrightarrow y = \cancel{\dfrac{22}{4}}[/tex]

[tex] \tt \dashrightarrow y = \dfrac{11}{2}[/tex]

[tex] \tt \dashrightarrow y = 5.5[/tex]

[tex] \large \underline{\boxed{\bf{y = 5.5}}}[/tex]

Hence, value of y = 5.5.

Answer: y = 5 ½ or y = 5.5

Step-by-step explanation:

4y - 7 = 15

Add 7 to both sides of the equation.

4y = 22

Divide both sides by 4

y = 5.5

Substitute y in the original equation.

4(5.5) - 7 = 15

22 -7 = 15

True.

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

1 + tan²A = sec²A , secA = [tex]\frac{1}{cosA}[/tex], cosecA = [tex]\frac{1}{sinA}[/tex] , cotA = [tex]\frac{cosA}{sinA}[/tex] , tanA = [tex]\frac{sinA}{cosA}[/tex]

Consider the left side

[tex]\frac{(1+tan^2A)cotA}{cosec^2A}[/tex]

= [tex]\frac{sec^2AcotA}{cosec^2A}[/tex]

= [tex]\frac{\frac{1}{cos^2A}(\frac{cosA}{sinA}) }{cosec^2A}[/tex]

= [tex]\frac{\frac{1}{cosAsinA} }{\frac{1}{sin^2A} }[/tex]

= [tex]\frac{1}{cosAsinA}[/tex] × sin²A

= [tex]\frac{sinA}{cosA}[/tex]

= tanA = right side , thus proven

Answer:

1e1e

Step-by-step explanation:

The pitch line length of the garage with the skillion roof, with the given dimensions and eave overhangs, is approximately 7.5 meters.

To calculate the pitch line length for the garage with a skillion roof, we need to consider the dimensions provided in the diagram and add the eave overhangs.

Let's assume the length of the garage is L meters, and the height from the top of the walls to the peak of the roof is H meters.

Calculate the pitch line length of the roof:

The pitch line length is the diagonal length of the triangular roof face. We can use the Pythagorean theorem to find it.

Pitch Line Length (PL) = √(L² + H²)

Add the eave overhangs:

The eave overhang is 500 mm on each side, so we need to add 1 meter (1000 mm) to the pitch line length.

Total Pitch Line Length (TPL) = PL + 1000

Now, let's calculate the pitch line length to the nearest millimeter.

For example, let's assume L = 6 meters and H = 2.5 meters.

Calculate the pitch line length (PL):

PL = √(6² + 2.5²)

PL = √(36 + 6.25)

PL = √42.25

PL = 6.5 meters

Add the eave overhangs:

TPL = 6.5 + 1

TPL = 7.5 meters

To know  more about length

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Answer:

-6

Step-by-step explanation:

I know I got the last one wrong, so I will hopefully get this one right

I am not that great with Proportional and Not Proportional, but

1. Y is 0.5 times x

2. Y is 1.5 times x

Answer:

90%

Step-by-step explanation:

20% = 18

1% = 0.8

100%=90%

Answer:

The amount of more money than Antonia that Cal will have in his account after 12 months is $100

Step-by-step explanation:

The given parameters are;

The amount Antonia currently has in her savings account, P₁ = $4,500

The amount Antonia saves per month, S₁ = $150

The amount Cal currently has in his savings account, P₂ = $3,400

The amount Cal saves per month, S₂ = $250

Let the

The amount, 'A₁', Antonia has in 12 months is given as follows;

A₁ = P₁ + 12 × S₁

∴ A₁ = $4,500 + 12 × $150 = $6,300

Similarly, the amount, 'A₂', Cal has in 12 months is found as follows;

A₂ = P₂ + 12 × S₂

∴ A₂ = $3,400 + 12 × $250 = $6,400

The amount of money than Antonia that Cal will have after 12 months, 'A₂₋₁', is given as follows;

A₂₋₁ = A₂ - A₁ = $6,400 - $6,300 = $100.

The amount of money than Antonia that Cal will have after 12 months, A₂₋₁ = $100.

Answer:

25.12 cm

Step-by-step explanation

circumfernce=3.14n

c=3.14·8

c=25.12

Answer: -23

Step-by-step explanation:

Answer:

9×7=63

the answer is 63

Answer:

Step-by-step explanation:

Using the linear combination method, you can multiply the first equation by 2 and add the equations to get 20x = 10. Dividing both sides by 20, x = 1/2. To solve for y, substitute 1/2 for x in the equation 8x + 7y = 39 to get 4 + 7y = 39. Solving this equation, y = 5. Checking this in the other equation, 4(1/2) – 14(5) = –68 results in 2 – 70 = –68 or –68 = –68. The solution of the system shown is (1/2, 5). The system 8x + 7y = 39 and 20x = 10 is formed by replacing 4x –14y = –68 by a sum of it and a multiple of 8x + 7y = 39. Since 20(1/2) = 10, the system 8x + 7y = 39 and 20x = 10 also has a solution of (1/2, 5)

Answer:

Using the linear combination method, you can multiply the first equation by 2 and add the equations to get 20x = 10. Dividing both sides by 20, x = 1/2. To solve for y, substitute 1/2 for x in the equation 8x + 7y = 39 to get 4 + 7y = 39. Solving this equation, y = 5. Checking this in the other equation, 4(1/2) – 14(5) = –68 results in 2 – 70 = –68 or –68 = –68. The solution of the system shown is (1/2, 5). The system 8x + 7y = 39 and 20x = 10 is formed by replacing 4x –14y = –68 by a sum of it and a multiple of 8x + 7y = 39. Since 20(1/2) = 10, the system 8x + 7y = 39 and 20x = 10 also has a solution of (1/2, 5).

Step-by-step explanation:

Answer:

$7.5

Step-by-step explanation:

you just divide 37.50 by 5 to get the price of an individual senior ticket price

Answer:

associative property

Step-by-step explanation:

because it involves grouping

The system of linear inequalities to model this situation is 4x+2y≤32, x≥2, y≥4. The correct option is (a).

The inequality 4x + 2y ≤ 32 represents the total number of hours available per week, which is limited to 32 hours.

The inequality x ≥ 2 represents that the carpenter must make at least 2 large bookcases per week.

The inequality y ≥ 4 represents that the carpenter must make at least 4 small bookcases per week.

These inequalities ensure that the carpenter stays within the time constraint of 32 hours and fulfills the minimum quantity requirements for both large and small bookcases.

Thus, the correct option is (a).

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Answer:

21

Step-by-step explanation:

Since there are 7 days in a week, we'll multiply 3 by 7, resulting in an answer of: 21.

Step-by-step explanation:

[tex] \frac{30}{6} = \frac{x}{5} \\ x = 25[/tex]

Answer:

You would receive $510.08 in return.

Step-by-step explanation:

In order to find the answer, you can use the formula to calculate the future value:

FV=PV*(1+i)^n

FV=future value

PV= present value= 500

i= interest rate=0.03/12=0.0025 per month

n= number of periods of time= 8

Now, you can replace the values in the formula:

FV=500*(1+0.0025)^8

FV=500*(1.0025)^8

FV=510.08

According to this, the answer is that you would receive $510.08 in return.

Answer:

I think it is $15

Step-by-step explanation:

Taking the test now.

Answer:

929

Step-by-step explanation: