Write two expressions that are equivalent to 4n -5.

Answer:

y=15

x=43

(any variable can be used, I used x and y to make it easier to show)

Step-by-step explanation:

x+y=58

x-y=28

get x by its self

x=58-y

then subsitute into the other equation

(58-y)-y=28

58-2y=28

-2y=-30

y=15

sub. again

x+15=58

x=43

Step-by-step explanation:

Alina is building a roof for a dog house with the dimensions shown. She uses plywood to make the roof with the dimensions shown, but with an open bottom.

A net of a square pyramid has a square base with side lengths of 4 feet, and 4 triangular sides with heights of 3 feet.

Find the surface area of the roof.

The area of each triangular face is  

✔ 6

ft2.

The surface area of the roof is  

✔ 24

ft2.

The surface area is 24 ft² and Alina need to consider four faces while buying shingles for the roof.

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Alina is building a roof for a dog house

A net of a square pyramid has a square base with side lengths of 4 feet, and 4 triangular sides with heights of 3 feet.

Find the surface area of the roof.

The surface area of each triangular face is  given by the formula

= (1/2) * base * height

= (1/2) * 4 * 3

= 6 ft²

The surface area of the roof is  

= 4 * 6

= 24 ft²

She'll need to consider 4 faces when buying shingles for roof .

To know more about Surface Area

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Answer:

42

Step-by-step explanation:

Answer:

A cubic function

Step-by-step explanation:

I graphed it and connected the lines on desmos then compared to the types of calculus graphs on the search engine.

Answer:

Step-by-step explanation:

Use points on the graph:

Find the slope:

The y-intercept is known b = 7, so the equation is:

Slope

Equation

Answer:

53.62 m

Step-by-step explanation:

Length of arc = θ/360 × 2πr

r = XZ = 12 m

m<XYZ = 180 - 108 = 72° (angles on a straight line)

θ = 85° + 72° + 108° = 265°

Length of arc YWV = 256/360 × 2 × π × 12

= 53.6165146 ≈ 53.62 m (nearest hundredth)

Answer:

-6 + 2 = -4

Step-by-step explanation:

-6 + 2 = -4

Answer:

Below in bold.

Step-by-step explanation:

Ratio of areas is 3^2 : 13^2

= 9 : 169.

Ratio of volumes = 3^3 : 13^3

= 27 : 2197.

Answer:

1,280

Step-by-step explanation:

Answer:

2/6

Step-by-step explanation:

divide 4/12 by two(top and bottom) to get 2/6. or multiple 2/6 by two (top and bottom) to get 4/12.

Answer:

[tex]volume \ of \ cylinder = \pi r^2 h[/tex]

[tex]volume (A) = 3.14 \times 4 \times 4 \times 12 = 602.88 cm^3\\\\volume (B) = 3.14 \times 10 \times 10 \times 8 = 2512 cm^3[/tex]

Answer:

a= right b= obtuse c=acute d=right

Step-by-step explanation:

Answer:

Step-by-step explanation:

A) Right Angle. A right angle is an angle whose measure is exactly 90°.

B) Obtuse Angle. An obtuse angle is an angle that lies between 90° and 180°

C) Acute Angle. An acute angle is an angle that lies between 0° and 90°

D) Right Angle. A right angle is an angle whose measure is exactly 90°.

Answer:

C = 81.69 ft

Step-by-step explanation:

Given the following data;

Diameter = 26 ft

To find the circumference of a circle;

Mathematically, the circumference of a circle is given by the formula;

Circumference of circle, C = πd

Where;

d represents the diameter of the circle.

Substituting into the formula, we have;

C = 3.142 * 26

C = 81.69 ft

Answer:

The answer correct d

24 (1.2.3.4.6.8.24) 52 (1.2.3.4.52)

24+52=76

Answer:

18

Step-by-step explanation:

Usually in math problems, the word "of" means to multiply. So this question would be 45% times 40. It would be easier to calculate this by turning 45% into a fraction, which is 45/100. Then, we solve.

45/100 times 40

40(45)/100

1800/100

=18

Answer:

Around 9 percent interest

Step-by-step explanation:

Took me a while but its exactly 9.0111 with a little extra decimal numbers too. Big moneys

Answer:

the graph one is G and the second one is C hope this helps

Answer:

B. 68°

Step-by-step explanation:

The interior angles of the right triangle from the figure given are:

<1, right angle (90°), and (180° - 158°)

m<1 + 90° + (180° - 158°) = 180° (sum of triangle)

m<1 + 90° + 22° = 180°

m<1 + 112° = 180°

m<1 + 112° - 112° = 180° - 112°

m<1 = 68°

Answer: 68

Step-by-step explanation:

multiple choice test no explanation needed good luck

Answer:

280 is the correct answer

Step-by-step explanation:

5 x 8 = 40

40 / 2 = 20

20 x 14 = 280

Answer: See explanation

Step-by-step explanation:

a. What was her piece work pay?

Anne's piecework pay = 12 cents per unit produced

Number of units produced = 755

Anne's Piecework pay = $0.12 × 755 = $90.60

b. What was her total hourly pay for the week?

Anne's hourly pay = $8 pee hour

Number of hours worked = 38

Total hourly pay = 38 × $8 = $304

c. What was her total pay for the week?

This will be:

= $90.60 + $304

= $394.60

Answer:

#13 76° (because it is corresponding and vertical to ∠UYV)

#14 40° (because it is corresponding and vertical to ∠TYV)

#15 64° (because it is corresponding and vertical to ∠SYT)

#16 116° (because ∠SYX and ∠XYW added together form the angle)

#17 220° (because ∠TYU, ∠UYV, ∠VYW, and∠XYW add together to form the angle)

#18 104° (because ∠VYW and ∠XYW added together form the angle)

Hope this helps :)

Answer:

The [tex]p-[/tex] value is [tex]0.2996[/tex].

Step-by-step explanation:

This is a right-tailed test.

The null and alternative hypothesis is

[tex]H_0:p=0.60\\H_a:p>0.60[/tex]

Point estimate [tex]=[/tex] sample proportion[tex]=\hat{P}=x/n=0.630[/tex]

Test statistics

[tex]$z=\left(\hat{p}-p_{0}\right) / \sqrt{p}_{0^{*}}\left(1-p_{0)} / n\right.$\\$=(0.630-0.60) / \sqrt{(0.60 * 0.40) / 73}$\\$=0.526$\\P-value $=P(Z>z)$\\$=0.2996$\\The $\mathrm{P}$ -value is $0.2996$[/tex]

Answer:

60  36   24

Step-by-step explanation:

5             3            2

25x +9x + 4x =   5472

38x  = 5472

x =  144

25(144) = 3,600         9(144) = 1,296           4(144) = 576

  60²  = 3,600                   36²= 1,296               24² = 576

3,600 + 1,296+576 =  5,472

Answer:

C = 25

a = 10.72

b = 11.83

Step-by-step explanation:

The easiest thing to solve for right now is C- all angles in a triangle add up to 180 degrees. So we can subtract 65 and 90 from 180 to get the measure of angle C, 25 degrees.

Then we can use trigonometric functions: SOH CAH TOA

sinC = opposite / hypotenuse

sin25 = 5 /hyp

5/sin25 = hyp

hyp (aka b) = 11.83

cosC = adjacent / hypotenus

cos25 = a/11.83

11.83*cos25 = a

a = 10.72

C = 25

a = 10.72

b = 11.83

Answer:

40 rows

Step-by-step explanation:

Divide 1000 by 25, and you get 40.

Answer:

40

Step-by-step explanation:

We need 40 rows because 1000/25 = 40, therefore we need 40 rows.

Answer:

Step-by-step explanation:

The figure shown is represented as a right triangle, which means that the sum of the angles within should add up to 90°. So if we take 32° (one of the angles given) and subtract it from 90°, we should be left with 58°.

This means that the value of the equation that contains "x" must equal 58°. Therefore, (6 x 9 + 4)° must equal 58.° Which means that the value of x = 9.

Answer:

6

Step-by-step explanation:

First subtract 10 from 100 and get 90. Then divide 90 by 15 and you'll get 6. Therefore, Ms. Hernandez can bring 6 people including herself.