What is the value of x, the side length of the smallest square (please show work) Thanks!

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:

The answer for this question is 49 cubic inches

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:

4.5 to 9.5

Step-by-step explanation:

Answer:

What do you want us to find???

Step-by-step explanation:

Answer:

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.

This means that [tex]n = 533, \pi = \frac{351}{533} = 0.6585[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 - 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6247[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 + 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6923[/tex]

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

Answer:

I am not sure, but I think you would check for the side with the longest length(hypothenuse) and check if the formula of a^2+b^2=c^2(side with the longest length) satisfies it.

Answer:

32 minutes or .5333 of an hour

Step-by-step explanation:

Answer:

380

Step-by-step explanation:

multiply  20 x 19

Answer:

3/7

Step-by-step explanation:

You want to seperate the numbers from the variable.

Answer:

4 ssquare units

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

12,24,36,48,60,72...

12 is the smallest common multiple so LCM of 4,6 and 12 is 12

Answer:

3 tenths

Step-by-step explanation:

Answer:

(-5,-10)

it is in quadrant 3 (quadrant III)

Step-by-step explanation:

Mark as Brainliest

Answer:

(-5,-10) In Quadrant III

Step-by-step explanation:

When reflecting a point accross the x-axis, the y-coordinate of the point changes signs

Ex. Positive to Negative and vice versa

Therefore, (-5,10) reflected accross the x-axis becomes (-5,-10)

Since both x and y coordinates are negative, the point falls in the third quadrant, or Quadrant III

Answer:

468

Step-by-step explanation:

Answer:

468

Step-by-step explanation:

First, we want to break this up into separate pieces, there will be 3 rectangles and 1 square.

each rectangle has a height of 6 and a width of 24. so the area of each rectangle would be 6*24 or 144, then we multiply that by 3 because there are 3 rectangles, when we multiply 144*3 we will get 432.

Now we must solve for the area of the square, on each side, it is 6 cm so we multiply 6*6 so we get 36, that's all we need to do for that now.

to get our final answer we add both answers together so, 432+36 then our final answer is 468 cm

Answer:

i got g

Step-by-step explanation:

Answer:

Step-by-step explanation:

G and h

Answer:

y=-3x-2

Step-by-step explanation:

Answer:

-53/12

Step-by-step explanation:

Answer:

Exact Form: -53/12

decimal form: -4.416

mixed number -4 5/12

Step-by-step explanation:

convert mixed numbers into improper fractions: -2 3/3 +(5 1/2)+ 8 3/4

convert mixed numbers into improper fractions: =11/2  =[tex]-\frac{23}{3}+\left(-\frac{11}{2}\right)+\frac{35}{4}[/tex] =

[tex]-\frac{23}{3}+\left-\frac{11}{2}\right+\frac{35}{4}[/tex][tex]=-\frac{92}{12}-\frac{66}{12}+\frac{105}{12}[/tex]

[tex]\frac{-92-66+105}{12}[/tex]

add/subtract the numbers: -92-66+105=-53

-53/12

apply the fraction rule: [tex]\frac{-a}{b} = -\frac{a}{b\\}[/tex]

[tex]=-\frac{53}{12}\\[/tex]

Answer:

1,280

Step-by-step explanation:

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:

let x=distance 105 mph train traveled

(456-x)=distance 85 mph train traveled

Travel time = distance/speed (equal in both directions)

x/105=(456-x)/85

85x=105*456-105x

190x=105*456

x=105*456/190=252 miles

travel time=252/105=2.4 hrs

ans:

The two trains will meet in 2.4 hrs

Step-by-step explanation:

there brainliest pls

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:

x = 148

Step-by-step explanation:

vertical angles are congruent

the angle with a measure of 148° and the angle labeled "x" are vertical angles.

Hence, x = 148

Answer:

x=148 because the opposite angles are equal

also, the rest of the smaller angles are both 32 degrees if you need them

you can check because 148+148+32+32=360

hope it helps:)

Answers:

cos(A) = 0.8480

tan(B) = 1.6

=============================================

Explanation:

Before we can compute cos(A), we'll need to find the hypotenuse.

Use the pythagorean theorem.

a^2 + b^2 = c^2

8^2 + 5^2 = c^2

89 = c^2

c^2 = 89

c = sqrt(89)

The hypotenuse is exactly sqrt(89) units long.

This will allow us to find the cos(A) value

cos(angle) = adjacent/hypotenuse

cos(A) = AC/AB

cos(A) = 8/sqrt(89)

cos(A) = 0.84799830400509 which is approximate

cos(A) = 0.8480 when rounding to four decimal places

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

For the tangent ratio, we won't use the hypotenuse. Instead, we use the opposite and adjacent sides like so:

tan(angle) = opposite/adjacent

tan(B) = AC/BC

tan(B) = 8/5

tan(B) = 1.6

Answer: 5

Step-by-step explanation: