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3 years ago

How tall is a building that casts a 74-ft shadow when the angle of elevation of the sun is 36°?

Mathematics

1 answer:

inna [77]3 years ago

4 0

Answer:

101.85ft

Step-by-step explanation:

We can use tan here

$tan\theta=\frac{opp}{adj}\\adj = \frac{opp}{tan \theta} \\adj = \frac{74}{tan(36)} = 101.85$

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Joanna is making a recipe that uses 1 1/2 teaspoon of salt for every 2 cups of sugar. If Joanna increases the recipe to use 5 of

GrogVix [38]

Answer: B. 3 3/4

Step-by-step explanation:

From the question, we are told that Joanna is making a recipe that uses 1 1/2 teaspoon of salt for every 2 cups of sugar. Since, uses 1 1/2 teaspoon of salt for every 2 cups of sugar, 1 cup of sugar will use 1/2 of 1 1/2 teaspoon of salt. This will be:

= 1/2 × 1 1/2

= 1/2 × 3/2

= 3/4 teaspoon of salt.

We then multiply the value used for a cup of sugar by 5 since Joanna increases the recipe to use 5 cups of sugar. This will be:

= 3/4 × 5

= 15/4

= 3 3/4

8 0

3 years ago

Help me please!!!! I need help nowww

bekas [8.4K]

3,400 is the answer

5 0

3 years ago

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The absolute minimum of <img src="https://tex.z-dn.net/?f=f%28x%2Cy%29%20%3D%20x%5E%7B2%7D%20%2B%204y%5E%7B2%7D%20-4y" id="TexFo

Dmitriy789 [7]

On the line segment $x=2$ , $f$ depends only on $y$ :

$f(2,y) = g(y) = 4y^2 - 4y - 4$

Find the critical points of $g$ .

$\dfrac{dg}{dy} = 8y - 4 = 0 \implies y = \dfrac12$

At this critical point, we have

$g\left(\dfrac12\right) = f\left(2,\dfrac12\right) = 3$

Check the value of $f$ at the endpoints of the line segment.

$f\left(2,0\right) = 4$

$f\left(2,2\right) = 12$

So we have

$\min\left\{f(x,y) \mid x=2 \text{ and } 0 \le y \le 2\right\} = \boxed{3} \text{ at } (x,y) = \left(2,\dfrac12\right)$

7 0

1 year ago

Some one please help me on 8. Thank you.

balandron [24]

Let's say you had 12 campers with you so
Your tent 1
Then you need to divide the campers into 3s so 4 groups of 3
1 tent for each group of 3
So take C divid it by 3 plus you're 1 tent
C = number of campers

Hope this helps

6 0

3 years ago

The base of a square prism has an area of 16 in. The

Inessa05 [86]

Surface Area of square prism = 896 inches^2

Step-by-step explanation:

Base of a square prism has an area = 16 in

Height of prism = 6 in

Surface Area of square prism = ?

The formula used to calculate the Surface Area of square prism is:

$Surface\,\,Area=2a^2+4ah$

where a is base area and h is height.

Putting Values to find Surface area:

$Surface\,\,Area=2a^2+4ah\\Surface\,\,Area=2(16)^2+4(16)(6)\\Surface\,\,Area=2(256)+4(96)\\Surface\,\,Area=512+384\\Surface\,\,Area=896$

So, Surface Area of square prism = 896 inches^2

Keywords: Surface Area of square prism

Learn more about Surface Area of square prism at:

#learnwithBrainly

7 0

3 years ago

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