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Karolina [17]
3 years ago
12

CAN SOMEONE HELP ME WITH THIS A 20-foot ladder is leaning against a wall of a house. It is set 16 feet from the base of the wall

. How far up the wall does the ladder reach? Round your answer to
the nearest tenth of a foot.
how many feet ——-
Mathematics
2 answers:
MatroZZZ [7]3 years ago
6 0

We're given the hypotenuse and one side and we're looking for the missing side so use pythagorean.

20² - 16² = 144²

Square root of 144 = 12 feet

s344n2d4d5 [400]3 years ago
5 0

\huge \purple{\tt{Answer:}}

(AB)^2 = (AC)^2 - (BC)^2 \\\\\ \implies (AB)^2 = (20)^2 - (16)^2 \\\\\ \implies AB^2 = 400-256 \\\\\ \implies AB^2 = 144 \\\\\ AB = {\sqrt{144}} \\\\\ \implies AB=12 ~feet

The picture will help you understand better .

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Hi, teacher I was absent these days and I didn’t understand anything about this lesson and I need help this is not count as a te
motikmotik

Given:

There are given that the cos function:

cos210^{\circ}=-\frac{\sqrt{3}}{2}

Explanation:

To find the value, first, we need to use the half-angle formula:

So,

From the half-angle formula:

cos(\frac{\theta}{2})=\pm\sqrt{\frac{1+cos\theta}{2}}

Then,

Since 105 degrees is the 2nd quadrant so cosine is negative

Then,

By the formula:

\begin{gathered} cos(105^{\circ})=cos(\frac{210^{\circ}}{2}) \\ =-\sqrt{\frac{1+cos(210)}{2}} \end{gathered}

Then,

Put the value of cos210 degrees into the above function:

So,

\begin{gathered} cos(105^{\circ})=-\sqrt{\frac{1+cos(210)}{2}} \\ cos(105^{\operatorname{\circ}})=-\sqrt{\frac{1-\frac{\sqrt{3}}{2}}{2}} \\ cos(105^{\circ})=-\sqrt{\frac{2-\sqrt{3}}{4}} \\ cos(105^{\circ})=-\frac{\sqrt{2-\sqrt{3}}}{2} \end{gathered}

Final answer:

Hence, the value of the cos(105) is shown below:

cos(105^{\operatorname{\circ}})=-\frac{\sqrt{2-\sqrt{3}}}{2}

4 0
1 year ago
WILL MARK BRAINLIST!!! PLS HELP QUICK!!
Alborosie

Answer:

12.

Square root = 37,

Step-by-step explanation:

40^2 = 1600

35^2 = 30 * 40 + 25 = 1225

So the requred square is between 35 and 40

38^2 = 1444

37^2 = 1369 - so its this one.

Required difference = 1381 - 1369 = 12.

8 0
1 year ago
The area of the trapezoid
ELEN [110]

Answer:

<h2>A = 82.5 in²</h2>

Step-by-step explanation:

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

b₁, b₂ - bases

h - height

We have b₁ = 10in, b₂ = 5in and h = 11in. Substitute:

A=\dfrac{10+5}{2}\cdot11=\dfrac{15}{2}\cdot11=7.5\cdot11=82.5\ in^2

7 0
3 years ago
Read 2 more answers
Chin canned a number of quart jars and a number of pint jars of tomatoes from his garden. A pint is 16 ounces and a quart is 32
saveliy_v [14]
<span><span>Chin canned a number of quart jars and a number of pint jars of tomato. She canned total of 40 quarts, now what equation model did Chin used in the scenario 

let’s simplify the problem:
Pint = 16oz
quart = 32oz

what model best show to get 40quarts.
=> p + q = 40
=> 16p + 32q = 40

 the equation model that Chin used to get 40 quarts is p + q.</span></span><span> </span>
6 0
3 years ago
if you are 15 years old now, which equation could be used to solve for your age, y, 12 years from now ?
Vaselesa [24]

Answer:

Hi there!

If you are 15 right now, you would use the expression: 15+12=y

3 0
3 years ago
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