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2 years ago

Look at the image and answer the question

Mathematics

1 answer:

BabaBlast [244]2 years ago

4 0

Answer:

e. 1 / 16

f . 1 / 9

Step-by-step explanation:

( 1 / 2 )^4

= 1 / 2^4

= 1 / 16

( 1 / 3 )^2

= 1 / 3^2

= 1 / 9

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A 12-meter ladder leans against a building forming a 30° angle with the building.

KatRina [158]

Answer:

will show you two (2) ways to solve this problem.

A diagram is needed to see what is going on....

Without loss of generality (WLOG)

The wall is on the right. The ladder leans against the wall

with a POSITIVE slope, from SW to NE (quadrant 3 to quadrant 1).

The measure from the bottom of the ladder to the wall is 6.

Option 1:

The ladder, ground and wall form a right triangle.

The hypotenuse (ladder) is 14 feet.

The bottom of the ladder is 6 feet from the wall,

so the base of this right triangle is 6 feet.

The top of the ladder to the ground represents

the missing leg of the right triangle.

The pythagorean theorem applies, which says

6^2 + h^2 = 14^2 where h is the height

of the top of the ladder to the ground

36 + h^2 = 196

h^2 = 196 - 36

h^2 = 160

h = sqrt(160)

= sqrt(16 * 10)

= sqrt(16)* sqrt(10)

= 4*sqrt(10) <--- exact answer

= 4 * 3.16227766016838....

= 12.64911....

12.65 <--- rounded to 2 digits as directed

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

Option #2: using trig

With respect to the angle formed by the bottom of the

ladder with the ground

cos T = 6/14 = 3/7

T = inverse-cosine(3/7) = 64.623006647 degrees

sin(64.623006647) = h/14

h = 14*sin(64.62300647) = 12.6491106 <--- same answer

hope this helps

Step-by-step explanation:

5 0

2 years ago

Janice and her dad are building a treehouse. Her dad bought a box of 155 nails for $3.10 and a box of 85 screws for $7.65. How m

Degger [83]

3.10/155= 0.02 } subtract = 0.07 more
7.65/85= 0.09 }

7 0

3 years ago

Read 2 more answers

Kacie has a bag of

MAVERICK [17]

Answer: .

Step-by-step explanation:

4 0

3 years ago

In quadrilateral ABCD, AD ∥ BC. Quadrilateral A B C D is shown. Sides A D and B C are parallel. The length of A D is 3 x + 7 and

oksian1 [2.3K]

Answer:

31 units

Step-by-step explanation:

When the figure is a parallelogram, opposite sides have the same measure:

AD = BC

3x +7 = 5x -9 . . . . . . substitute given expressions

16 = 2x . . . . . . . . . . . add 9-3x

8 = x . . . . . . . . . . . . . divide by 2

Use this value of x in the expression for AD to find its required length:

AD = 3(8) +7 = 24 +7

AD = 31 . . . . units

The length of segment AD must be 31 units for ABCD to be a parallelogram.

8 0

3 years ago

Read 2 more answers

What is the rational expression in simplest form? State any restrictions on the variables.

allochka39001 [22]

According to the question, the given rational expression can be simplified which is as shown below:

Rational expression = $\frac{12-4x}{x^{2} -9}=\frac{4(3-x)}{(x-3)(x+3)}$

For the simplification of the given expression, calculate the factors of the numerator as well as denominator terms and divide them from each other. In this change the sign of the expression before dividing with each other.

Rational expression = $\frac{-4}{(x+3)}$

The rational expression are also known as polynomial expression. The highest degree of these expression is two. And these expression uses concept of factor rule.

Therefore, the final expression is $\frac{-4}{(x+3)}$

What is polynomial expression?

Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.

To learn more about the polynomial expression from the given link:

<u>brainly.com/question/1280754</u>

#SPJ4

4 0

1 year ago