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2 years ago

What value of x makes the in quantity 1/2 x greater than or less than 7 true

Mathematics

1 answer:

koban [17]2 years ago

4 0

The answer is 666 because I’m good at math

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(20 pts!) if the base of the roof has length 40 feet and x=30, which of the following gives the height of the roof?

musickatia [10]

Answer:

23.094 ft approximately

(If you want your answer in a different format, let me know please.)

Step-by-step explanation:

I would have solve this using tangent since the side opposite to x is asked for and the adjacent side to side is given as having a measurement of 40 ft.

But I think they want you to use the formula:

$l=\frac{b}{\cos(x)}$ .

$l=\frac{40}{\cos(30)}$

Input into calculator:

$l=46.188$ (approximation)

l represents the length of the roof.

So we have l=46.188 and b=40.

We must use the Pythagorean Theorem to find the height,h, for of the roof.

l is the hypotenuse.

$h^2+40^2=46.188^2$

$h^2+1600=2133.331$

Subtract 1600 on both sides:

$h^2=533.331$

Take square root of both sides:

$h=23.094$

The answer is 23.094 feet for the height that roof reaches on the building.

I want to show you another way:

$\tan(x)=\frac{\text{opposite}}{\text{adjacent}}$

$\tan(30)=\frac{h}{40}$

Multiply both sides by 40:

$40\tan(30)=h$

Input into calculator:

$23.094=h$

I didn't do it this way because your problem suggested you use their formula to find the height.

8 0

3 years ago

Read 2 more answers

Sorry about the crack screen but can someone help me

KatRina [158]

Answer:

$area = 3 \times 3 \times \pi = 9\pi$

3 0

2 years ago

Solve the following system of equations. -7x +4y = 10 -5x +3y = 8 x= y=

Virty [35]

Answer:x=2

y=6

Step-by-step explanation:

-7*x+4*y=10

║minus

-5*x+3*y=8

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

-2*x+y=2

y=2+2*x

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

-5*x+3*(2+2*x)=8

-5*x+6+6x=8

x=8-6

x=2

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

-7*2+4*y=10

4*y=10+14

4*y=24

y=24/4

y=6

4 0

3 years ago

If the 5th term of a geometric progression is 162 and the 8th term is 4374, find the (i) 1st three terms of the sequence; (ii) s

Alona [7]

Answer:

see explanation

Step-by-step explanation:

The nth term of a geometric progression is

$a_{n}$ = a₁ $r^{n-1}$

where a₁ is the first term and r the common ratio

Given a₅ = 162 and a₈ = 4374 , then

a₁ $r^{4}$ = 162 → (1)

a₁ $r^{7}$ = 4374 → (2)

Divide (2) by (1)

$\frac{a_{1}r^{7} }{a_{1}r^{4} }$ = $\frac{4374}{162}$

r³ = 27

r = $\sqrt[3]{27}$ = 3

Substitute r = 3 into (1) and solve for a₁

a₁ $(3)^{4}$ = 162

81a₁ = 162

a₁ = $\frac{162}{81}$ = 2

Then

a₂ = a₁ × 3 = 2 × 3 = 6

a₃ = a₂ × 3 = 6 × 3 = 18

The first 3 terms are 2, 6, 18

(ii)

The sum to n terms of a geometric progression is

$S_{n}$ = $\frac{a_{1}(r^{n}-1) }{r-1}$ , then

$S_{10}$ = $\frac{2(3^{10}-1) }{3-1}$

= $\frac{2(59049-1)}{2}$

= 59049 - 1

= 59048

6 0

2 years ago

Name 3 equivalent fractions to 25%

alukav5142 [94]

Three equivalent fractions would be 1/4 2/8 4/16

3 0

3 years ago