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Answer:

[tex]\boxed {\boxed {\sf x \approx 105.3}}[/tex]

Step-by-step explanation:

To solve for x, remember the right triangle trigonometry ratios (soh-cah-toa).

If we look at the angle given (θ), then we see that 36 is adjacent or next to the 70° angle. x is the hypotenuse because it is opposite the right angle. So, we have to use cosine (adjacent and hypotenuse).

[tex]cos (\theta)=\frac {adjacent}{hypotenuse}[/tex]

[tex]cos(70)=\frac{36}{x}[/tex]

Cross multiply. (Multiply the first numerator by the second denominator. Then, multiply the first denominator by the second numerator).

[tex]\frac{cos(70)}{1}=\frac{36}{x}[/tex]

[tex]cos(70)*x= 36[/tex]

Since we want to solve for x, we must isolate the variable. Divide both sides by the cosine of 70.

[tex]\frac{cos(70)*x}{cos(70)}=\frac{ 36}{cos(70)}\\x= 105.2569584[/tex]

Round to the nearest tenth. The 5 in the hundredth place tells us to round the 2 to a 3.

[tex]x \approx 105.3[/tex]

x is about 105.3

Answer:

Final answer

(4X+1)(4X-3)

Answer:

Emigrate means to leave one's country to live in another. Immigrate is to come into another country to live permanently. Migrate is to move, like birds in the winter. The choice between emigrate, immigrate, and migrate depends on the sentence's point of view.

Answer:

0?

Step-by-step explanation:

i think?

Answer:

8.1 inches

Step-by-step explanation:

Area of a triangle = ½ × base × height = Area

Rearranged =

[tex] \frac{area}{ \frac{1}{2} \times height} [/tex]

Base is the length by the way.

[tex] \frac{8.91}{ \frac{1}{2} \times 2.2 } [/tex]

=8.1 inches

Answer:

Then answer is 8.1 inches ;)

Answer:

[tex] x \geq -21[/tex]

Step-by-step explanation:

Let the number be x.

Translating the word problem into an algebraic equation, we have;

[tex] 5(x + 27) \geq 6(x + 26) [/tex]

Opening the bracket, we have;

[tex] 5x + 135 \geq 6x + 156 [/tex]

Collecting like terms, we have;

[tex] 6x - 5x \geq 135 - 156 [/tex]

[tex] x \geq -21[/tex]

Answer:

B (-∞, -21]

Step-by-step explanation:

edge

Answer:

14π

Step-by-step explanation:

C = 2πr

D=2r

D=14

14=2r

r=7

C=2π(7)

C=14π or 43.98

Answer:

Step-by-step explanation:

x=1/2=2/4

y=5/4

y=2.5x

10/2.5=4

so x=4

Answer:

30

Step-by-step explanation:

200*0.15=30

Answer:

$30

Step-by-step explanation:

"15% off" is found by multiplying the original price ($200) by 0.15, which was the discount amount.  That'd be $30.  This corresponds to the third answer choice.

Answer:

x=8. You plug 8 in for x.

7+12(8)=103

7+96=103

Step-by-step explanation:

7+12x=103

or 12x=103-7

x=96/12=8

to check it 8 is needed.

7+12×8=103

Answer: the link you posted is the area of the shape

Step-by-step explanation:

Answer: true

Step-by-step explanation: they are all equivalent

Answer:

False

Step-by-step explanation:

Answer:

-5 +7x equal 12x

Step-by-step explanation:

add and complete

The x-intercepts of the function f(x) are:

Left x-intercept: (-3, 0)

Right x-intercept: (7, 0)

Given is a function, f(x) = -2(x + 3)(x - 7).

We need to find the x-intercept of the function,

To find the x-intercepts of the function f(x), we set f(x) equal to zero and solve for x:

-2(x + 3)(x - 7) = 0

Now, we can use the zero product property, which states that if a product of factors is equal to zero, then at least one of the factors must be zero.

So, we have two cases to consider:

Case 1: x + 3 = 0

Solving this equation, we subtract 3 from both sides:

x = -3

Case 2: x - 7 = 0

Solving this equation, we add 7 to both sides:

x = 7

Therefore, the x-intercepts of the function f(x) are -3 and 7.

Writing them as ordered pairs, we have:

Left x-intercept: (-3, 0)

Right x-intercept: (7, 0)

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Answer:

asa

Step-by-step explanation:

The correct answer is neither

Answer: It will be 50

Step-by-step explanation:

Answer:

The ball height is 11 meters at t = 0.59 seconds and t = 3.41 seconds.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

The height of the ball after t seconds is given by:

[tex]h(t) = 1 + 20t - 5t^2[/tex]

Find all values of t for which the ball's height is 11 meters.

This is t for which [tex]h(t) = 11[/tex]. So

[tex]h(t) = 1 + 20t - 5t^2[/tex]

[tex]11 = 1 + 20t - 5t^2[/tex]

[tex]5t^2 - 20t + 10 = 0[/tex]

Simplifying by 5

[tex]t^2 - 4t + 2 = 0[/tex]

Which means that [tex]a = 1, b = -4, c = 2[/tex]

[tex]\Delta = (-4)^2 - 4(1)(2) = 8[/tex]

[tex]t_{1} = \frac{-(-4) + \sqrt{8}}{2} = 3.41[/tex]

[tex]t_{2} = \frac{-(-4) - \sqrt{8}}{2} = 0.59[/tex]

The ball height is 11 meters at t = 0.59 seconds and t = 3.41 seconds.

Answer:

why

Step-by-step explanation:

your image is blocked

Answer:

C

Step-by-step explanation:

Answer:

40+8X=50+23X

8X-23X=50-140

-15X=-90

X=-90/-15

X=7 TRIPS IS THE ANSWER.

PROOF:

140+8*6=50+23*6

140+48=50+138

188=188

Answer:

The TI-84 Plus Silver Edition is powered by four AAA alkaline batteries (not included) , with an automatic shutoff to save energy.

Step-by-step explanation:

Answer:

(-5 1 0 0) and (-3 0 1 0)

Step-by-step explanation:

Based on my memory,  you can use the dot product to find orthogonality meaning

u1 . u2 = 0

In this case, we let u be the arbitrary vector represented by (x y z w)

u . (1 5 3 0) can be expressed as an equation given by:

{(x y z w) | x + 5y + 3z  + 0w= 0}

We solve this equation letting y = s and z = t and x = -5s -3t

Reconstruct this according to their variable will give

(-5 1 0 0)s + (-3 0 1 0)t = 0

So the basis vectors are (-5 1 0 0) and (-3 0 1 0).

Let c1 and c2 be arbitrary constants:

if you solve for c1(-5 1 0 0) + c2(-3 0 1 0) = 0

c1 and c2 should have only trivial solution, which proves its

linear independence and so it forms a basis vector space.

Answer:

A

Step-by-step explanation:

njsusnhshbwhjkahbkans

Answer:

D is your answer

Step-by-step explanation:

Just did it and it was right : )

Also for anyone else who needs the other answers they are as follows:

1. D. [tex]6x^4[/tex]  then  C. [tex]3x^4[/tex]

2. B. [tex]-30x^2 \sqrt{2x}[/tex]  then  C. [tex]4x^4^3 \sqrt{2x^2}[/tex]

3. D. [tex]2x\sqrt{10x} - 2x \sqrt{5}[/tex]

4. B. [tex]32x^2 \sqrt[3]{2x} -8x^3[/tex]

5. A. [tex]-22[/tex]  then  C. [tex]4x^4 \sqrt{5} +2x^2 \sqrt{3x} + 4x^3 \sqrt{30} +6x \sqrt{2x}[/tex]

6. B. [tex]x^\frac{2}{12}* y^\frac{9}{12}[/tex]  then  C. [tex]\sqrt[12]{x^2*y^9}[/tex]

NC Math 2 -22092x0

Multiplying Radicals

Assignment

Due March 11

Multiplying radicals with like indices.

The solution of the given equation will be 2√5x(√2-1).

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The expression will be solved as below:-

= √5x ( √8x² - 2√x)

= √5x ( 2√2x - 2√x)

= √5x(√2-1)(2√x)

= 2√5x(√2-1).

Therefore the solution of the given equation will be 2√5x(√2-1).

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Answer:

30

Step-by-step explanation:

b×h

6×5=30

gggffcguhh

Answer:

504 un²

Step-by-step explanation:

7 × 6 × 12 = 504

504 un²

Volume is not BH but rather LBH

So LBH = 7 * 12 * 6

Volume = 504cm³