Find the area of the figure.

Answer:

x ≈ 8.1 units

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan72° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{25}{x}[/tex] ( multiply both sides by x )

x × tan72° = 25 ( divide both sides by tan72° )

x = [tex]\frac{25}{tan72}[/tex] ≈ 8.1 ( to the nearest tenth )

Answer:

m = -1, b = 5.

Step-by-step explanation:

We can find the slope, m, by plugging in our coordinates into the slope formula: [tex]\frac{y2-y1}{x2-x1} =\frac{2-7}{3-(-2)}=\frac{-5}{5}=-\frac{5}{5}=-\frac{1}{1}=-1[/tex]. That gives us the slope. Now we can fill that in the slope intercept formula: [tex]y=-1x+b[/tex]. We know one of the coordinates and the slope, which allows to find the y-intercept. We know that for every 1 unit down on the line, we move 1 unit right, and vice versa. Meaning we can just count down (or up in this case), so, (-2, 7), (-1, 6), (0, 5). Therefore, our y intercept is 5.

Answer:

6.5

Step-by-step explanation:

Answer:

6.5 centimeters (proof below!)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

D starts low on both sides but is highest in the middle

Answer:

The description of Margot as a frail girl who had lost her vibrancy shows that she was in eager anticipation of the rain.

Step-by-step explanation:

The short story, "All Summer in a Day", tells of how a girl named Margot always stood differently from her classmates because she eagerly anticipated a time when the sun will come out as the scientists projected. It had been raining in this planet, Venus for seven years non-stop.

Margot who came from planet earth some five years ago could still clearly recall how the sun looked like and despite her description of it, the children still doubted her. On the day the sun finally came, the children locked Margot in a closet and she was unable to see the sun.

Answer:

the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%

Step-by-step explanation:

The computation of the probability is shown below":

P(x>15.9) is

[tex]= P (\frac{x - \mu}{\sigma} > \frac{15.9 - 18}{2.1} )\\\\= P (z>-1)\\\\= 0.8413\\\\= 84.13\%[/tex]

Hence, the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%

We simply applied the above formula

Answer:

the probability that a randomly selected adult King Cobra snake be over 15.9 feet long which is 84.13%

Step-by-Step Explanation:

P(X 15.9). Solve for the z-score and then match it with the probability from the area under the normal curve table. Once that is found, take the complement or use symmetry to solve

Note:

Hope this helps you in the future.

Learn More:

https://brainly.com/question/6305087?referrer=searchResults

Answer:

[tex] \huge \boxed{ \red{ \boxed{\begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} }}}[/tex]

Step-by-step explanation:

distribute tan(θ):

=>tan²(θ)-(tan(θ)+√3tan(θ))+√3=0

remove parentheses:

=>tan²(θ)-tan(θ)-√3tan(θ)+√3=0

so this equation is now in standard form i.e ax²+bx+c=0

we can solve by factoring as we solve quadratic equation

factor out tanθ:

=>tan(θ)(tan(θ)-1)-√3tan(θ)+√3=0

factor out -√3:

=>tan(θ)(tan(θ)-1)-√3(tan(θ)-1)=0

group:

=>(tan(θ)-√3)(tan(θ)-1)=0

separate it as two different equation:

[tex] \implies \begin{cases} \tan( \theta) - 1 = 0 \\ \tan( \theta) - \sqrt{3} = 0 \end{cases}[/tex]

add 1 and √3 to both sides to first and second equation respectively:

[tex] \implies \begin{cases} \tan( \theta) - 1 + 1 = 0 + 1 \\ \tan( \theta) - \sqrt{3} + \sqrt{3} = 0 + \sqrt{3} \end{cases} [/tex]

[tex] \implies \begin{cases} \tan( \theta) = 1 \\ \tan( \theta) = \sqrt{3} \end{cases} [/tex]

[tex] \therefore \begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} [/tex]

Answer:

Sorry, I can't complete this without knowing the radius, or diameter.

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

TQR = 180 - (35+25) = 120

TQP= 180-120=60

TNP=TQP =60

MNT= 180-60=120

Answer:

B

Step-by-step explanation:

C = πd = 3.14 * 32 = 100.48in

Answer:

$80

Step-by-step explanation:

10x + 30 = y

He wants to rent it for 5 hours, so we replace x with 5.

10(5) + 30 = 80

He should expect to pay $80 for the rental.

Answer:

0,-1

Step-by-step explanation:

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Answer: 27528 ft^3

Explanation:

24 x 31 x 37 = 27528

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

-5

Step-by-step explanation:

1*1=1

1-6= -5

Hope this helped!

Answer:

Step-by-step explanation:

ABCD is a cyclic quadrilateral

It has the property that opposite angles are supplementary: A with C and B with D.

Solve following for x:

The angles are:

Answer:

What do the x-intercepts and maximum value of the graph represent? The x-intercepts represent the points at the ground, so with that you have the width of the tunnel at ground level is 120 ft - 0 ft = 120

Step-by-step explanation:

Equations:

[tex]x+6=5+x[/tex]

[tex]-2(x-3)=-2x+6[/tex]

[tex]4-4x=3x+2[/tex]

[tex]4(x+1)=3(x+2)[/tex]

[tex]5-3x=-3x+4[/tex]

Answer:

[tex]x+6=5+x[/tex]

[tex]5-3x=-3x+4[/tex]

Step-by-step explanation:

Given

[tex]x+6=5+x[/tex]

[tex]-2(x-3)=-2x+6[/tex]

[tex]4-4x=3x+2[/tex]

[tex]4(x+1)=3(x+2)[/tex]

[tex]5-3x=-3x+4[/tex]

Required:

Which have no solution

[tex]x+6=5+x[/tex]

Subtract x from both sides

[tex]x -x+6 = 5 + x - x[/tex]

[tex]6 = 5[/tex]

[tex]x+6=5+x[/tex] has no solution because [tex]6 \ne 5[/tex]

[tex]-2(x-3)=-2x+6[/tex]

Open bracket

[tex]-2x + 6 = -2x + 6[/tex]

Both sides are equal.

Hence, there is an [tex]Infinite\ Number[/tex] of Solutions

[tex]4-4x=3x+2[/tex]

Collect like terms

[tex]-3x - 4x = 2 - 4[/tex]

[tex]-7x = -2[/tex]

Solve for x

[tex]x = \frac{-2}{-7}[/tex]

[tex]x = \frac{2}{7}[/tex] --- This has a solution

[tex]4(x+1)=3(x+2)[/tex]

Open brackets

[tex]4x + 4 = 3x + 6[/tex]

Collect like terms

[tex]4x-3x = 6 - 4[/tex]

[tex]x = 2[/tex] --- This has a solution

[tex]5-3x=-3x+4[/tex]

Add 3x to both sides

[tex]5 - 3x + 3x = -3x + 3x + 4[/tex]

[tex]5 = 4[/tex]

[tex]5-3x=-3x+4[/tex] has no solution because [tex]5 \ne 4[/tex]

Answer:

Usually it means to solve it. Sometimes they give you values to substitute in for variables (letters) in the math sentence/equation/expression.

Does that make sense?

Step-by-step explanation:

Answer: 34

Hope this helps :)

Answer:

true

Step-by-step explanation:

Answer:

C. 262 cm

Step-by-step explanation:

Use the formula for the volume of a sphere, V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex]r³

Since the diameter is 10 cm, the radius will be 5 cm

Plug in the radius into the formula:

V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](5³)

V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](125)

V = 523.6

Since the bowl is a hemisphere, divide this by 2:

523.6/2

= 261.8

Rounding to the nearest cm, the volume of the bowl is 262 cubic cm.

So, the correct answer is C. 262 cm

Answer:

y=4

Step-by-step explanation:

3(9) +4y= 43

27+4y=43

4y=16

y=4

Answer: pls help with the answer this is hard

Step-by-step explanation: i really need help!!!

Given:

The vertices of a right triangle are:

[tex](-3,4),(3,4),(3,-4)[/tex]

To find:

The length of the hypotenuse of the given right triangle.

Solution:

Let the vertices of the right triangle are [tex]A(-3,4),B(3,4),C(3,-4)[/tex].

The distance formula is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, we get

[tex]AB=\sqrt{(3-(-3))^2+(4-4)^2}[/tex]

[tex]AB=\sqrt{(3+3)^2+(0)^2}[/tex]

[tex]AB=\sqrt{(6)^2+0}[/tex]

[tex]AB=\sqrt{36}[/tex]

[tex]AB=6[/tex]

Similarly,

[tex]BC=\sqrt{(3-3)^2+(-4-4)^2}[/tex]

[tex]BC=\sqrt{(0)^2+(-8)^2}[/tex]

[tex]BC=\sqrt{64}[/tex]

[tex]BC=8[/tex]

And,

[tex]AC=\sqrt{(3-(-3))^2+(-4-4)^2}[/tex]

[tex]AC=\sqrt{(6)^2+(-8)^2}[/tex]

[tex]AC=\sqrt{36+64}[/tex]

[tex]AC=\sqrt{100}[/tex]

[tex]AC=10[/tex]

Now, taking sum of squares of two smaller sides, we get

[tex]AB^2+BC^2=6^2+8^2[/tex]

[tex]AB^2+BC^2=36+64[/tex]

[tex]AB^2+BC^2=100[/tex]

[tex]AB^2+BC^2=AC^2[/tex]

By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.

Therefore, the length of the hypotenuse is 10 units.

Answer:

a/8 = b/15

Step-by-step explanation:

a/b = 8/15  -- divide both side by 8 and multiple both side by b

a/8 = b/15

Answer:

B

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{3}{c}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

c = 3[tex]\sqrt{2}[/tex]