4x²=9/16 Solve the equation and show your work.​

Answer:

Surface area = 2πrh + 2πr^2

= (2 × 22/7 × 5 ×5 + 2×22/7×25)cm^2

= (1100/7+1100/7)cm^2

= 2200/7 = 314.28571) cm^2 (ans)

Hope it helps

Answer:

100 pi

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ah...right triangle trig. Gotta love this stuff (you better, because it never goes away!). We need to remember SohCahToa which tells us that the sin of an angle is equal to the side opposite the angle over the hypotenuse; the cos of an angle is equal to the side adjacent to the angle over the hypotenuse; the tan of an angle is equal to the side opposite the angle over the side adjacent the angle. x is the side across from our given angle, while 7 is the side adjacent. That means that we will use the tangent ratio to solve.

[tex]tan\theta=\frac{opp}{adj}[/tex] and filling in:

[tex]tan48=\frac{x}{7}[/tex]. Solving for x:

7tan(48) = x. Do this on your calculator in DEGREE mode (NOT radians!) to get that x = 7.77 which rounds nicely to D: 7.8

Answer:

False.

Step-by-step explanation:

Answer:

The answer is D. 8/17

Step-by-step explanation:

We know, sin= opposite/hypotenuse

So as Θ is referring to Angle L

∴ sin Θ = 8/17

Answer: 4/15

Step-by-step explanation:

Probability of picking out a basketball card = 2/5

Probability of picking out a football card = 1/3

Therefore, the probability of picking out a soccer card will be:

= (1 - 2/5 - 1/3)

= (15/15 - 6/15 - 5/15)

= 4/15

Therefore, the probability that Justice will randomly pick out a soccer card is 4/15.

Given:

The diagram.

To find:

(a) [tex]m\angle SQT[/tex]

(b) [tex]m\angle QRW[/tex]

(c) [tex]m\angle PRV[/tex]

Solution:

(a)

If two lines intersect each other at a point, then the vertically opposite angles are equal.

[tex]m\angle SQT = m\angle PQR[/tex]          (Vertically opposite angles)

[tex]m\angle SQT = 36^\circ[/tex]

Therefore, the measure of angle SQT is 36 degrees.

(b)

If a transversal line intersect two parallel lines, then the alternate interior angles are equal.

[tex]m\angle QRW = m\angle PQR[/tex]       (Alternate interior angles)

[tex]m\angle QRW = 36^\circ[/tex]

Therefore, the measure of angle QRW is 36 degrees.

(c)

It is given that the angles PRV and angle PRQ are congruent.

Let the measures of angle PRV and angle PRQ are x degrees.

[tex]m\angle PRV+m\angle PRQ+m\angle PQR=180^\circ[/tex]      (Adjacent interior angles are supplementary)

[tex]x+x+36^\circ=180^\circ[/tex]

[tex]2x=180^\circ -36^\circ[/tex]

[tex]2x=144^\circ[/tex]

Divide both sides by 2.

[tex]x=\dfrac{144^\circ}{2}[/tex]

[tex]x=72^\circ[/tex]

Therefore, the measure of angle PRV is 72 degrees.

Answer:

x=32

Step-by-step explanation:

you have to solve by taking the interior angle of polygon

Answer:

y = 31

Step-by-step explanation:

Exterior angle thm:

y + y = y + 31

2y = y + 31

2y - y = 31

y = 31

Answer:

C=hypotenuse [h]=50 feet

A=[base]=40foot.

B=perpendicular [p]=?

Area =?

we have

By using Pythagoras law

p²+b²=h²

B²=40²=50²

B²=50²-40²

B=√900

B=30feet

we have

Area of triangle =½×A×B=½×30×40=600feet²

the roped off area is 600 square feet.

it is a right angled triangle.

Find Base

Area

Off course right angle

Answer:

D

Step-by-step explanation:

in order to get the process of solving the equation, we need to solve it.

our goal to solve the equation 6x-19=77 is to isolate the variable onto one side, and have the numbers (value of x) on the other

we have the equation:

6x-19=77

first, we can get rid of -19 on the left side and leave 6x on that side by adding 19 to both sides (-19+19=0).

The reason why we're adding 19 to both sides is because if we do something to one side, we have to do it to the other side to make sure the value of the equation stays the same.

6x-19= 77

   +19  +19

_________

6x=96

now, we do have the variables on one side and the numbers on another side, but we aren't done yet, as we want the value of x by itself

divide by 6 on both sides

x=16 (because 6x/6=1x, or x. 96/6=16).

the option of D shows the same method I did and has the correct answer as well.

This is what was given for D:

6x-19=77

6x-19+19=77+19

6x=96

6x/6=96/6

x=16

(same thing I did)

So D is the correct answer.

Hope this helps!

Answer:

-6 2/3

Step-by-step explanation:

Answer

 - 6   2 / 3

Step-by-step explanation:

answer is - 6  2/ 3

Answer:

Y = 60 because a equallateral triangle is always 60˚ I don't know x though

Answer:

$4

Step-by-step explanation:

5c + 4p=28 equation 1

2c + 2p=12 equation 2

-2(2c +2p)=-2(12) multiply equation 2 by -2 so you can solve by elimination.

-4c-4p=-24 equation 2 multiplied by -2

5c+4p=28. Equation 1

c=4 added above 2 equations

solve for plates:

2c + 2p=12

2(4)+ 2p=12

8+2p=12

2p=4

p=2

check answer:

5c+4p=28. Equation 1

5(4)+4(2)=28

20+8=28

28=28

Answer:

The answer is $20.

Step-by-step explanation:

The way we find how much each cookie is is by dividing 8 by 10. We get 0.8. So now we know each cookie costs 80 cents. So, for 25 cookies, all we need to do is multiply 25 and 0.8. When multiplied, you get the answer $20.

Answer:

3

Step-by-step explanation:

Answer:

1/2x6=3

Step-by-step explanation:

i hope this helps :)

Answer:

Y = 16a + 12b

Step-by-step explanation:

Given:

Cost of each neckless = $16

Cost of each bracelet = $12

Find:

Equation for the following state

Computation:

Assume;

Number of neckless sale in a month = a

Number of bracelet sale in a month = b

Total amount she earn = Y

So,

Total amount she earn = (Cost of each neckless)(Number of neckless sale in a month) + (Cost of each bracelet)(Number of bracelet sale in a month)

Y = (16)(a) + (12)(b)

Y = 16a + 12b

Answer:

Step-by-step explanation:

¿A qué se llamó feudalismo? ¿Dónde y cuándo se desarrolló?

Answer:C the students were amounting to almost nothing in theater a

Step-by-step explanation:

Answer:

It’s 3,1 pretty sure

Step-by-step explanation:

Answer:

Intial Value; $4 (charged)

Rate of change: $2 every exhibit visited

Admission: $4

1 exhibit visited: $6

2 exhibits visited: $8

3 exhibits visited: $10

4 exhibits visited: $12

5 exhibits visited: $14

6 exhibits visited: $16

7 exhibits visited: $18

8 exhibits visited: $20

etc.

Step-by-step explanation:

4+2x = C

C= Cost

X = amount of exhibits visited

To find the total cost.

Answer:

37 ft

Step-by-step explanation:

The ladder forms a right triangle as it elan's against the wall of the boat house.

Thus, the length of the ladder can be determined using Pythagorean theorem.

c² = a² + b²

c = length of ladder

a = 35 ft

b = 12 ft

Plug in the values

c² = 35² + 12²

c² = 1,225 + 144

c² = 1,369

c = √1,369

c = 37

Therefore, to reach the roof of the boathouse, the length of the ladder = 37 ft

Answer:

Your answer would be 3.4

Step-by-step explanation:

I would explain but it seems like you in a hurry for the answer so I'm just going to give you the answer hope you get a %100 on whatever your doing!!

Please mark brainly!

Answer:

Step-by-step explanation:

Answer:

5.94g

Step-by-step explanation:

4.14+1.8=5.94gram

Answer:

38°

Step-by-step explanation:

The angles in a triangle always add up to 180 degrees.

Therefore, all the angles in the triangle given in the question add up to 180 degrees.

So, let's create an equation and solve for [tex]x[/tex]:

[tex]x+44 + 63 + 85 + x = 180[/tex]

Simplify:

[tex]2x + 192=180[/tex]

Solving for [tex]x[/tex] we get:

[tex]2x=-12\\x=-6[/tex]

Now, let's put the value of [tex]x[/tex] we got into the formula for angle A.

[tex]x+44=y[/tex]

[tex]-6+44=y=38[/tex]

Answer:

This question has incorrect answers but the answer that they are looking for is: 24 hours

Step-by-step explanation:

The average is the total hours divided by the number of weeks

So far Emily has 6 hours for the first 3 weeks, x is the number of hours she needs to work in the 4th week.  

(6+x)/4=10

6+x = 40

x = 34

All the answers they gave are wrong because they did not account for the 4th week while taking averages.

Angle A in triangle ABC is approximately 76 degrees. So, correct option is A.

In a right triangle, the side opposite the right angle is called the hypotenuse, and the other two sides are called the legs. Let's consider triangle ABC, where angle B is the right angle, AC is the hypotenuse, and BC is one of the legs.

We are given that AC = 33 and BC = 32. To find angle A, we can use trigonometric ratios. In this case, we can use the sine function.

The sine of angle A is defined as the ratio of the length of the side opposite angle A (BC) to the length of the hypotenuse (AC):

sin(A) = BC / AC

Substituting the given values, we have:

sin(A) = 32 / 33

Using the inverse sine function (sin⁻¹), we can find the value of angle A:

A = sin⁻¹(32 / 33)

Using a calculator, we find that angle A is approximately 75.85 degrees. Rounding off to the nearest angle we get 76 degrees.

Therefore, angle A in triangle ABC is approximately 76 degrees. So, correct option is A.

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The total distance that Jacob and his dad hiked from their campsite to the top of the mountain is approximately 7,105.92 feet.

To calculate the total distance Jacob and his dad hiked from their campsite to the top of the mountain, we need to consider the width of the base of the mountain and the height of the mountain.

Given:

Base width of the mountain: 2,600 feet

Since the mountain is pretty much isosceles, we can assume that the height of the mountain is equal to the length of the two equal sides of the triangle formed.

To find the height of the mountain, we can use the Pythagorean theorem.

Let's assume the height of the mountain is 'h' feet.

Using the Pythagorean theorem, we have:

[tex](2,600/2)^2 + h^2 = 2,600^2[/tex]

Simplifying the equation:

[tex]1,300^2 + h^2 = 2,600^2\\1,690,000 + h^2 = 6,760,000[/tex]

[tex]h^2 = 6,760,000 - 1,690,000\\h^2 = 5,070,000[/tex]

Taking the square root of both sides:

h = sqrt(5,070,000)

h ≈ 2,252.96 feet

Now we can calculate the total distance they hiked from their campsite to the top of the mountain by considering the base width and the height of the mountain.

Total distance = Base width + 2 × Height

Total distance = 2,600 + 2 × 2,252.96

Total distance ≈ 2,600 + 4,505.92

Total distance ≈ 7,105.92 feet

Therefore, the total distance that Jacob and his dad hiked from their campsite to the top of the mountain is approximately 7,105.92 feet.

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The required proportion according to the given figure is [tex]\frac{2}{5} =\frac{5}{8}\\[/tex]

The dilation factor is used to determine the extent to which an object has increased or decreased.

The required proportion is expressed as:

[tex]\frac{l}{w} =\frac{L}{W}\\ \frac{5}{2} =\frac{8}{5}\\ \frac{2}{5} =\frac{5}{8}\\[/tex]

Hence the required dilation is [tex]\frac{2}{5} =\frac{5}{8}\\[/tex]

Learn more on dilation here: https://brainly.com/question/10253650

Answer:

r=5.86%

Step-by-step explanation: