What is the solution to 34x + 95 = 3(14x + 9)?

Answer:

c = 45.33, C =97°, a = 40, A = 61.15° , B = 21.85°, b = 17

Step-by-step explanation:

Given that:

C = 97°, a = 40 and b = 17.

We have angle C, we need to find the side the side c opposite to the angle C. we have side a, we need to find the angle A opposite to side a. we have side b, we need to find the angle B opposite to side b.

Using cosine rule:

c² = a² + b² - 2ab × cos(C)

c² = 40² + 17² - 2(40)(17)cos(97)

c² = 2054.74

c = 45.33

Also using sine rule:

[tex]\frac{a}{sin(A)} =\frac{c}{sin(C)} \\\frac{40}{sin(A)}=\frac{45.33}{sin(97)} \\sin(A)=\frac{sin(97))40}{45.33}=0.876\\A=sin^{-1}(0.876)=61.15^0[/tex]

Also:

[tex]\frac{b}{sin(B)} =\frac{c}{sin(C)} \\\frac{17}{sin(B)}=\frac{45.33}{sin(97)} \\sin(B)=\frac{sin(97))17}{45.33}=0.3722\\B=sin^{-1}(0.3722)=21.85^0[/tex]

c = 45.33, C =97°, a = 40, A = 61.15° , B = 21.85°, b = 17

Answer:

5 1/4

Step-by-step explanation:

Divide 15 3/4 by 3 to get the answer

Answer:

Antarctica's highest recorded temperature was 15 degrees.

Step-by-step explanation:

I am going to say that Antarctica highest recorded temperature is x.

I suppose there is a small typing mistake.

It is that the difference between Antarctica highest recorded temperature and this is 49.44.

So we have that x - (-34.44) = 49.44 instead of -34.44 - x = 49.44, which would lead to a highest temperature way lower than the one recorded in this winter.

So

x - (-34.44) = 49.44

x + 34.44 = 49.44

x = 49.44 - 34.44

x = 15

Antarctica's highest recorded temperature was 15 degrees.

Answer:

15 degrees

Step-by-step explanation:

Answer:

r = 6 cm

Step-by-step explanation:

The volume of a sphere is 288 pi cm tripled . Find the lenght of a radius of a SPHERE.What is the answer and how did you do it?

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

The volume of a sphere of radius r is:

V+=+4%2Api%2Ar%5E3%2F3

It's r cubed, not tripled. meaning r*r*r

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

288pi+=+4%2Api%2Ar%5E3%2F3

864+=+4r%5E3

r%5E3+=+216

r = 6 cm

Answer:

[tex]x = \frac{1}{5} [/tex]

Step-by-step explanation:

8-9=-5x

-1=-5x (divide both sides by -5)

x=-1/5 (since they r both negative they both become positive)

x=1/5

Answer:

$1500

Step-by-step explanation:

Let's start by converting 80% to a decimal. 80% means 80/100, or 0.8. Let's call the full budget b.

0.8b=1200

Divide both sides by 0.8 to isolate b:

b=1200/0.8=$1500

Hope this helps!

Answer:

A=238.87 cm

Step-by-step explanation:

First find the area for the rectangle

11*23= 253 cm

then find the area for the little circles

D=3cm so r=1.5cm

Now plug in values into formula

A=π(1.5)^2

A=π(2.25)

A=3.14(2.25)=7.065cm

A=7.065cm since there are two circles

7.065*2=14.13

Now subtract the area of the circles from the rectangle

253-14.13=238.87

Hey there! I'm happy to help!

To find the volume of a cone, you take the area of the base, multiply it by the height and divide it by three.

We see that the radius of our base is three. To find the area of the base, we will square the radius and multiply it by 3.14 (formula for area of circle).

3²=9

9×3.14= 28.26

We multiply it by the height.

28.26(2)=56.52

We divide it by three.

56.52/3=18.84

Therefore, the area is 18.84 units cubed.

Now you can find the volume of cones! I hope that this helps! Have a wonderful day!

Answer:

You would need $18 total to buy the racks needed.

Step-by-step explanation:

First, every 20 CDs needs a new rack, so you would divide 120 by 20.

120 / 20 = 6 racks

Second, you would multiply the price ($3) of a rack by how many racks needed.

3 * 6 = $18

Answer: to

this answer is attached to the picture

Answer:

[tex] \frac{53}{64} [/tex]

Step-by-step explanation:

[tex] \frac{7}{8} - \frac{3}{64} \\ \frac{7 \times 8}{8 \times 8} - \frac{3}{64} \\ \frac{56}{64} - \frac{3}{64} \\ = \frac{53}{64} [/tex]

Answer:

Correct option: A

Step-by-step explanation:

The angle BDC inscribe the arc mBC, so we have that:

mBDC = (1/2) * mBC

mBDC = (1/2) * 118 = 59°

From the secants relation in a circle, we have that:

mA = (1/2) * (mBC - mDE)

35 = (1/2) * (118 - mDE)

70 = 118 - mDE

mDE = 48°

The sum of the arcs is 360°, so we have:

mBC + mCD + mDE + mBE = 360

118 + mCD + 48 + 76 = 360

mCD = 360 - 118 - 48 - 76 = 118°

The angle mCBD inscribes the arc mCD, so we have:

mCBD = (1/2) * mCD = (1/2) * 118 = 59°

The angles mCBD and mBDC are equal, so the triangle is isosceles.

Correct option: A

Answer:for the first one, you should probably do a table of values then answer the question, i usually find that helpful

Step-by-step explanation:

Answer:

8,192....this is the answer

Answer:

h < 10 or (0, 10)

The problem has multiple solutions

Step-by-step explanation:

In this case we can calculate the height of the hot water tank because we know the diameter and volume. The formula is:

V = pi * (r ^ 2) * h

we solve for h:

h = V / (pi * r ^ 2)

the radius is half the diameter, that is, r = d / 2; r = 8/2 = 4

replacing:

h = 503 / (3.1413 * 4 ^ 2)

h = 10

the problem has multiple solutions since they say that it is shorter, shorter is a number less than 10.

solution: h <10 or (0, 10)

Answer:

12√2

Step-by-step explanation:

Use the Pythagorean Theorem here:

(12 cm)^2 + (12 cm)^2 = 288 cm^2.  

The length of the hypotenuse is √288 = (√4)(√72) = 2(√36)(√2) = 12√2

Given that both legs of a 45, 45, and 90 degree triangle are 12cm, find out the length of the hypotenuse.

To solve for the hypotenuse, we will use the Pythagorean Theorem.

The formula to find the hypotenuse is:

a^2 + b^2 = c ^2

We already know that both legs are 12cm, so we can plug them in.

12^2 + 12^2 = c^2

Solve.

144 + 144 = c^2

Add.

288 = c^2

Find the square root of 288.

sqrt(288) = 16.97

Therefore, the square root of 288 is 16.97

If we round 16.97 to 17 and then square it, that would equal 289.

So, the best choice is to leave it as 16.97.

Thus, the length of the hypotenuse is 16.97 or 17 if you want to round it.

Answer:

1.A≈78.54  2.A≈50.27 3. A≈201.34 4. A≈313.84

Step-by-step explanation:

Answer:

41 children

Step-by-step explanation:

do it yourself..

Answer:

Step-by-step explanation:

[tex]A_L=2\pi rh[/tex]

Step-by-step proof:

by AAA similarity, triangle WZP is similar to triangle XYP.

so WZ/WY=PZ/PY=1=WP/PX, so we get WP=PX

Answer:

n/a

Step-by-step explanation:

theyre similar by aaa similarity

Answer:

Just took it!

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, add each number in the set of data. Then, divide the sum by the count of numbers in the data set.

example:

DATA SET:

5 4 7 6

MEAN STEP 1:

5 + 4 + 7 + 6 = 22

MEAN STEP 2:

Since there are four numbers in the data set, divide 22 by four.

Answer:

Sample Answer: First, find the mean of the data set by averaging. Next, find the absolute deviations for each data point. That is, find the distance each point is from the mean. Then find the mean of the absolute deviations.

Which did you include in your explanation? Check all that apply.

Find the mean of the set of data.

Find the absolute deviations for each point.

Absolute deviation is a data point’s distance from the data set’s mean.

Find the mean of the absolute deviations.

Answer:

$1247.97

Step-by-step explanation:

$42 per month of service

new phone monthly service is $415.99

415.99 x 3 = 1247.97

Answer:

1)probability of choosing a yellow marble is 6/14 or 3/7(in lowest terms)

2)probability of showing its heads is 1/2

Answer:

D. 80, 140, 70

Step-by-step explanation:

80°, 140° and 70° cannot form a triangle as the total number of the three angles is 290° whereby the total number of angles in a triangle is 180°

Answer:

80, 140, 70

Step-by-step explanation:

because

Answer:

640.56ft^2

Step-by-step explanation:

V=2πrh+2πr^2

V=2×3.14×6ft×11ft+2×3.14×6^2

V=6.28×66ft^2+6.28×36ft^2

V=414.48ft^2+226.08ft^2

V=640.56ft^2

Answer:

3x

Step-by-step explanation:

6x-2y-3x+2y

Combine like terms

6x -3x     -2y +2y

3x                 +0

3x

Answer:

3x

Step-by-step explanation:

6x-2y-3x+2y

combine like term

6x-3x= 3x

-2y+2y=0

3x

1 hour is 60 minutes.

She spent a total of 60 + 15 + 25 = 100 minutes on home work.

She spent 25 reading, so she spent 25/100 of her time reading.

25/100 reduces to 1/4

Step-by-step explanation:

3 is missinh to make this question true

3×(4+9)

Answer:

Added 7.4y + 11.2y

Step-by-step explanation:

Let's solve the equation our self and see what the actual solution is,

11.2y - 7.4y = 141.36

→ Multiply everything by 100 to get rid of the decimal's

1120y - 740y = 14136

→ Simplify the 'y' terms

380y = 14136

→ Divide both sides 380 to isolate 'y'

y = 37.2

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

The answer is "added 7.4y + 11.2y" because if we use that method then,

7.4y + 11.2y = 141.36

→ Collect the 'y' terms

18.6y = 141.36

→ Divide both sides by 18.6 to isolate y

y = 7.6