∠ABC and ∠DBC are complementary angles. If m∠ABC=6x+13 and m∠DBC=4x−3 what is the value of x?

Answer:

height = 12 feet

Step-by-step explanation:

r (radius of circle) = 7 ft

pi = 3.14 (in this context)

v = 1/3 * [tex]πr^{2}[/tex] (or pi * radius squared) * h

r squared = 49 ft

v = 1/3 3.14 * 49 * h

v = 1/3 153.86 * h

3v = 153.86 * h

v = 196π

v = 615.44

3v = 1,846.32

1,846.32 = 153.86 * h

h = 12 ft.

Answer:

a) 4c+3b=11.67

   8c+b=12.89

b)One loaf of bread cost $2.09

  One can of soup costs $1.35

Step-by-step explanation:

Let c= can of soups    Let b= loaf of bread

a) To find the equation, you know that Khalil buys four cans of soup and 3 loafs of bread and 4 cans of soup for $11.67 so that means that the first equation will be 4c+3b=11.67. Then, you know that Khalil buys 8 cans of soup and one bread for $12.89. so the next equation will be 8c+b=12.89. This means the system of linear equations will be

4c+3b=11.67

8c+b=12.89

b) Use elimination to solve this. You want to make one variable from each equation the same so multiply 4c+3b=11.67 by 2. This will look like 2(4c+3b=11.67). Then simplify to get 8c+6b=23.34 and 8c+b=12.89. Because 8 and 8 are the same, you have to subtract the equations from each other making 5b=10.45. Simplify that and you get b= 2.09 so the one loaf of bread cost $2.09. Then  plug 2.09 into 8c+b=12.89. It will look like this 8c+2.09=12.89. Simplify that and you get 8c=10.8. Simplify that again and you will get 1.35 so a can of soup will costs $1.35

Therefore

a) 4c+3b=11.67

   8c+b=12.89

b) One loaf of bread cost $2.09

   One can of soup costs $1.35

Answer:

y ≈ 12.3

Step-by-step explanation:

Using the SOH CAH TOA identity to get the value of y as shown;

sin theta = opposite/hypotenuse

opposite = y

hypotenuse = 15cm

theta = 180-(35+90)

theta = 180-125

theta = 55 degrees

sin 55 = y/15

y = 15sin55

y = 12.287

y ≈ 12.3 (to the nearest tenth)

Answer:

x=15

Step-by-step explanation:

side PQ =side QR

8x-27=4x+33

8x-4x=33+27

4x=60

x=60/4

x=15

Answer:3p=42 (p=14)

Step-by-step explanation:

Since there are 3 cookies in each pack you would need to divide.

Answer: 8.4 miles

Step-by-step explanation:

d = rt

Solve for her rate

21 = 5r

r = 21/5

r = 4.2

Solve for if the time is 2 hours and rate (solved previously) is 4.2

d = 4.2*2

d = 8.4

The distance traveled by Rebecca in 2 hours is given by d = 8.4 miles and the speed is S = 4.2 miles / hour

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the total distance ran by Rebecca be D = 21 miles

The time taken by her to travel 21 miles T = 5 hours

So , the speed of Rebecca S = D / T

On simplifying , we get

S = 21/5

S = 4.2 miles per hour

Therefore , the speed of Rebecca is 4.2 miles / hour

Now , let the time taken be T₂ = 2 hours

So , the distance traveled in 2 hours , D = ST₂

D = 4.2 x 2

D = 8.4 miles

Hence , the distance traveled is 8.4 miles

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Answer:

21.7

Step-by-step explanation:

0.6h=13.02

h=13.02/0.6

h=21.7

Answer:

21.7

Step-by-step explanation:  

0.6h=13.02

h=13.02/0.6

h=21.7

Answer:

130.5

Step-by-step explanation:

The solution is,  the value of x is approximately 116.5 meters.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

here, we have,

We are given the following information

From this picture, we want to find the vaule of x. To so, we will use the sine law. to solve this problem.

The sine law relates the sine of the angles of the triangle and the length of the opposite sides of the triangle. If we have a triangle of the form

Then,the sine law states that

sinA/a =sinB/b =sinC/c

Which is equivalent to

a/sinA = b/sinB = c/sinC

In our case, we are given the measure of angles A and B and missing the measure of angle C. Also, we are given the measure of side c. If we apply the sine law to the given triangle we have

x/ sin 35  = 200/ sin 80

So, first we need to identify the value of C. To do so, we will use the following fact:

The sum of the inner angles of a triangle is 180°.

Then, we have the following equation

65 +35 +C = 180

If we operate on the left side, we get

100+C = 180

So, by subtracting 100 from both sides, we get

C= 80

So, if we replace the value of C in the equation we had, we get

x/ sin 35  = 200/ sin 80

If we multiply both sides by sin(35) we get

x = 200* sin 35/ sin80

so, using a calculator we get

x = 116.5

so the value of x is approximately 116.5 meters

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Answer: 5/8 : 5=5/8*1/5=1/8

the answer is 1/8

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

8 is above 5 so round up

Answer:

c

Step-by-step explanation:

4000x.5=2000 which is the next table on the chart.

Answer:

Step-by-step explanation:

y=ar^t

f(x)=4000(1/2)^x

Answer:

10

Step-by-step explanation:

i just kno it if it's not 10 it -11 okkkkkk

Answer:

78 i believe

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

Divide 27 by 100 and you will see it equals 0.27

knowing this made me realize that the unknown number must be the fraction form of 0.78

Answer:

a) Braxton's initial investment is equals to (=) Pam's initial investment.

b)The interest on Braxton's account is less than (< ) the interest on Pam's

   account.  

Step-by-step explanation:

Given - Braxton has money in a savings account. The equation

            B = [tex]800(1 + 0.03)^{t}[/tex] can be used to calculate the amount of money    

            in dollars, B, Braxton has in his account after t years since opening

             the account.  Pam also has money in a savings account. The  

            equation, P= [tex]800(1 + 0.04)^{t}[/tex]  can be used to calculate the  amount of  

             money in dollars, P, Pam has in her account after t years since  

              opening the account.      

To find - a) Braxton's initial investment ..........Pam's initial investment.

                b) The interest on Braxton's account .....the interest on Pam's

                    account.

Proof -

As given, Broxton equation is -  

                 Pam equation is -    

Now,

a.)

For initial investment , Put t = 0

⇒B = [tex]800(1 + 0.03)^{0} = 800(1) = 800[/tex]  

   P =  [tex]800(1 + 0.04)^{0} = 800(1) = 800[/tex]  

We can see that for  t = 0

Initial investment of Braxton = Initial investment of Pam

⇒Braxton's Initial investment = Pam's initial investment.

b.)

For the interest,

As we have not given any time period for which the interest has to be find.  

So , let the time period , t = 5 years

Therefore,

B = [tex]800(1 + 0.03)^{5} = 800(1.03)^{5} = 800(1.159) = 927.42[/tex]  

P = [tex]800(1 + 0.04)^{5} = 800(1.04)^{5} = 800(1.217) = 973.32[/tex]

Now,

Interest on Braxton's account = 927.42 - 800 = 127.42 ≈ 127

Interest on Pam's account = 973.32 - 800 = 173.32 ≈ 173

∴ we get

The interest on Braxton's account is less than the interest on Pam's account.

Answer: 41.5692

Hope I helped :)

Answer:

2 x 25 (50)

3 x 25 (75)

Step-by-step explanation:

Answer: 5 m

Step-by-step explanation:  

Double the area to get 35. then think what two number multiply to get 35 that are also 2 apart.  7 x 5.  So 7 is the height and 5 is the base.  

Check answer:  A = 1/2xbxh

                               A = 1/2 x 7 x 5

                               A =  1/2 x 35

                               A = 17.5 sq m

Answer:

I think:

21) 3.021, 3.120, 3.121, 3.21

22) 1.03, 1.3, 1.09, 1.39

23) 0.0089, 0.012, 0.0189, 0.09

24) 4.0011, 4.01, 4.011, 4.101

25) 5.0090, 5.05, 5.059, 5.5

Answer:

21. 3.021, 3.12, 3.121, 3.21

22. 1.03, 1.3, 1.309, 1.39

23. 0.0089, 0.012, 0.0189, 0.09

Answer:

87.92 in

Step-by-step explanation:

The formula for the circumference of a circle is C=2πr.

C = 2(3.14)(14) = 87.92

Answer:

£8

Step-by-step explanation:

A

Sam:Adam

2:5

3=£12

12÷3=4

1=4

4×2=8

sam=£8

Answer:

63

Step-by-step explanation:

10 × 3 = 30

3× 11 = 33

30 + 33 = 63

Answer:

Product of 2,4,6 is 48❤️❤️❤️❤️

Answer:

awit wala akong maintindihan. srna agad

Answer:

The answer is (-3,7/2)

Step-by-step explanation:

[tex]2 {x}^{2} - x - 21 = 0 \\ (2x - 7)(x + 3) = 0 \\ 2x - 7 = 0 \: \: \: or \: \: x + 3 = 0 \\ x = \frac{7}{2} \: \: and \: x = - 3[/tex]

I am a math teacher If you need any explanation you can communicate with me on Whats on this number +201557831028

Answer:

y = -3

Step-by-step explanation:

The given line is a horizontal line thru -5 on the y-axis.

Your line is parallel to y = -5, hence is also a horizontal line and passes thru (2, -3).  Since -3 is the y-coordinate of that point, y = -3 is the equation of the line you are looking for.

Answer:

61

Step-by-step explanation:

180 - 58 = 122

122÷2 = 61 because it's a and isoslecs triangle

Answer:

If helpful, please mark as brainliest!  =)

Step-by-step explanation:

y=x-1 3/4 all you have to do is subtract the amount used (1 3/4) form the starting amount (x)