Which of the following is a solution to the system of equations? y= 3x+24 y=10-0.5x

What is the measure of ACE in the diagram below? A. 46 B. 104 C. 29 D. 58

beks73 [17]

Answer:

C

Step-by-step explanation:

The secant- secant angle ACE is half the difference of the measures of the intercepted arcs, that is

∠ ACE = $\frac{1}{2}$ (AE - BD ) = $\frac{1}{2}$ (104 - 46)° = $\frac{1}{2}$ × 58° = 29° → C

3 0

3 years ago

Read 2 more answers

annual sales for a company are $149,999 and are increasing at a rate of 6% per year. write an exponential growth function to mod

elixir [45]

Answer:

S(t) = 149999(1.06)^t
$225543

Step-by-step explanation:

Initial value is $149999
Increase rate is 6% per year = 1.06 times

The model of the growth is:

S(t) = 149999(1.06)^t, where S- amount of annual sales, t- time in years, 1.06- growth rate per year

Annual sales after 7 years:

S(7) = 149999(1.06)^7 = $225543

4 0

3 years ago

In a water treatment plant, water passes through a cone-shaped filter with a height of 4 m and a diameter of 9 m. The water flow

kicyunya [14]

B is the answer!!!!!!!!1

3 0

3 years ago

Matt's phone bill consist of an initial monthly charge of $30 and then he pays $4.50 per gigabyte of internet he uses. If he spe

ivanzaharov [21]

Answer:

5 gigabytes

Step-by-step explanation:

30+4.50x=52.50 (equation)

-30 -30

4.50x=52.50

/4.50 /4.50

x= 5

5 gigabytes

5 0

3 years ago

A rocking horse has a weight limit of 60pounds. What percentage of the weight limit is 33 pounds? What percentage of the weight

bixtya [17]

Answer:

The percentage is 55% when weight limit is 33 pounds.

The percentage is 190% when weight limit is 114 pounds.

The 95% of the limit weighs 57 pounds.

Step-by-step explanation:

Given:

Weight limit of rocking horse = 60 pounds.

We need to find:

a) What percentage of the weight limit is 33 pounds.

b)What percentage of the weight limit is 114 pounds.

c) What weight is 95% of the limit.

Now Solving for a we get;

Weight limit = 33 pounds

Now percentage of the weight limit can be calculated by dividing given weight limit with total weight limit and then multiplying by 100 we get;

framing in equation form we get;

percentage of the weight limit = $\frac{33}{60}\times100 = 55\%$

Hence The percentage is 55% when weight limit is 33 pounds.

Now Solving for b we get;

Weight limit = 114 pounds

Now percentage of the weight limit can be calculated by dividing given weight limit with total weight limit and then multiplying by 100 we get;

framing in equation form we get;

percentage of the weight limit = $\frac{114}{60}\times100 = 190\%$

Hence The percentage is 190% when weight limit is 114 pounds.

Now Solving for c we get;

Percentage Weight = 95%

Now Amount of weight limit can be calculated by multiplying Percentage weight limit with total weight limit and then Dividing by 100 we get;

framing in equation form we get;

percentage of the weight limit = $\frac{95}{100}\times60 = 57 \pounds$

Hence The 95% of the limit weighs 57 pounds.

4 0

3 years ago