PLEASE HELP!!!

PLZ HELP I WILL MARK BRAINLEST IF CORRECT

Nataly_w [17]

they are equal or congruent because if you look at it they both are right triangles

4 0

3 years ago

A ray has an endpoint.?

mart [117]

Answer:

A ray is a part of a line that has one endpoint and goes on infinitely in only one direction.

5 0

2 years ago

According to data from a medical association, the rate of change in the number of hospital outpatient visits, in millions, in

GaryK [48]

Answer:

a) $f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+264,034,000$

b) f(t=2015) = 264,034,317.7

Step-by-step explanation:

The rate of change in the number of hospital outpatient visits, in millions, is given by:

$f'(t)=0.001155t(t-1980)^{0.5}$

a) To find the function f(t) you integrate f(t):

$\int \frac{df(t)}{dt}dt=f(t)=\int [0.001155t(t-1980)^{0.5}]dt$

To solve the integral you use:

$\int udv=uv-\int vdu\\\\u=t\\\\du=dt\\\\dv=(t-1980)^{1/2}dt\\\\v=\frac{2}{3}(t-1980)^{3/2}$

Next, you replace in the integral:

$\int t(t-1980)^{1/2}=t(\frac{2}{3}(t-1980)^{3/2})- \frac{2}{3}\int(t-1980)^{3/2}dt\\\\= \frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}+C$

Then, the function f(t) is:

$f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+C'$

The value of C' is deduced by the information of the exercise. For t=0 there were 264,034,000 outpatient visits.

Hence C' = 264,034,000

The function is:

$f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+264,034,000$

b) For t = 2015 you have:

$f(t=2015)=0.001155[\frac{2}{3}(2015)(2015-1980)^{1/2}-\frac{4}{15}(2015-1980)^{5/2}]+264,034,000\\\\f(t=2015)=264,034,317.7$

3 0

3 years ago

The question is in the picture please explain.

lapo4ka [179]

Answer:

x = 78

Step-by-step explanation:

Look at Triangle DBH. Two of its angles are known. Let y = <DHB

47 + 31 + y = 180 All triangles have 180 degrees. Combine the left.

78 + y = 180 Subtract 78 from both sides.

78-78+y = 180-78 Combine

y = 102

Notice that y + x = 180 They form a straight line.

102 + x = 180 Subtract 102 from both sides.

x = 78

You should notice that x is an exterior angle. (I didn't at first).

Exterior angles are the sum of the two remote interior angles which in this case, are 31 + 47 = 78

Much shorter and much easier.

3 0

3 years ago

2. On a blueprint for a new building, 2 inches = 8 feet. The height of the building on the

dimulka [17.4K]

<h2>Answer:</h2><h2>The actual height of the building = 36 feet.</h2>

Step-by-step explanation:

By blue print conversion,

2 inches = 8 feet

Therefore, 1 inch = $\frac{8}{2}$ = 4 feet

1 inch = 4 feet

The height of the building on the blueprint = 9 inches

The actual height of the building = 9 * 4 = 36 feet.

4 0

3 years ago