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Ostrovityanka [42]

3 years ago

6

I have problems doing this

1 answer:

alexandr1967 [171]3 years ago

6 0

That how I got the answer

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Find the area of the rhombus.

Archy [21]

The answer is c
the rhombus above is formed by 4 triangles
area of one triangle= 9*13.5*0.5=60.75
area of 4 triangles = 4*60.75=243

6 0

3 years ago

Read 2 more answers

A person is on the outer edge of a carousel with a radius of 20 feet that is rotating counterclockwise around a point that is ce

Scilla [17]

Answer: Assuming the riders starts at the position (20, 0) on the x-axis, the exact position of the rider will be (20cos75, 20sin75) or about (5.18, 19.32).

The angle for 5pi/12 radians is 75 degrees. Therefore, to find the position we can use the sine and cosine of 75 to find the x and y value of the coordinate.

For the y-value, we can write and solve:
sin75 = x/20

For the x-value, we can write and solve:
cos75 = x/20

3 0

3 years ago

Find the slope intercept form of slope-2 which passes through (-5,1)

dusya [7]

Answer:

$y=2x+11$

Step-by-step explanation:

So we know that the slope is 2 and the lines passes through the point (-5,1).

We can use the point-slope form. The point-slope form is:

$y-y_1=m(x-x_1)$

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute 2 for m and (-5,1) for (x₁, y₁), respectively. Therefore:

$y-(1)=2(x-(-5))$

Simplify:

$y-1=2(x+5)$

Distribute the 2:

$y-1=2x+10$

Add 1 to both sides:

$y=2x+11$

So, the equation of our line is:

$y=2x+11$

6 0

2 years ago

In 2016 the United States had a population of about 323 million people and was growing at 0.7 %. Use an explicit exponential mod

ElenaW [278]

Answer:

2047

Step-by-step explanation:

We are given that

Growing rate=0.7%

$\frac{dp}{dt}=\frac{0.7}{100}P$

$\int \frac{dP}{P}=0.007\int dt$

$lnP=0.007t+C$

Using the formula

$\int \frac{dx}{x}=ln x+C$

$P=e^{0.007t+C}=e^{0.007t}\cdot e^C=Ae^{0.007t}$

$e^C=A$

Initially when t=0,P=323 million

Substitute the values

$323 million=A$

$P=323e^{0.007t}$

Now, substitute P=400 million

$400=323e^{0.007t}$

$ln\frac{400}{323}=0.007t$

$ln(1.2384)=0.007t$

$t=\frac{ln(1.2384}{0.007}$

$t=30.5\approx 31 Years$

Year=2016+31=2047

Hence,In 2047 the U.S population will reach 400 million people.

5 0

3 years ago

Conditional Probability

trapecia [35]

To solve for P(QIR) we use the formula:
P(QIR)=[P(Q∩R)]/P(R)
But from the diagram:
P(Q∩R)=3/22
P(R)=7/22
hence
P(QIR)=3/22÷7/22=3/7

3 0

3 years ago