All categories

2 years ago

Please help!! shirley is drawing triangle that have the same area

Mathematics

2 answers:

Aliun [14]2 years ago

6 0

Answer:

$\boxed{12 \: \mathrm{and} \: 7}$

Step-by-step explanation:

Solve for the area of first triangle.

$\frac{bh}{2}$

$b=base\\h=height$

$\frac{14 \times 6}{2}$

$\frac{84}{2} =42$

The area of second triangle is same as the first triangle.

The area of second triangle is 42 units².

The base varies inversely with the height.

$b \propto \frac{1}{h}$

As the value of b increases, the value of h decreases.

$\frac{12 \times 7}{2}=42$

The answer is b = 12 and h = 7.

natima [27]2 years ago

4 0

Answer:

12 and 7

Step-by-step explanation:

The area of the first triangle is

A = 1/2 bh

A = 1/2 ( 14*6)

A = 42

The area of the second triangle must equal 42

Varying inversely means as the height increases, the base must decrease at the same rate

Lets try 12 and 7

A = 1/2 (12*7)

A = 42

The height of the new triangle increased and the base decreased

You might be interested in

You earn $15.00 per hour at your job. If you get a 15% raise at the end of each year, what will your hourly rate, h, be after 6

miv72 [106K]

After 6 years, the hourly rate should be 34.69 (or something around that since you may want to round)

6 0

2 years ago

Read 2 more answers

In how many different ways can 10 be written as a sum of odd numbers

kakasveta [241]

5+5=10
3+1+1=10
1+1+1+1+1=10

Hope this Helps!

7 0

3 years ago

Given each of the following areas, what would be the radius of each circle? a. A = 530.66 m2 b. A = 907.46 sq. ft. c. A = 379.94

ra1l [238]

Area for a circle is $A= \pi r^2$ . We will fill in each area and then solve for the radius. $530.66m^2= \pi r^2$ and $\frac{530.66m^2}{3.14}=r^2$ . ∴ $169=r^2$ and r = 13. For b, $907.46ft^2= \pi r^2$ and $\frac{907.46ft^2}{3.14}=r^2$ . $289=r^2$ , ∴ r = 17. For c, $379.94mi^2= \pi r^2$ , and $\frac{379.94mi^2}{3.14}=r^2$ . ∴, $121=r^2$ and r = 11. For d, $1962.5cm^2= \pi r^2$ , and $\frac{1962.5cm^2}{3.14}=r^2$ . ∴, $625=r^2$ so r = 25. And there you have it!

3 0

3 years ago

Vail Resorts pays part-time seasonal employees at ski resorts on an hourly basis. At a certain mountain, the hourly rates have a

notsponge [240]

Answer:

$z=0.842$

And if we solve for a we got

$\mu=13.16 +0.842*3=15.69$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the hourly rates of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,3)$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>13.16)=0.20$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.80 of the area on the left and 0.20 of the area on the right it's z=0.842. On this case P(Z<0.842)=0.8 and P(z>0.842)=0.20

If we use condition (b) from previous we have this:

$P(X$