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morpeh [17]
3 years ago
14

A stainless steel patio heater is shaped like a square pyramid. The length of one side of the base is 19.8 inches. The slant hei

ght is 92.8 inches. What is the height of the heater? Round to the nearest tenth of an inch.

Mathematics
1 answer:
Inessa [10]3 years ago
4 0

Answer:

Step-by-step explanation:

You can look at the photo for more information:

Use the pythagorean theorem to solve this problem

height^{2}  = slant height^{2} - half of base diagonal^{2}  

= 92.8^{2} -19.8^{2}

= 8219.8

Then square root it, we have: \sqrt{8219.8} = 90.66

So the height is: 90.66

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.
jarptica [38.1K]

Answer:

3 gallons

Step-by-step explanation:

Let

x ----> the amount of pure acid (100% solution) in gallons

Remember that

100\%=100/100=1

20\%=20/100=0.20

60\%=60/100=0.60

we know that

(1)(x)+(0.20)(3)=(0.60)(x+3)

solve for x

x+0.60=0.60x+1.80

x-0.60x=1.80-0.60\\0.40x=1.20\\x=3\ gal

therefore

3 gallons of pure acid should be mixed with 3 gallons of a 20% acid solution in  order to get a 60% acid solution

7 0
3 years ago
What factor is paired with 6 to give 24
Ivanshal [37]
<em>It is 4 since 6 * 4 = 24
</em>
4 0
3 years ago
Read 2 more answers
Tell whether the table of values represents a linear function, an exponential function, or a quadratic funtion
gizmo_the_mogwai [7]

Answer:

Step-by-step explanation:

if it is linear then it will be a straight line(gradient is the same)

if quadratic then curve(gradeint isnt the same)

y=mx+c

m=[y(2)-y(1)]/[x(2)-x(1)]

you can choose any 2 points from the table

m=2-0.4/0-1

m=-1.6

repeat but 2 different coordinates

m=0.4-0.08/-1--2==>-2.24

m=-2.24

different coordinate therefore quadratic

cant be exponential, because nothing is being raised to some power

5 0
2 years ago
Early diagnosis and treatment of malaria are necessary components in the control of malaria. The gold-standard light microscopy
docker41 [41]

Answer:

a) 0.9548

b) 0.0452

Step-by-step explanation:

Specificity of test:

The specificity of a test is the true negative rate, that is, the proportion of people without the disease that test negative.

Sensitivity of test:

The sensitivity of a test is the true positive rate, which is the proportion of people with the disease that test positive.

a. What proportion of the people who test positive for Malaria would we expect to actually have the disease?

This is the sensitivity of the test, which is of 95.48%, so the proportion if 0.9548.

b. What proportion of people who test positive for Malaria will not have the disease?

True positive rate is of 95.48%.

1 - 0.9548 = 0.0452

So the proportion of people who test positive for Malaria will not have the disease is 0.0452.

6 0
3 years ago
Combine like radicals to get your answer. <br><br> image attached
Lena [83]
I believe it’s -6 square root of 2 + 3 square root of 4 + 6 square root of 5
3 0
4 years ago
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