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d1i1m1o1n [39]
3 years ago
8

In the morning, Sophie goes to the church then goes to the school. In the afternoon she goes to school to home. The map shows th

e distance between school and home as 5 cm. If every 4 cm on the scale drawing equals 8 kilometers, how far apart are the school and home?
Mathematics
1 answer:
ch4aika [34]3 years ago
6 0
10 km because you have 1 cm left over after you make 8 km with the 5cm so you just divide 8 by 4 and get 2km then add that to the 8 to get 10.
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Need help with this asap!
Brums [2.3K]

Answer:

The answer to your question is   b = 8.06 cm

Step-by-step explanation:

Data

hypotenuse = c = 9 cm

long leg = b = ?

short leg = a = 4 cm

Process

This is a right triangle so we must use the Pythagorean theorem to find the length of the long leg (b)

                      c² = a² + b²

-Solve for b²

                      b² = c² - a²

-Substitution

                      b² = 9² - 4²

-Simplification

                       b² = 81 - 16

                       b² = 65

-Result

                      b = 8.06 cm

4 0
3 years ago
Read 2 more answers
Danielle has test scores of 92, 86, 83, 90 and 91 in her math class. What score does she need on the next test to have an overal
kati45 [8]

Answer:

98

Step-by-step explanation:

An average score can be calculated by finding the sum of all scores and then dividing by the number of tests. So we can create an equation like this:

\frac{(92+86+83+90+91+x)}{6}=90

The numerator is the sum of her scores, where x represents the score of her next test (which is what we're trying to find).

The denominator is the total number of tests, which is 6 - this includes the 5 she has taken already and the next test that she hasn't taken yet.

Furthermore, we know all of this has to equal 90 because that's the average we're looking for.

Now we just solve for x.

Step 1) Multiply by 6:

92+86+83+90+91+x=90 \times 6

Step 2) Simplify equation:

442+x=540

Step 3) Subtract 442:

x=540-442=98

Therefore, x = 98, so Danielle must achieve a score of 98 to have an overall class average of 90.

5 0
3 years ago
Which is equivalent to ..
vovangra [49]
The third option is correct.
7 0
3 years ago
Jacob is driving home he drove 10 miles and his house is 156 miles away from him how longer does Jacob need to travel
ivolga24 [154]
He is 146 miles away all you have to do is subtract 10 from 156
4 0
3 years ago
Read 2 more answers
Elijah is looking up to the top of the Washington Monument. If the monument is 555 feet tall and the angle of elevation from the
Romashka-Z-Leto [24]

Answer:

159.14 feet :)

Step-by-step explanation:

7 0
3 years ago
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