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3 years ago

What is the area of the triangle below?

Mathematics

2 answers:

Tju [1.3M]3 years ago

8 0

The answer is B. 68 sq units

Novay_Z [31]3 years ago

4 0

The answer is B:68

All you have to do is base times height and divide by 2

A=bh/2

A=17(8)/2

A=136/2

A= 68

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A boat traveled 153 miles downstream and back. The trip downstream took 9 hours. The trip back took 17 hours. What is the speed

fgiga [73]

Speed of boat in still water is 13 miles per hour and speed of current is 4 miles per hour

<h3><u><em>Solution:</em></u></h3>

Let s = the speed of the boat in still water in miles/hour

Let c = the speed of the current in miles/hour

<em><u>Formula to remember:</u></em>

If the speed of a boat in still water is s miles/hr and the speed of the current is c miles/hr, then:

Speed downstream = (s + c) miles per hour

Speed upstream = (s - c) miles per hour

<em><u>Given:</u></em>

boat traveled 153 miles downstream and back

distance for downstream = 153 miles

distance for upstream = 153 miles

time taken for downstream = 9 hours

Time taken for upstream = 17 hours

<em><u>The relation between speed, distance and time is given as:</u></em>

$distance = speed \times time$

<em><u>For downstream:</u></em>

$153 = (s + c) \times 9$

$s + c = \frac{153}{9} = 17$

s + c = 17 ------- eqn 1

<em><u>For upstream:</u></em>

$153 = (s - c) \times 17\\\\s - c = \frac{153}{17} = 9$

s - c = 9 ------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to find values of "s" and "c"</u></em>

Add eqn 1 and eqn 2

s + c = 17

s - c = 9

(+) -------------

2s = 26

Substitute s = 13 in eqn 1

13 + c = 17

c = 17 - 13 = 4

Thus the speed of boat in still water is 13 miles per hour and speed of current is 4 miles per hour

8 0

3 years ago

At a garage sale, the following were sold. Which of the items sod represent a ratio of 5:2? Select all that apply.

luda_lava [24]

t-shirts : sunglasses; shoes : hats
The number of t-shirts to sunglasses sold has a ratio of 5:2 (25:10 = 5:2).
The number of shoes to hats sold has a ratio of 5:2.

5 0

3 years ago

The area of a rectangular garden in square feet can be represented by 22 - 102 +21. The length is 2 - 7 feet. You have been hire

Anettt [7]

The area of a rectangular garden in square feet can be represented by z² - 10z +21. The length is z - 7 feet. You have been hired to fertilize the

garden. Recall that the area of the garden is z² - 10z +21. If z = 20 and the fertilizer costs $0.27 per square foot, how much it cost to fertilize

the garden?

Answer:

$ 59.67

Step-by-step explanation:

The area of a rectangular garden in square feet can be represented by z² - 10z +21 square feet

If z = 20

Therefore:

The area of the rectangular garden is:

20² - 10 × 20 + 21

400 - 200 + 21

= 221 square feet

The fertilizer costs $0.27 per square foot, how much it cost to fertilize

the garden?

The cost of fertilize the garden is calculated as:

1 square feet = $0.27

221 square feet = x

Cross Multiply

221 square feet × $0.27

=$ 59.67

4 0

3 years ago

Calculate the area of a 3-inch by 5-inch photo. What would be the area if it is enlarged by a scale factor of 2? What would be t

Olegator [25]

3 inch by 5 inch
A = L * W.....A = 3 * 5....A = 15 inches^2

if it is enlarged by a scale factor of 2...
3 x 2 = 6
5 x 2 = 10
Area = L * W......A = 6 * 10...A = 60 inches^2

if reduces by a scale factor of 1/2..
3 x 1/2 = 3/2 = 1.5
5 x 1/2 = 5/2 = 2.5
A = L * W....A = 1.5 * 2/5....A = 3.75 inches^2

7 0

3 years ago

The is 1and 3/4 pounds of candy to be shared in bags that hold 1/4 pounds of candy. How many bags will be able to be made

Ira Lisetskai [31]

Answer:

343

Step-by-step explanation:

3 0

3 years ago