All categories

3 years ago

The base of a triangle is seven less than twice its height. If the area of the triangle is 102 cm2, find the length of the base.

Mathematics

2 answers:

arlik [135]3 years ago

7 0

Answer:

17 cm

Step-by-step explanation:

Area = 1/2(base)(height)

the base is seven less than twice the height, so

b = 2h-7

try to substitute for one of the variables, because it is much easier to solve for them.

b = 2h-7

b+7 = 2h

(b+7)/2 = h

Area = 102

102 = 1/2(b)(b+7)/2

408 = (b)(b+7)

408 = b^2+7b

b^2+7b-408=0

(b+24)(b-17)=0

b = -24 or b = 17

since length can't be a negative number, the length of the base is 17 cm

Shalnov [3]3 years ago

5 0

Answer:

195

Step-by-step explanation:

You might be interested in

According to the US department of labor, total employment is expected to increase from 146 million in 2000 to 168 million in 201

saveliy_v [14]

Answer:

The percent increase in the employment from the year $2000$ to year $2010$ is $15.07\%$ .

Step-by-step explanation:

Given:

Employment in the year $2000$ $=146$ million.

Employment in the year $2010$ $=168$ million.

To find: The percent increase in the employment.

Solution: We have,

Employment in the year $2000$ $=146$ million.

Employment in the year $2010$ $=168$ million.

Increase in employment $=168-146=22$ million.

Percent increase $=\frac{\textrm{Increase in employment}}{\textrm{Original employment}}\times100\%$

Percent increase $=\frac{22}{146}\times100\%=15.07\%$

Hence, the percent increase in the employment from the year $2000$ to year $2010$ is $15.07\%$ .

3 0

3 years ago

About two twenty-fifths of the male population in the world cannot distinguish red from green. If there are fourteen boys in the

solniwko [45]

About 175 ninth grade boys. 2/25 is equal to 0.08. if we take the 14 students and divide it by 0.08, we can get the total of 175 ninth grade boys.

6 0

3 years ago

Triangle JKL has vertices J(-4, -1), K(0, 4), and L(-4, -2). Graph The triangle and it’s image after a dilation with a scale fac

Dafna1 [17]

Answer:

J(-2, -0.5), K(0, 2), L(-2, -1)

Step-by-step explanation:

5 0

3 years ago

Give each rate in miles per hour:

DIA [1.3K]

a) 9/212 = #mph

b)0.000142045 Miles / 0.000277778 hours = # mph

Step-by-step explanation:

a) 9/212 = #mph

1)9 inches divide the length value by 63360 is 0.000142045 Miles

2) 1 hour 3600 seconds in ones hour so 1/3600 =0.000277778

3) take miles/hour

0.000142045 Miles / 0.000277778 hours = # mph

6 0

3 years ago

a train travels 304 miles in 4 hours if it continues to travel at the same rate how many miles will it travel in seven and a hal

svlad2 [7]

Answer:

570 miles

Step-by-step explanation:

304/4 is how many miles it travels in each hour and if its 7.5 hours then you multiply that by each mile it takes each hour.

304/4 = 76

76 x 7.5 = 570

5 0

3 years ago