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2 years ago

Which of the following is equal to the expression listed below?

Mathematics

1 answer:

Vladimir79 [104]2 years ago

5 0

10+15=25, so when you add 2+3 it equals 5 and when you times 5 by 5 it equals 25.

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write an equation to find the number of students in mr.boggs homeroom if the total number of stdents is 90

prohojiy [21]

The number of students in Mr. Boggs’s homeroom is equal to b. Add the total number of students in each class and set it equal to 90.

90 = b + 1.5(b + 2) + 15 + (2b – 9)

Use the Distributive Property, and collect like terms. 90 = b + 1.5b + 3 + 15 + 2b – 9

90 = 4.5b + 9

4 0

2 years ago

For what value is a is (a,9) a solution of the equation y=2x+1

yanalaym [24]

Answer:

a = 4

Step-by-step explanation:

y = 2x + 1 ......(1)

Going through y - y1 = m(x - x1)

m is slope and it is 2

y1 = 9 and x1 = a

y - 9 = 2(x - a)

y - 9 = 2x - 2a

y = 2x - 2a + 9 ........(2)

Equating (1) and (2)

2x + 1 = 2x - 2a + 9

Collecting like terms

2x - 2x + 2a = 9 - 1

2a = 8

a = 8/2

a = 4

7 0

3 years ago

If Diana walks forward and her angle looking to the top of the building changes to 40°, how much closer is she to the building?

elena55 [62]

The closer Diana gets to the building, the smaller the angle becomes

Diana is 17.6 feet closer to the building

<h3>How to calculate the distance from the building</h3>

To calculate the distance between her and the building, we make use of the following tangent ratio

$\tan(\theta) = \frac{h}{d}$

Where:

$\theta = 40^o$
h represents the height of the building; h = 130
d represents the distance from the building

So, we have:

$\tan(40) = \frac{130}{d}$

Make d the subject

$d = \frac{130}{\tan(40)}$

Evaluate tan(40)

$d = \frac{130}{0.8391}$

$d = 154.93$

Initially, Diana is at a distance of 172.53.

The difference in both distance is:

$\Delta d = 172.53 - 154.93$

$\Delta d = 17.6$

Hence, Diana is 17.6 feet closer to the building

Read more about trigonometry ratios at:

brainly.com/question/4326804

7 0

2 years ago

Does -2 4/5 + 6 1/3= 2/5

aleksandr82 [10.1K]

Answer:

yes.

Step-by-step explanation:

6 0

2 years ago

Kinda left explainitory but I need help with finding the base

almond37 [142]

Answer:

6.4 cm

Step-by-step explanation:

Area of triangle = 17.28 cm²

$\frac{1}{2}*base *altitude = 17.28\\\\\frac{1}{2}*base*5.4=17.28\\\\base = 17.28*\frac{2}{5.4}\\\\base= 3.2*2\\\\base = 6.4 cm$

5 0

2 years ago