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3 years ago

Find the area of the triangle given below.

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

5 0

Given:

A triangle with a base length of 22 ft and a height of 20 ft.

To find:

The area of the given triangle.

Solution:

The area of a triangle is obtained by multiplying $\frac{1}{2}$ with its base length and its height.

The area of a triangle $= \frac{1}{2} (b)(h).$

The height is the distance from the base to the highest point on the triangle and the length of the base is the base length.

The given triangle has a base length of 22 ft and a height of 20 ft.

The area of the triangle $= \frac{1}{2} (b)(h) = \frac{1}{2} (22)(20).$

$\frac{1}{2} (22)(20) = \frac{1}{2} (440) = 220$ ft².

The given triangle has an area of 220 ft².

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On a cube, what proportion of the surface area is on each face, to the nearest percent?

Misha Larkins [42]

Answer:

Cubes have 6 equal faces, and the surface area is the sum of all of these faces. Thus, one face would be 1/6 of the cube's surface area, or about 17%.

Step-by-step explanation:

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2 years ago

A restaurant offers a special pizza with any 4 toppings. If the restaurant has 15 topping from which to choose, how many differe

OlgaM077 [116]

Answer: 1,365 possible special pizzas

Step-by-step explanation:

For the first topping, there are 15 possibilities, for the second topping, there are 14 possibilities, for the third topping, there are 13 possibilities, and for the fourth topping, there are 12 possibilities. This is how you find the number of possible ways.

15 * 14 * 13 * 12 = 32,760

Now, you need to divide that by the number of toppings you are allowed to add each time you add a topping.

4 * 3 * 2 * 1 = 24

32,760 / 24 = 1,365

There are 1,365 possible special pizzas

8 0

3 years ago

Please please helpp i will mark brainliest!!! 100 points !! ill mark brainliest if its correct.

Paraphin [41]

Answers and Step-by-step explanations:

1. We need to plug in values of x into the functions f(x) and g(x):

f(2) = 2.5 * 2 - 10.5 = -5.5 g(2) = $64 * (0.5^2)$ = 16

f(3) = 2.5 * 3 - 10.5 = -3 g(3) = $64 * (0.5^3)$ = 8

f(4) = 2.5 * 4 - 10.5 = -0.5 g(4) = $64 * (0.5^4)$ = 4

f(5) = 2.5 * 5 - 10.5 = 2 g(5) = $64 * (0.5^5)$ = 2

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(a) Notice that at 14 on the x-axis, the blue line is above 4. Meanwhile, at 14, the red line is less than 2. Obviously, we can see that if the printed ad revenue was less than 2 and the online ad revenue was greater than 4, that's more than a double, so the lead marketing executive is correct.

(b) The approximate year that the revenues were equal is the place where the lines intersect. It's approximately at Year 7.5.

(a) The Western Beach is clearly decreasing; it is decreasing by 2 ft per year. Meanwhile, the Dunes Beach is clearly increasing; it's increasing by 5 ft per year. (I'm not sure what kinds of "patterns" you're looking for).

(b) Year 11 and 12; this is because here, Western is going from 78 to 76 ft and Dunes is going from 75 to 80, so they'll likely coincide sometime in that time interval.

(c) One thing you can do is to create equations (of the form y = mx + b) for each of the beaches and then set those linear equations equal to each other.

6 0

3 years ago

Read 2 more answers

Hillary is making a blanket for her mom. Three fourths of the blanket is green and the rest is yellow. Two thirds of the yellow

Leviafan [203]

Answer:

1/6

Step-by-step explanation:

Hillary is making a blanket for her mom.

Let the total blanket = 1

Three-fourths of the blanket is green and the rest is yellow.

The fraction for the rest(yellow portion) = 1 - 3/4

The Lowest Common Denominator is 4

Hence,

4 - 3 /4 = 1/4

Two-thirds of the yellow part has her name on it.

The fraction of the blanket that will have her name on it is calculated as

2/3 of 1 /4

= 2/3 × 1/4

= 1/6

4 0

3 years ago

Your class is holding elections to choose a leadership committee of 4 students. If there are 30 students in the class, how many

AURORKA [14]

we have given that 30 students .

we need to choose committee of 4 students .

so the formula used here $nCr_{}$ .

where n is the total number of students.

and r is the student chosen from total.

so the possibility of choosing a commitee of 4 from 30 is

$nCr=30C4=\frac{30*29*28*27}{1*2*3*4} =27405$ .

so there 27405 possibilities can exist.

8 0

3 years ago

Read 2 more answers