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3 years ago

A triangle has an area of 160 square inches and the base of the

Mathematics

1 answer:

Veronika [31]3 years ago

7 0

Answer:

8 inches

Step-by-step explanation:

A=h /2

Solving for hb

hb= 2 A /b =2 × 160 /40 = 8 inch

( / means fraction line

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Without actually writing the following explain how to expand (x+3)^7 using the binomial theorem

padilas [110]

Answer:

$x^{7} + 3^{7}$

Step-by-step explanation:

because you put each thing to the power

4 0

2 years ago

The table shows the distance y (in miles) that you travel on a road in x minutes. What type of function best models the data?

evablogger [386]

Answer:

Linear Function

Step-by-step explanation:

Given

The table showing values of x and y

Required

Determine the type of function

To determine the type of function, the table represents;

One will need to determine the table equation.

Start by solving for the slope;

$m = \frac{y_1 - y_2}{x_1 - x_2}$

When x - 0; y = 0 and When x = 80; y = 60.

This gives

$m = \frac{0 - 60}{0 - 80}$

$m = \frac{- 60}{- 80}$

$m = \frac{3}{4}$

The formula is determine as follows;

$y - y_1 = m(x - x_1)$

When x - 0; y = 0; m = 3/4; This gives

$y - 0 = \frac{3}{4}(x - 0)$

$y = \frac{3}{4}(x - 0)$

Open Bracket

$y = \frac{3}{4}x - 0$

$y = \frac{3}{4}x$

The above is an example of a linear equation.

<em>Hence; option B answers the question</em>

8 0

3 years ago

324 ft

kotegsom [21]

The distance between the flagpole and the building is the number of feet between them

The building is 162 feet from the flagpole

<h3>How to determine the distance</h3>

The given parameters are:

Flagpole = 40 feet
Building Shadow = 324 feet

The flagpole's shadow is 50% longer than the flagpole.

So, the length (l) of the flagpole's shadow is:

$l = 40 * (1 + 50\%)$

$l = 60$

The length of the building's shadow (d) is then calculated as:

$60 : 40 =d : 324$

Express as fraction

$\frac{60}{40}= \frac{d}{324}$

$1.50 = \frac{d}{324}$

Solve for d

$d = 1.50 * 324$

$d = 486$

The distance (x) of the building from the flagpole is then calculated as:

$x = 486 - 324$

$x = 162$

Hence, the building is 162 feet from the flagpole

Read more about distance and bearing at:

brainly.com/question/11744248

7 0

2 years ago

Please help me as soon as you can please

Bad White [126]

Answer:

f(x) = 5 * ( 8/5) ^x

Step-by-step explanation:

f(x) = a b^x

Let x = 0

5 = a * b^0

5 = a*1

a = 5

Let x = 1

8 = 5 * b^1

Divide each side by 5

8/5 = b

f(x) = 5 * ( 8/5) ^x

8 0

3 years ago

The area of a rectangle is 33 ft^2, and the length of the rectangle is 5 ft less than double the width. Find the dimensions of t

dimaraw [331]

Answer:

Length = 6

Width = 5.5

Step-by-step explanation:

Let's use the variable x to represent the width:

x = width

The question says that the length of the rectangle is "5 ft less than double the width". This length can be represented like this:

2x - 5 = length

To find the area of a rectangle, you multiply the width and length, so we are going to write an equation where we multiply the width and length and set it equal to 33 ft^2, which is the area:

(x)(2x - 5) = 33

Now use basic algebra to solve for x:

2x^2 - 5x = 33

2x^2 - 5x - 33 = 0

2x^2 + 6x - 11x - 33 = 0

(2x^2 + 6x) + (-11x - 33) = 0

2x(x + 3) - 11(x + 3) = 0

(2x - 11) (x + 3) = 0

x = 11/2, -3

x either equals 11/2 or -3. However, remember that x represents the width, and you can't have a negative number for a width, so x = 11/2 or 5.5.

Now plug in 5.5 to the length expression and simplify:

2(5.5) - 5

11 - 5 = 6

The length is 6 and the width is 5.5.

Hope this helps (●'◡'●)

7 0

2 years ago