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3 years ago

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Mathematics

1 answer:

Bezzdna [24]3 years ago

8 0

The volume of the solid is 540 mm

Step-by-step explanation:

The volume a rectangular prism is calculated as the product of its length, width and height.

Mathematically, V=l*w*h where l is length of the prism, w is width and h is the height

Given that the dimensions of the rectangular prism as;

Length=15 mm

Width= 6 mm

Height = 6 mm

V=15*6*6= <u>540 mm </u>

<h2>If this is the best answer please mark brainilest. Have a great day, hope this helps! </h2>

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J = K (1+ p/100) make p as a subject

olganol [36]

Answer:

p = 100(J/K - 1)

Step-by-step explanation:

When we want to make a variable the subject of an equation, we want to get that variable by itself on one side of the equation - to unwrap it from all the operations attached to it.

Here's what the process looks like for p:

$J=K(1+p/100)\\J/K=1+p/100\\J/K-1=p/100\\p=100(J/K-1)$

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3 years ago

Write an equation in slope-intercept form for the following line:<br><br> (-14,1) and (13,-2)

alex41 [277]

Answer:

$\large \boxed{y = - \frac{1}{9} x - \frac{5}{9} }$

Step-by-step explanation:

In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.

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

m-term is defined as slope in y = mx+b form which is slope-intercept form.

Now we substitute these ordered pairs (x, y) in the formula.

$\large{m = \frac{1 - ( - 2)}{ -14 - 13} } \\ \large{m = \frac{1 + 2}{ - 27} } \\ \large{m = \frac{3}{ - 27} = - \frac{1}{9} }$

After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is

$\large \boxed{y = mx + b}$

We already know m-value as we substitute it.

$\large{y = - \frac{1}{9} x + b}$

We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)

We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.

$\large{y = - \frac{1}{9} x + b} \\ \large{ - 2 = - \frac{1}{9} (13) + b} \\ \large{ - 2 = - \frac{13}{9} + b} \\ \large{ - 2 + \frac{13}{9} = b} \\ \large{ - \frac{5}{9} = b}$

Finally, we know b-value. Then we substitute it in our equation.

$\large{y = - \frac{1}{9} x + b} \\ \large{y = - \frac{1}{9} x - \frac{5}{9} }$

4 0

3 years ago

Which expression represents the distance between the points (a, 0) and (0, 5) on a coordinate grid?

Mashcka [7]

$\displaystyle d= \sqrt{(x_1-x_0)^2+(y_1-y_0)^2}$ - d is distance, (x_1,y_1) and (x_0,y_0) two points on a coordinate grid.

In our case :
$(x_1,y_1)=(a,0)\\(x_0,y_0)=(0,5)$

$d= \sqrt{(a-0)^2+(0-5)^2} = \sqrt{a^2+25}$

6 0

3 years ago

Read 2 more answers

What is the area of the pentagon, rounded to the nearest tenth?

Rudik [331]

The area of the pentagon, rounded to the nearest tenth will be 32.7 square cm. Then the correct option is C.

<h3>What is a polygon?</h3>

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm.

Then the side length of the pentagon will be

5 x Side length = 21.8 cm

Side length = 4.36 cm

Then the area of the pentagon, rounded to the nearest tenth will be

Area of pentagon = 5 x area of triangle

Area of pentagon = 5 x 1/2 x 4.36 x 3

Area of pentagon = 32.7 square cm

Thus, the correct option is C.

More about the polygon link is given below.

brainly.com/question/17756657

#SPJ1

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2 years ago

Roberta needs ribbon for a craft project. The ribbon sells for $3.74 per yard. Find the cost, in dollars, for 48 inches of the r

almond37 [142]

You have to convert 1 yard to 36 inches. so you do 3.74×3.74(1/3) because the extra 12 inches is one third of a yard. You eventually get 4.986 which rounds to 4.99

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3 years ago