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3 years ago

The sixth graders have a fundraising goal of $480. They have reached 3/4 of their goal so far. How much money have they raised?

Mathematics

2 answers:

Elena L [17]3 years ago

8 0

Answer:

360

Step-by-step explanation:

divide 480 by 4 to figure out what 1/4 is and then multiple 120 by 3.

melisa1 [442]3 years ago

6 0

Answer:

$360

Step-by-step explanation:

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The coordinates of the vertices of a polygon are (-2, 1). (-3, 3), (-1, 5), (2, 4), and (2, 1). What is the perimeter of the pol

kobusy [5.1K]

Answer:

$15.2\ units$

Step-by-step explanation:

step 1

Plot the vertices of the polygon to better understand the problem

we have

$A(-2, 1). B(-3, 3), C(-1, 5), D(2, 4),E(2, 1)$

using a graphing tool

The polygon is a pentagon (the number of sides is 5)

see the attached figure

The perimeter is equal to

$P=AB+BC+CD+DE+AE$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 2

Find the distance AB

$A(-2, 1). B(-3, 3)$

substitute in the formula

$d=\sqrt{(3-1)^{2}+(-3+2)^{2}}$

$d=\sqrt{(2)^{2}+(-1)^{2}}$

$d_A_B=\sqrt{5}=2.24\ units$

step 3

Find the distance BC

$B(-3, 3), C(-1, 5)$

substitute in the formula

$d=\sqrt{(5-3)^{2}+(-1+3)^{2}}$

$d=\sqrt{(2)^{2}+(2)^{2}}$

$d_B_C=\sqrt{8}=2.83\ units$

step 4

Find the distance CD

$C(-1, 5), D(2, 4)$

substitute in the formula

$d=\sqrt{(4-5)^{2}+(2+1)^{2}}$

$d=\sqrt{(-1)^{2}+(3)^{2}}$

$d_C_D=\sqrt{10}=3.16\ units$

step 5

Find the distance DE

$D(2, 4),E(2, 1)$

substitute in the formula

$d=\sqrt{(1-4)^{2}+(2-2)^{2}}$

$d=\sqrt{(-3)^{2}+(0)^{2}}$

$d_D_E=\sqrt{9}\ units$

$d_D_E=3\ units$

step 6

Find the distance AE

$A(-2, 1).E(2, 1)$

substitute in the formula

$d=\sqrt{(1-1)^{2}+(2+2)^{2}}$

$d=\sqrt{(0)^{2}+(4)^{2}}$

$d_A_E=\sqrt{16}\ units$

$d_A_E=4\ units$

step 7

Find the perimeter

$P=AB+BC+CD+DE+AE$

substitute the values

$P=2.24+2.83+3.16+3+4=15.23\ units$

Round to the nearest tenth of a unit

$P=15.2\ units$

6 0

3 years ago

the bottom of the swimming pool has an area of 48 meters. If the pool is 2 meters deep, what is the volume of the pool

KiRa [710]

Volume of a rectangular prism=Base*Height
Area is 48 meters squared and height is 2 meters
V=48*2
V=96 cubic meters

3 0

3 years ago

The area of the rectangle below is ___sq. units.

iren2701 [21]

Answer: Let's have the picture of the rectangle

Step-by-step explanation:

4 0

3 years ago

30 meter building casts a shadow the distance from the top of the building to the tip of the shadow is 37 M find the length of t

Pavlova-9 [17]

Answer: 22 meters

Step-by-step explanation:

Draw a picture of a right triangle and label the height as 30 meters and the hypotenuse as 37 meters. Use the Pythagorean Theorem to find the base (the length of the shadow).

a² + b² = c²

x² + 30² = 37²

x² = 37² - 30²

x² = 1369 - 900

x² = 469

√x² = √469

x = 21.656

x ≈ 22

3 0

4 years ago

How to solve 17 = x/2 + 1

Nana76 [90]

Answer:

x = 32

Step-by-step explanation:

17 = x/2 + 1

17 - 1 = x/2

16 = x/2

16 / 1/2 = x

16 * 2/1 = x

32 = x

8 0

3 years ago

Read 2 more answers