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3 years ago

What is the volume of a rectangular prism whose edges measure 3 ft, 3 ft, and 2 ft?

1 answer:

6 0

Volume of rectangular prism = l * b * h
v = 3 * 3 * 2
v = 18

In short, Your Answer would be 18 ft³

Hope this helps!

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Please help, i will give brainest

wlad13 [49]

Answer:

A1(8,0)

B1(12,6)

C1(6,8)

Step-by-step explanation:

If its dilated by a scale factor of 1/2, that means for each x and y-coordinate you divide by 2 to get the new scale factor

Originally A(16,0) so now it would be A1(8,0)

Originally B(24, 12) so now it would be B1(12,6)

Originally C(12, 16) so now it would be C1(6,8)

8 0

3 years ago

25 points!<br> Find the value of X.

aleksklad [387]

$\qquad\qquad\huge\underline{{\sf Answer}}$

In the Triangle BCD, Angle B is 90° since tangent and radius are perpendicular to one another.

Now, let's find Angle C using Angle sum property of a triangle.

$\qquad \tt \dashrightarrow \:\angle C + \angle B + \angle D = 180$

$\qquad \tt \dashrightarrow \:\angle C + 90 + 45= 180$

$\qquad \tt \dashrightarrow \:\angle C + 135= 180$

$\qquad \tt \dashrightarrow \:\angle C= 180 - 135$

$\qquad \tt \dashrightarrow \:\angle C= 45 \degree$

Now, we know that Angle made by an arc on the centre is twice the Angle made by same arc on boundary of circle, hence we can infer that :

$\qquad \tt \dashrightarrow \:2\angle C = 10x$

$\qquad \tt \dashrightarrow \:10x = 2 \times 45$

$\qquad \tt \dashrightarrow \:x = 90 \div 10$

$\qquad \tt \dashrightarrow \:x = 9$

So, the required value of x is 9

6 0

3 years ago

You run around the perimeter of a baseball field at a rate of at most 12 feet per second. Which of the following are possible am

denpristay [2]

Answer: 79 seconds.

Step-by-step explanation:1) we have to calculate the lenght of the baseball field.

perimeter of the baseball field=2(radius)+lenght of a semicircle.

2(radius)=2(175 ft)=350 ft

lenght of a semicircle=40% of a circumference=(40/100)(2πr)

Perimeter of the baseball field=2(175 ft) + (40/100)(2π175 ft)=

=350 ft + 140π ft=350 ft + 439.82 ft=789.82 ft,

2)Now, we calculate the amounts of time that it takes you to ruan arount the baseball field.

10 ft------------------------1 second

789,82 ft----------------- x

x=(789.82 ft * 1 second) / 10 ft=78.98 s≈79 s

7 0

3 years ago

A change purse contains an equal number of pennies , nickels , and dimes. The total value of the coins is 128 cents. How many pe

shepuryov [24]

3 pennies = 3

12 dimes = 120

1 nickel = 5

120 + 5 + 3 = 128, so the number of pennies is 3.

Hope this helps!

4 0

4 years ago

Which expression can be used to show a 40% discount on an item costing $74 plus 7% tax?

baherus [9]

Answer:

The expression for the given discount on item is 74 - [0.4 × 74 + 1.07 × 74]

Step-by-step explanation:

Given as :

The market price of item = m.p = $74

The discount percentage on item = 40%

The sale tax added = 7%

The selling price = s.p = $74 + 7% of $74

I.e s.p = 1.07 × 74

<u>Now, from discount </u>

d % = $\dfrac{m.p - s.p}{m.p}$

Or, 40% = $\dfrac{m.p - s.p}{m.p}$

Or, 0.4 = 1 - $\dfrac{s.p}{m.p}$

Or, 0.4 × 74 = ( 74 ) - (1.07 × 74)

Or, 74 - (1.07 × 74) - 0.4 × 74 = 0

Or, 74 - 74 (1.07 + 0.4) = 0

Or, 74 - [0.4 × 74 + 1.07 × 74] = 0

Hence, The expression for the given discount on item is 74 - [0.4 × 74 + 1.07 × 74] . Answer

3 0

3 years ago