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3 years ago

I need help on this question

Mathematics

1 answer:

Irina18 [472]3 years ago

7 0

To find the surface area of the figure , we need to add the surface area of all the faces

So the surface area of figure = Area of two lateral rectangular faces + Area of two triangular faces + area of base

hence

Surface Area of figure = 2(10*15) + 2( 1/2 * 8 * 12) + (12*15)

= 300 + 96 + 180

= 576 square feet

So correct option is the last one

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Scott’s piggy bank contains $5.87 worth of pennies and quarters. If the number of pennies is fifteen more than the number of qua

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Answer:

23 quarters and 12 pennies

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3 years ago

Which of the following statements is needed in order to prove these triangles are congruent by AAS?

creativ13 [48]

Answer:

$RQ\cong UT$

Step-by-step explanation:

Two triangles are congruent by AAS postulate if two adjacent corresponding angles are congruent and the next adjacent sides to any of the angles is are also congruent. The adjacent sides should not be in between the two congruent angles.

From the triangles RQS and UTV

$\angle R\cong \angle U\\\angle S\cong \angle V$

The adjacent side to $\angle R$ is RQ and for $\angle U$ is UT.

Similarly, the adjacent side to $\angle S$ is QS and for $\angle V$ is TV.

So, the possible sides that could be congruent by AAS postulate are:

$RQ\cong UT$ or $QS\cong TV$

So, the correct option is $RQ\cong UT$

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3 years ago

In fraction from what is 16/104 in simplest form

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3 years ago

54 sq. Ft. Rectangle 9 ft. Lenght what is width

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6 because 54 divided by 9 is 6

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3 years ago

A train travels from Tutuban to Calamba station. The distance between Tutuban and Calamba is defined by the function d(x) = x4 +

svlad2 [7]

given :

d(x) = x^4 + x^3 + 3x^2 + 4x - x kilometers.

t(x) = x

presumably the same value of x is used in both equations.

distance traveled is a function of time traveled, and that this relationship is preserved for any given speed.

Formula

r × t = d

r is the rate in kilometers per hour.

t is the time in hours.

d is the distance in hours.

based on the formulas you are given, this becomes:

r * t(x) = d(x)

if the train travels for 2 hours, then:

t(x) = t(2) = 2

d(x) = x^4 + x^3 + 3x^2 + 4x - x

d(2) = 2^4 + 2^3 + 3*2^2 + 4*2 - 2

d(2) = 42.

hence, t(2) = 2 and d(2) = 42

if the trip takes 2 hours, then the distance traveled is 42 kilometers based on the value of x = 2 in both equations.

the rate * time = distance equation of r * t(x) = d(x)

r × 2 = 42

r = 42/2

= 21.

this says the train will travel 42 kilometers in 2 hours if the train travels at 21 kilometers per hour.

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3 years ago