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2 years ago

Please help ASAP!!! Find the volume of the triangular prism.

Mathematics

2 answers:

Mars2501 [29]2 years ago

5 0

Answer:

96 cm³

Step-by-step explanation:

V=1/2×6×8×4=196/2=96cm³

iogann1982 [59]2 years ago

4 0

Length x width x height

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Angela plays soccer and golf for a total of 125 minutes every day. She plays soccer for 45 minutes longer than she plays golf. P

Zielflug [23.3K]

Answer:

Part A) x + y=125, y = x +45

Part B) 85 minutes

Part C) Not possible

Step-by-step explanation:

Given that Angela plays soccer and golf for a total of 125 minutes everyday.

Number of minutes she plays golf = x minutes

Number of minutes she plays soccer = y minutes

Part A:

Total time she plays golf and soccer is 125 minutes.

$x+y=125 ...... (1)$

Angela plays Soccer for 45 minutes longer than she plays golf i.e.

$y = x+45 ....... (2)$

The pair of linear equations are:

$x + y=125, y = x +45$

Part B:

Let us solve the linear equations (1) and (2):

Putting value of y from equation (2) into equation (1):

$x+x+45=125 \\\Rightarrow 2x+45=125\\\Rightarrow 2x=80\\\Rightarrow x=40$

Putting value of x in equation (2):

$y = 40 +45 = 85\ minutes$

Angela plays golf for 85 minutes daily.

Part C:

Given that

Angela spends 80 minutes on soccer.

Total Time = 125 minutes

$\Rightarrow$ Time spent on golf = 125 - 80 = 45 minutes

Time spent on soccer longer than golf = 80 - 45 = 35 minutes $\neq$ 45 minutes

Hence, it is not possible for Angela to have spent 80 minutes playing soccer if she plays for a total of exactly 125 minutes and plays soccer for 45 minutes longer than she plays golf.

So, the answers are:

Part A) x + y=125, y = x +45

Part B) 85 minutes

Part C) Not possible

5 0

2 years ago

The area of a rectangle is 27 m”, and the length of the rectangle is 3 m less than twice the width. Find the dimensions of the r

elena-s [515]

Answer:

$L = 6$ --- Length

$W = 4.5$ --- Width

Step-by-step explanation:

Given

Let: $L = Length; W = Width$

$Area = 27m^2$

$L = 2W- 3m$

Required

Find the dimensions of the rectangle

Area (A) is calculated as:

$A = L * W$

This gives:

$27 = (2W - 3) * W$

Open bracket

$27 = 2W^2 - 3W$

Express as a quadratic function

$2W^2 - 3W - 27 = 0$

Expand

$2W^2 + 6W - 9W - 27 = 0$

Factorize:

$2W(W + 3) - 9(W + 3) = 0$

$(2W - 9)(W + 3) = 0$

This gives:

$2W - 9 = 0\ or\ W + 3 = 0$

$2W = 9 \ or\ W = -3$

Width can not be negative.

So:

$2W = 9$

$W = 4.5$

Recall that:

$L = 2W- 3m$

$L = 2 * 4.5 - 3$

$L = 6$

7 0

2 years ago

The measures of the angles of a triangle are shown in the figure below. Find the measure of the smallest angle.

nataly862011 [7]

Answer:

(2x+18) degrees

Step-by-step explanation:

A triangle is a total of 180 degrees, so you would do:

(2x+18)+55+(4x+11)=180

(2x+4x)+(18+55+11)=180 <- take out parentheses and add like terms

6x+84=180 <- subtract 84 from both sides of the equation

6x=96 <- divide 6 from each side

x=16

Now that you know what x is you would plug it into each of the angles

Angle 1: 2x+18 --> 2(16)+18= 32+18= 50

Angle 2: 55

Angle 3: 4x+11 --> 4(16)+18= 64+18= 82

Then out of these three angles of the triangle, angle 1 (2x+18) would be the smallest.

4 0

3 years ago

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Translate the Verbal phrase into a Math Expression: Four more than twice a number

alukav5142 [94]

Answer:

2x+4 or 4+2x

Step-by-step explanation:

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2 years ago

Please help It’s almost due

Tems11 [23]

Answer:

10 people

Step-by-step explanation:

8 0

2 years ago

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