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3 years ago

Find the area of the shape shown below

Mathematics

2 answers:

rosijanka [135]3 years ago

4 0

Answer:

Area = L× B

= 8 × 24

= 192

Length = 192

Vika [28.1K]3 years ago

3 0

24 x 8 = 192 is the area

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Ruby Company produces a chair for which the standard specifies 5 yards of material per unit. The standard price of one yard of m

azamat

Answer

given,

Standard price = $ 7.50

8,500 chairs were manufactured, using 43,600 yards at a cost of $7.55 per yard.

Price Variance = Actual Quantity x (Actual Rate - Standard Rate)

= 43,600 x (7.55 - 7.50)

= 2180 (U)

Quantity Variance = Standard Rate x (Actual Quantity - Standard Quantity)

= 7.5 x (43600 - 8500 x 5)

= 8250 (U)

Cost Variance = 2180+ 8250 = 10430 (U)

3 0

4 years ago

Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7, 2), and is parallel to the graph of x + 3y = -

geniusboy [140]

Answer:

The found values are:

A = 1/3

B = -8/3

Step-by-step explanation:

We know that general equation is given by:

y = mx + c

where m is the slope and c is a constant.

x + 3y = -5

y = -(1/3)x - 1/3(5)

Slop of the equation is -(1/3). As parallel line have same slope, substitute it in the first equation:

Ax + By = 3

By = -Ax - 3

By = (1/3)x - 3

Hence, A = 1/3

Substitute point (-7,2) into the equation:

B(2) = (1/3)(-7) -3

B(2) = -7/3 - 3

B(2) = -16/3

B = -16/6

B = -8/3

5 0

3 years ago

A soccer ball is kicked from the ground at an upwards velocity of 90 feet per second. The equation h(t)=-16t^(2)+90t gives the h

garri49 [273]

Answer: 2.81 s

Step-by-step explanation:

Given

Ball is kicked upward with velocity $u=90\ ft/s$

Height of the ball is given by the function $h(t)=-16t^2+90t$

Derivative of a function gives the maxima or minima at certain point

$\Rightarrow \dfrac{dh}{dt}=-32t+90\\\\\Rightarrow \dfrac{dh}{dt}=0\\\\\Rightarrow -32t+90=0\\\\\Rightarrow t=\dfrac{90}{32}\\\\\Rightarrow t=2.81\ s$

Thus, it takes ball 2.81 s to reach the top.

5 0

4 years ago

What is the greatest number of teams can be formed that have the same amount of boys and girls on each team if they have 54 girl

elena55 [62]

The greatest number of teams can be formed that have the same amount of boys and girls on each team is 6

Solution:

Given that there are 54 girls and 84 boys

We have to find the greatest number of teams can be formed that have the same amount of boys and girls on each team

So we have to find the greatest common factor of 54 and 84

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor

Let us find the factors of 54 and 84

The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54

The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

In the above factors list, 6 is the greatest common factor

Then the greatest common factor is 6

So the greatest number of teams can be formed that have the same amount of boys and girls on each team is 6

7 0

4 years ago

5y + 2 – 3(4y) = 0. Solving steps

Novay_Z [31]

Y=2/7::::::::::::::::::::

6 0

3 years ago