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Arturiano [62]
3 years ago
11

What is the area of this trapezoid? Please help me.

Mathematics
1 answer:
JulijaS [17]3 years ago
4 0

Step-by-step explanation:

Area of a trapezoid is 1/2h(b1+b2)

So let's substitute.

1/2*17*(15+27)

1/2*17*42

Answer is 357 cm squared

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The production cost for a t-shirt printing company is a function of the number of t-shirts that are printed, t. The function tha
uranmaximum [27]

Answer:

Therefore the company have to print either 47 or 12 t-shirt for its production cost to be $40 or less.

Step-by-step explanation:

Given that,

The function that models the production cost is

f(t)=0.1 t^2-6t+100

To find the number of t-shirt, we put f(t)=40 in given function.

∴40= 0.1t²-6t+100

⇒ 0.1t²-6t+100-40=0

⇒0.1 t²- 6t +60=0

⇒t²-60t+600=0

Applying quadratic formula x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}, a=1, b= - 60 and c=600

t=\frac{-(-60)\pm\sqrt{(-60)^2-4.1.600}}{2.1}

  = 47.32,12.67

 ≈47, 12

Therefore the company have to print either 47 or 12 t-shirt for its production cost to be $40 or less.

7 0
3 years ago
Graph each absolute value function. State the domain, range, and y-intercept.
Paraphin [41]

Answer:

i)D:x\in R

ii)R: y\ge-3

iii) Y-int:(0,-1)

Step-by-step explanation:

i) The given absolute value function is;

f(x)=|x+2|-3.

The absolute value function is defined for all real values of x.

The domain is all real numbers.

ii) The range is all y-values that will make x defined.

The given function,

f(x)=|x+2|-3.

has vertex at, (-2,-3) and opens upwards.

This implies that, the minimum y-value is -3.

The range is y\ge-3

iii) To find the y-intercept substitute x=0 in to the function.

f(0)=|0+2|-3.

f(0)=|2|-3.

f(0)=2-3.

f(0)=-1.

The y-intercept is (0,-1)

See attachment for graph.

6 0
4 years ago
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14 x 4 = 56

Jonia needs 56 tablets to fill Mr. Robinson’s prescription.
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3 years ago
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Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equat
daser333 [38]
Using the simple interest formula, [ i=prt ],
y=360*0.03*x
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3 years ago
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Mr. rancher wants to build a pen for his horse. he wants the pen to be 40 yards long and 50 yards wide. if the fencing comes in
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