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hichkok12 [17]
3 years ago
14

What is the are of the parallelogram(look at picture)

Mathematics
1 answer:
victus00 [196]3 years ago
3 0

Answer:

18 cm

Step-by-step explanation:

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Write the coordinate point for the vertex of this parabola: x=1/4y^2
ololo11 [35]
Hello :
x =(1/4)y²
<span> the coordinate point for the vertex is :  O ( 0, 0)</span>
5 0
3 years ago
Use the net to find the surface area of the prism.
mel-nik [20]

Answer:

a. 96 in²

Step-by-step explanation:

The surface area of the prism = the sum of the area of each part of the net shown

✔️Area of the 2 equal triangles = 2(½*b*h)

b = 4 in

h = 3 in

Area of the two triangles = 2(½*4*3) = 12 in²

✔️Area of the rectangle 1 with the following dimensions:

L = 7 in

W = 3 in

Area = L*W = 7*3 = 21 in²

✔️Area of the rectangle 2 with the following dimensions:

L = 7 in

W = 4 in

Area = L*W = 7*4 = 28 in²

✔️Area of the rectangle 3 with the following dimensions:

L = 7 in

W = 5 in

Area = L*W = 7*5 = 35 in²

✅Surface area of the prism = 12 + 21 + 28 + 35 = 96 in²

4 0
3 years ago
What is the estimate of 119÷23.3
Crank
Your answer would be 5.10... Hope this helps :)
6 0
3 years ago
write an equation of a line that passes through the following tow points (4, -6) and (2, 8) show work
stiks02 [169]

Answer:

y = -7x + 22

Step-by-step explanation:

Given

(x_1,y_1) = (4,-6)

(x_2,y_2) = (2,8)

Required

Determine the line equation

This question will be answered using linear interpolation.

This is represented as thus:

\frac{y - y_1}{x - x_1} = \frac{y_2 - y_1}{x_2 - x_1}

Substitute values for x1,x2,y1 and y2

\frac{y - (-6)}{x - 4} = \frac{8 - (-6)}{2 - 4}

\frac{y +6}{x - 4} = \frac{8 +6}{2 - 4}

\frac{y +6}{x - 4} = \frac{14}{-2}

\frac{y +6}{x - 4} =-7

Cross Multiply

y + 6 = -7(x - 4)

y + 6 = -7x + 28

Make y the subject

y = -7x + 28-6

y = -7x + 22

7 0
3 years ago
If a person takes a prescribed dose of 10 milligrams of Valium, the amount of Valium in that person's bloodstream at any time ca
aleksandr82 [10.1K]

Answer:

(a)8.0mg

(b)36.87 hours

(c)-0.168

Step-by-step explanation:

The amount of Valium in that person's bloodstream at any time can be modeled with the exponential decay function A ( t ) = 10 e^{ -0.0188 t (t in hours)

(a)After 12 Hours

A ( 12) = 10 e^{ -0.0188*12}\\=7.98\\\approx 8.0 mg $(to the nearest tenth of a milligram)

(b)If A(t)=5mg

Then:

5= 10 e^{ -0.0188 t}\\$Divide both sides by 10\\0.5=e^{ -0.0188 t}\\$Take the natural logarithm of both sides\\ln (0.5)=-0.0188 t\\t=ln (0.5) \div (-0.0188)\\$t=36.87 hours (to two decimal places.)

(c)

A ( t ) = 10 e^{ -0.0188 t}\\A'(t)=10(-0.0188)e^{ -0.0188 t}\\A'(t)=-0.188e^{ -0.0188 t}\\$At 6 hours, the rate at which the amount of Valium is decaying therefore is:\\A'(6)=-0.188e^{ -0.0188*6}\\$=-0.168 ( to three decimal places)

3 0
3 years ago
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