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4 years ago

Nick is designing a toy car. He is picking between 8 different car models

Mathematics

1 answer:

just olya [345]4 years ago

7 0

Answer:

Step-by-step explanation:

No of types of car model = 8

No of color = 10

we can solve this problem by using fundamental principle of counting.

It states that if there are "m" ways to do a thing and there are "n" ways to do other thing then there are "m*n* ways of doing two things together.

For example if there are 3 shirts and 4 pants then there are 3 * 4 different ways to wear combination of shirts and pants.

Similarly in this problem there 8 different car model and 10 different colors hence there are 8 * 10 = 80 different ways to select combination of car model and colors.

Thus there are 80 number of cars Nick could design

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PtichkaEL [24]

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4 years ago

What is the value of X in the isosceles trapezoid below?

Nana76 [90]

Answer:

Step-by-step explanation:

Remember that in a isosceles trapezoid, its angles on the base are always congruent.

Also, we know by definition that the sum of interior angles of a trapezoid is equal to 360°, so

$2(2x)+2(10x+24)=360\\4x+20x+48=360\\24x=360-48\\x=\frac{312}{24}\\ x=13$

Therefore, the right answer is D.

3 0

3 years ago

1 cm<br> 2 cm<br> What is the area of the<br> composite figure?<br> cm<br> 8 cm

bogdanovich [222]

Answer:

Answer:Option D is correct.Step-by-step explanation:We are given with a solid figure with cuboid in base and square based pyramid in top.we have to find Surface of the figure.Surface Area = Curved surface ares of cuboid + area of base of cuboid + lateral surface area of pyramid.Length of the cuboid, l = 8 cmwidth of the cuboid , w = 8 cm height of the cuboid , h = 11 cm Lateral surface area of pyramid = 4 × Area of a triangle Base of triangle , b = length of cuboid = 8 cmHeight of the triangle ,H = 8 cmSurface Area = 2 × h × ( l+w ) + l × b + 4 × 1/2 × b × H = 2 × 11 × ( 8 + 8 ) + 8 × 8 + 2 × 8 × 8 = 22 × 16 + 64 + 128 = 352 + 192 = 544 cm²Therefore, Option D is correct. Step-by-step explanation:

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3 years ago

My question is on the image it would mean the world to me if you could help

stiks02 [169]

Answer:

a. Slope of f(x) is greater than g(x)

b. y-intercept of f(x) is less than the y-intercept of g

Step-by-step explanation:

Function f(x)

Given the function f(x)

x f(x)

-3 -0.5

-2 0

-1 0.5

0 1

Finding the slope between any two points

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-3,\:-0.5\right),\:\left(x_2,\:y_2\right)=\left(-2,\:0\right)$

$m=\frac{0-\left(-0.5\right)}{-2-\left(-3\right)}$

$m=0.5$

Thus,

The slope of f(x) = 0.5

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the given point (0, 1), we can easily observe that at x = 0, the value of y = 1.

Thus, the y-intercept of f(x) = 1

Function g(x)

Taking two points from the given graph of g(x)

(1, 0)

(0, 2)

Finding the slope between (1, 0) and (0, 2)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(1,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:2\right)$

$m=\frac{2-0}{0-1}$

Refine

$m=-2$

Thus,

The slope of g(x) = -2

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the given point (0, 2), we can easily observe that at x = 0, the value of y = 2.

Thus, the y-intercept of g(x) = 2

Conclusion:

<u>FOR function f(x)</u>

The slope of f(x) = 0.5

The y-intercept of f(x) = 1

<u>FOR function gx)</u>

The slope of g(x) = -2

The y-intercept of g(x) = 2

Thus:

a. Slope of f(x) is greater than g(x)

b. y-intercept of f(x) is less than the y-intercept of g

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3 years ago

I need help on this question

Helga [31]

Answer:

slope =( y2 - y1 ) ÷ (x2 - x1)

Step-by-step explanation:

p1 ( -1 , -2)

p2 (4 , 2 )

slope =

$\frac{2 - ( - 2)}{4 - ( - 1)} = \frac{4}{5}$

8 0

3 years ago