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3 years ago

Zack counts 12 total stars on a paper. 1/3 of the stars are yellow. How many yellow stars are on the paper?

Mathematics

2 answers:

andrew11 [14]3 years ago

8 0

4 stars are yellow .

jenyasd209 [6]3 years ago

4 0

Answer:

4 stars

Step-by-step explanation:

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Find the gradient of the line joining the points P(2,5) and Q(4,-2).

liq [111]

Answer is -7/2

Gradient or slope is found by change in y over change in x.
Or
(y2 - y1) over (x2 - x1)

So
(-2 -5) over (4-2)
= -7/2

6 0

2 years ago

Question 3 Determine the area of the parallelogram below 8 cm 2.8 cm 2.2 cm

vodka [1.7K]

To find the area of a parallelogram, we need to multiply the base times the altitude.

We have that the base is equal to 8cm, and the altitude is equal to 2.2cm (the altitude is perpendicular to the base). Then, we have:

$A_{\text{parallelogram}}=b\cdot h=8\operatorname{cm}\cdot2.2\operatorname{cm}=17.6\operatorname{cm}^2$

Therefore, the area of this parallelogram is equal to 17.6 sq. centimeters.

6 0

1 year ago

Find all x-intercepts and y-intercepts of the graph of the function.<br> F(x)=x³-4x² - 4x + 16

Lady bird [3.3K]

Answer: (0;16) (4;0) (2;0) (-2;0).

Step-by-step explanation:

Y-intercepts of the graph of the function F(x)=x³-4x² - 4x + 16:

$x=0\\F(x)=0^3-4*0^2-4*0+16\\F(x)=16.\\Hence,\ (0;16).$

X-intercepts of the graph of the function F(x)=x³-4x² - 4x + 16:

$F(x)=0\\0=x^3-4x^2-4x+16\\0=(x^3-4x^2)-(4x+16)\\0=x^2*(x-4)-4*(x-4)\\0=(x-4)*(x^2-4)\\0=(x-4)*(x^2-2^2)\\0=(x-4)*(x-2)*(x+2)\\x-4=0\\x_1=4.\\Hence,\ (4;0)\\x-2=0\\x_2=2.\\Hence,\ (2;0)\\x+2=0\\x_3=-2.\\Hence,\ (-2;0).$

8 0

1 year ago

If the radius of circle A is 6 units, calculate the area of the shaded region...

meriva

The formula of an area of a triangle:

$A_{\triangle}=\dfrac{base\cdot height}{2}$

We have:

$\triangle_{FDE}:\ base=height=1\\\triangle_{GDH}:\ base=height=9$

substitute:

$A_{\triangle_{FDE}}=\dfrac{1\cdot1}{2}=0.5\\\\A_{\triangle_{GDH}}=\dfrac{9\cdot9}{2}=40.5$

The formula of an area of a circle:

$A_O=\pi r^2$

We have $r=6$

Substitute:

$A_O=\pi\cdot6^2=36\pi\approx36\cdot3.14=113.04$

The area of the shaded region

$A=A_O-(A_{\triangle_{FDE}}+A_{\triangle_{GDH}})\\\\A=113.04-(0.5+40.5)=113.04-41=72.04\ u^2$

4 0

3 years ago

The height of a cylinder is 13centimeters. The volume of the cylinder is 16,328 cubic centimeters. What is the radius of the cyl

RUDIKE [14]

Answer: radius = 19.99 centimeters

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 22/7

From the information given,

Volume = 16328 cubic centimeters

Height = 13 centimeters

Therefore,

16328 = 22/7 × r² × 13

16328 = 40.857r²

Dividing the left hand side and the right hand side of the equation by 40.857, it becomes

r² = 16328/40.857 = 399.6378

Taking square root of the left hand side and the right hand side of the equation, it becomes

r = 19.99 centimeters

7 0

3 years ago

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