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3 years ago

ABCD is a parallelogram. Find the measure of AD

Mathematics

1 answer:

ankoles [38]3 years ago

4 0

Answer:

Step-by-step explanation:

AD=BC
3y-1=y+15
3y-y=15+1
2y=16
y=8

AD=3y-1
=3(8)-1
=23

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A pizza place offers 4 different cheeses and 10 different toppings. In how many ways can a pizza be made with 1 cheese and 4 top

mylen [45]

Answer:

Step-by-step explanation:

Assuming the toppings don't have to be the same

4*10*10*10*10=4000

If the toppings have to be different:

4*10*9*8*7=20160

8 0

3 years ago

Plz help asap... Explain as much as possible to me plz

Solnce55 [7]

Answer:

see explanation

Step-by-step explanation:

Since the 2 figures are similar then the ratios of corresponding sides are equal, that is

$\frac{8}{x}$ = $\frac{18}{6}$ ( cross- multiply )

18x = 48 ( divide both sides by 18 )

x = $\frac{48}{18}$ = $\frac{8}{3}$ = 2 $\frac{2}{3}$

Similarly

$\frac{5}{y}$ = $\frac{18}{6}$ ( cross- multiply )

18y = 30 ( divide both sides by 18 )

y = $\frac{30}{18}$ = $\frac{5}{3}$ = 1 $\frac{2}{3}$

3 0

3 years ago

4 red balls 4 white balls what is the probability of drawing at least 1 red ball if two balls are drawn

vodomira [7]

The probability of drawing exactly one red ball is given by:
$P(1\ red\ ball)=\frac{4C1\times4C1}{8C2}=\frac{16}{28}$
the probability of drawing two red balls is given by:
$P(2\ red\ balls)=\frac{4C2\times4C0}{8C2}=\frac{6}{28}$
The probability of drawing at least one red ball is:
P(1 red ball) + P(2 red balls) = 16/28 + 6/28 = 11/14.
The answer is $\ \frac{11}{14}$

7 0

4 years ago

ANSWER ASAP

xz_007 [3.2K]

Answer:

12.5 pi or 39.26990

Step-by-step explanation:

First we can find the radius, which is half the diameter, 5 feet. To find the area of a semi-circle we would find the area of the circle and then divide by 2:

$\frac{\pi r^2}{2}$

We can substitute what we have:

$\frac{25\pi }{2}$

This gives us:

12.5 pi or 39.26990(Not sure what format you need it in)

6 0

3 years ago

Make the indicated trigonometric substitution in the given algebraic expression and simplify(x-25)/x = Sin y0

Strike441 [17]

Answer:

x = 25 /(1 − sin(y )) and y ≠ π/2 +2πn

Step-by-step explanation:

Let's solve and simplify for x,

(x − 25 )/ x = sin(y)

Let's multiply both sides by x

((x − 25 )/x) *x= sin(y)*x

Then,

x − 25 = sin(y) * x

Let's add 25 to both sides

x − 25 + 25 = sin(y) * x + 25

If simplify again,

x = sin(y) * x + 25

Then we need subtract sin y x from both sides

x − sin(y) * x = sin (y)* x + 25 − sin (y)* x

It will equal:

x − sin (y)* x = 25

Factor x−sin(y) x: x(1−sin(y) ), then we get:

x (1 − sin(y)) = 25

Finally we need divide both sides by 1 − sin(y) ; y ≠π /2 + 2πn

And it will give us this equation:

x = 25 /(1 − sin(y )) and y ≠ π/2 +2πn

3 0

3 years ago