Simplify ((–3)2)3. Question 4 options: A) (–3)5 B) (–3)3/2 C) (–3)6 D) (

Name the types of angles shown.

PIT_PIT [208]

< ABC is a straight angle
no right angles
no complimentary angles
< ABD and < DBC are supplementary angles

7 0

3 years ago

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Can someone help me with this please?

Elena-2011 [213]

29.) This is simply interpreting the linear function.
The function:
96+2.1x
a.) The 96 is what you start with from the beginning. So, we know Rachel weighed 96 ounces when she was born.
b.) Again, interpretation. The 2.1 is the slope, or the change in the line. So we know that Rachel gains 2.1 ounces each day.
30.) For this one, you just have to plug 9 into the equation for x.

6 0

3 years ago

A spinner is half red and half blue. If you spin the spinner twice, what is the probability that you will get red both times?

Usimov [2.4K]

Answer: Probability of getting red both times is $\frac{1}{4}$

Step-by-step explanation:

Since we have given that

A spinner is half red and half blue.

Probability of getting red is given by

$\frac{1}{2}$

Probability of getting blue is given by

$\frac{1}{2}$

Since he spins the spinner twice.

Probability that you will get red both times is given by

$\frac{1}{2}\times \frac{1}{2}\\\\=\frac{1}{4}$

Hence, Probability of getting red both times is $\frac{1}{4}$

4 0

3 years ago

3$ pre child 5$ adult totaling 374 tickets sold at the cost of 1524 dollars. how many child and adult tickets were sold

Elza [17]

Answer:

173 children tickets were sold and 201 adult tickets were sold

Step-by-step explanation:

Let the number of child ticket sold be x

Let the number of adult ticket sold be y

If the total number of ticket sold is 374, hence;

x +y = 374 .... 1

Also if the ticket cost 3$ per child and 5$ per adult with total cost of $1524, this can be expressed as;

3x + 5y = 1524..... 2

Solve both equations simultaneously

From 1; x = 374 - y ...3

Substitute equation 3 into 2

3(374-y)+5y = 1524

1122-3y+5y = 1524

1122+2y = 1524

2y = 1524 - 1122

2y = 402

y = 402/2

y = 201

Since x = 374-7

x = 374 - 201

x = 173

Hence 173 children tickets were sold and 201 adult tickets were sold

6 0

3 years ago

Determine whether a figure with the given vertices is a rectangle using the Distance Formula.

Alex Ar [27]

Answer:

Yes; Opposite sides are congruent, and diagonals are congruent.

Step-by-step explanation:

we have

$A(4, -7), B(4, -2), C(0, -2), D(0, -7)$

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the length of the sides

Find the distance AB

substitute the values

$d=\sqrt{(-2+7)^{2}+(4-4)^{2}}$

$d=\sqrt{(5)^{2}+(0)^{2}}$

$AB=5\ units$

Find the distance BC

substitute the values

$d=\sqrt{(-2+2)^{2}+(0-4)^{2}}$

$d=\sqrt{(0)^{2}+(-4)^{2}}$

$BC=4\ units$

Find the distance CD

substitute the values

$d=\sqrt{(-7+2)^{2}+(0-0)^{2}}$

$d=\sqrt{(-5)^{2}+(0)^{2}}$

$CD=5\ units$

Find the distance AD

substitute the values

$d=\sqrt{(-7+7)^{2}+(0-4)^{2}}$

$d=\sqrt{(0)^{2}+(-4)^{2}}$

$AD=4\ units$

Compare the length sides

AB=CD

BC=AD

therefore

Opposite sides are congruent

step 2

Find the length of the diagonals

Find the distance AC

substitute the values

$d=\sqrt{(-2+7)^{2}+(0-4)^{2}}$

$d=\sqrt{(5)^{2}+(-4)^{2}}$

$AC=\sqrt{41}\ units$

Find the distance BD

substitute the values

$d=\sqrt{(-7+2)^{2}+(0-4)^{2}}$

$d=\sqrt{(-5)^{2}+(-4)^{2}}$

$BD=\sqrt{41}\ units$

Compare the length of the diagonals

AC=BD

therefore

Diagonals are congruent

The figure is a rectangle, because Opposite sides are congruent, and diagonals are congruent

8 0

3 years ago

Read 2 more answers

Simplify ((–3)2)3. Question 4 options: A) (–3)5 B) (–3)3/2 C) (–3)6 D) (–3)2/3