Tell whether the triangle with the given side lengths is a right triangle. Y/N question

Answer:

Measure of Arc AC is 30 degrees

Step-by-step explanation:

To find the value of the marked arc, we are going to use the arc-angle relationship

from the type of given diagram, we can figure out the relationship to use

Mathematically, we have this as;

Measure of Arc AC = 2 * angle ABC

So we have arc AC as 2 * 15

Arc AC = 30 degrees

Answer:

i^85 = i

A way you can solve this is divide 85 by4

The remainder is one right? that means i^85 is the same as i^1. remember, i^1 = i.

Answer:

[tex]A(w) = (40 - w) * w[/tex]

Step-by-step explanation:

Given

[tex]P = 80[/tex] ---- perimeter

Required

Write the area as a function of width

The perimeter of a rectangle is:

[tex]P =2(l + w)[/tex]

Where

[tex]l \to length\\ w \to width[/tex]

So, we have:

[tex]80 = 2*(l+w)[/tex]

Divide by 2

[tex]40 = l + w[/tex]

Make l the subject

[tex]l =40 - w[/tex]

The area of a rectangle is:

[tex]A = l * w[/tex]

Substitute: [tex]l =40 - w[/tex]

[tex]A = (40 - w) * w[/tex]

Hence, the function is:

[tex]A(w) = (40 - w) * w[/tex]

Answer:

216 in²

Step-by-step explanation:

a = bh

a = 18 * 12

a = 216

1 5/6 + 1 1/3 = 3 1/6

3 1/6 * 60 = 190

Answer: The area, in square feet, of the piece of wood is [tex]32 ft^{2}[/tex].

Step-by-step explanation:

Give: Length = 8 feet

Width = [tex]\frac{1}{2} \times 8[/tex] = 4 feet

As piece of wood is similar to that of a rectangle. Hence, formula to calculate area is as follows.

[tex]Area = length \times width[/tex]

Substitute the values into above formula as follows.

[tex]Area = length \times width\\= 8 feet \times 4 feet\\= 32 ft^{2}[/tex]

Thus, we can conclude that the area, in square feet, of the piece of wood is [tex]32 ft^{2}[/tex].

Answer:

[tex]x = \frac{19-2y}{3}[/tex]

[tex]y=-\frac{3x+19}{2}[/tex]

Step-by-step explanation:

4x + y = 22

y = x - 3

4x + y + y = 22 + x - 3

4x + 2y = 19 + x

4x - x + 2y = 19 + x - x

3x + 2y ÷ 3 = 19 ÷ 3

[tex]x = \frac{19-2y}{3}[/tex]

[tex]y=-\frac{3x+19}{2}[/tex]

Answer:

a)Let's solve for x.

4x+y=22

Step 1: Add -y to both sides.

4x+y+−y=22+−y

4x=−y+22

Step 2: Divide both sides by 4.

4x

4

=

−y+22

4

x=

−1

4

y+

11

2

a)y=x−3

b)y=

−1

2

x+6

b)x=y-12

Answer:

it will take 18 min

Step-by-step explanation:

1/45+1/30=2/90+4/90=5/90=90 divided by 5 is 18

Answer:

[tex]4,060[/tex]

Step-by-step explanation:

[tex]\binom{30}{3}=\boxed{4060}[/tex]

There are 30 teachers for the principal to choose from initially. After the principal chooses one, there will be 29, 28, 27, and so on.

Since the principal is only choosing 3, there are [tex]30\cdot 29\cdot 28=24,360[/tex] permutations. However, the order of which the principal chooses the teachers does not matter. In other words, without loss of generality, let the name of three of the teachers be Adam, Bernie, and Carla. Regardless of whether the principal chooses Adam then Bernie then Carla or Carla then Adam then Bernie, etcetera, the same three teachers are still being chosen.

Thus, we must divide by the number of ways you can rearrange three distinct teachers, which is [tex]3![/tex].

Therefore, the desired answer is [tex]\frac{24360}{3!}=\frac{24360}{6}=\boxed{4,060}[/tex]

Answer:

- 6

Step-by-step explanation:

Given the integers : 12,-6,8,-5,7,-4,3

To obtain which one falls on the extreme left, the integers are arranged in ascending order, and the least value is chosen as this is the number which falls to the extreme left of arranged on a number line.

Ordered value in ascendibg order :

-6, -5, -4, 3, 7, 8, 12

The value which will. Fall. On the extreme left is : - 6

Answer:

Ummmm its just a black screen

Step-by-step explanation:

Answer: [tex]1\ \text{Pizza}\ \text{and}\ \dfrac{5}{16}\ \text{pizza}[/tex]

Step-by-step explanation:

Given

Mr. Caldwell has 10 full pizzas and half of another one

he wants to distribute it in among 8 of his students

Total pizzas are [tex]10+\frac{1}{2}=\frac{21}{2}[/tex]

So, each student gets

[tex]\Rightarrow \dfrac{\dfrac{21}{2}}{8}\\\\\Rightarrow \dfrac{21}{16}\ \text{or}\ 1\dfrac{5}{16}[/tex]

that is 1 pizza and five-sixteenth part of a pizza.

==================================================

Explanation:

Think of a whole cake or pizza. Now slice it into 4 equal pieces. This represents 1 is the same as 4/4.

Adding on another quarter slice gets us 4/4+1/4 = 5/4

In other words, the mixed number 1 & 1/4 is the same as the improper fraction 5/4.

So 1 & 1/4 = 5/4

This then means -1 & 1/4 = -5/4 because we multiply both sides by -1.

Now we'll add on 1/2, which is the same as 2/4, like so

(-1 & 1/4) + 1/2

-(1 & 1/4) + 2/4

-(1 + 1/4) + 2/4

-1 - 1/4 + 2/4

-1 + (-1/4 + 2/4)

-1 + 1/4

-4/4 + 1/4

-3/4

which points us to choice C as our final answer

Notice how if we started at -5/4, and moved to the right 2 tickmarks, we arrive at -3/4. Each tickmark represents 1/4 of a unit, so two of them is 2/4 = 1/2.

Side note: -3/4 converts to the decimal -0.75

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

6400(1+i)³=8334

(1+i)³=1.3021875

∛(1+i)³=∛(1.3021875)

1+i= 1.092

i= .092

I guess if you were to round to 1 decimal point it'd be .1

Answer:

seven and fifty-two thousandths as a decimal

Step-by-step explanation:

7.52

Your answer should be 7.052

The and represents the decimal point, meaning that 7 is in the ones places, and the decimals go in the following order:

tenths, hundredths, thousandths, and so on. Because the 52 was in the thousandths place, that’s where the 2 goes, and the 5 is in the hundredths place. I hope this helped you

Answer:

4/3 ÷ 2/5

= 4/3 × 5/2

= 4×5/3×2

= 20/6

= 10/3 = 3  1/3 or 3.3333

Answer: The answer is y= f(x+1)+5

Step-by-step explanation: The reason is that when you are translating the graph, the information in the parenthesis (In this case: (x+1)) is always on the x axis moving either left or right. You just go one in the opposite direction of what the sign is, so since the sign in the parenthesis is "+" you would go left in the opposite direction. Then, for the upward translation, you would have to move 5 units upward and this is done by just adding five to the end of it.

Answer:

[tex]A=P (1 + \frac{r}n)} ^{nt}[/tex]

A = 500(1 + .028/1)^ (3*1)

$543.19

Step-by-step explanation:

Answer: 1600g

Step-by-step explanation: (4 * 2kg) / 5 = 8/5kg

8/5kg = 1.6kg

1.6kg * (1000g / 1kg) = 1600g

Answer:

1 3/5kg.

Step-by-step explanation:

So, to figure this out, lets go over what we know.

There is 2kg.

We need to find 4/5 of this.

A way you can think of this is 2kg*4/5. Or:

2*4/5

Remember, all whole numbers have a denominator of 1. So this is:

2/1*4/5

Or

[tex]\frac{2}{1} *\frac{4}{5}[/tex]

When doing multipaction, the numerator multipies hte numeraot, and the denominator multiplies the denominator.

So in the numerator, it will be 2 times 4:

2*4=8

And in the denominator, it will be 1 times 5:

1*5=5

So the answer is:

8/5

Hope this helps!

Answer:

The probability that a customer selected at random has an Apple device or own a smartphone or both is 0.94

Step-by-step explanation:

The percentage of costumers that have a device made by Apple = 60%

The percentage of customers that own a smartphone = 85%

The percentage of customers that use Venmo = 80%

The percentage out of the smartphone users that use Venmo = 80%

The probability both independent events A and B occurring = P(A) × P(B)

The exclusive probability of A or B occurring P(A XOR B) = P(A) + P(B) - 2 × P(A ∩ B)

Therefore, the probability of A or B or both occurring is given as follows;

P(A or B or Both) = P(A) + P(B) - 2 × P(A ∩ B) + P(A) × P(B)

Where A represent the percentage of costumers that have a device made by Apple and let B represent the percentage of users that have a smartphone, we have;

P(A or B or Both) = 0.6 + 0.85 - 2×0.6×0.85 + 0.6 × 0.85 = 0.94

Therefore, the probability that a customer selected at random has an Apple device or own a smartphone (or both), P(A or B or Both) = 0.94

Answer: 28 hours

Step-by-step explanation:

1. Write original equation: 7.15x=3.40x+105

2. Combine like terms to isolate x: 3.75x=105

3. Divide both sides by same amount to find x: x=28

They would have to work 28 hours to earn the same amount of money.

Answer:

Nope it isn't linear.

Step-by-step explanation:

Use a coordinate plane. The slope is y = -4x+12. if you plug that in, you will get all of the lines correctly

for instance you put 2,4

4 = -4(2)+12

4 = -8+12

that is true

but if you put in (5,-1)

-1 = -4(5)+12, which is not true

if all of them is true, then it would be true.

if even ONE of them is not true, then the who line is not linear

Answer:

i think it will be chose 3 times

Step-by-step explanation:

im not sure thats my pridiction

Answer:

0.4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

f(-8)=-2(-8)-12

f(-8)=16-12

=4

Answer:

RO = 17.9

Step-by-step explanation:

If they're similar, the fraction between their sides need to be equal, so do this:

NK/NM = RO/RQ

71.6/64 = RO/16

71.6•16/64 = RO

RO = 17.9

Answer:20.75

Step-by-step explanation:

Trust me gangsta

Answer:

every other student who enters the school

Step-by-step explanation:

It is given that the middle school students have an average height of 5.25 feet. The students belongs to Seton Grove School.

It means that every student who comes to this school or enters the school has a height that is around 5 feet or more.

Thus we can say that every other student who enters the school has a average height of 5.25 feet.

This sample makes the generalization about the heights of the school students valid.

Answer:

c

Step-by-step explanation:

correct on edmentum / plato