Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of the remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300\text{ mL}300 mL300, start text, space, m, L, end text of cherry juice.

Answer:

105°

Solution,

[tex]let \: < def \: be \: x \\ x + 28 + 47 = 180 \\ or \: x + 75 = 180 \\ or \: x = 180 - 75 \\ x = 105 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

The total angle of a triangle is 180°. Using this we can find the angle DEF(x).

180=28+47+x

180=75+x

180-75=x

105=x

SO angle DEF=105°

Hope it helps!!

Answer:

2 2/9

Step-by-step explanation:

So I'm sure you've heard of KCF (Keep, flip, change). So first to make things easier, make 1 7/9 an improper fraction, which is 16/9. And you keep it that way, but you flip 4/5, which will become 5/4. The division sign will become a multiplication sign. The F in KCF was FLIP, to flip the fraction. The C was to change the operation. The K was to keep the first fraction. Anyways, you have to do numerator x numerator and denominator x denominator when multiplying fractions, so 16 x 5 is 80, and 9 x 4 is 36. 36 can go into 80 2 times, so it'll be 2 8/36. But to simplify it, both can be divided by 4, so 8 divided by 4 is 2 and 36 divided by 4 is 9

And that is how to do it.

Answer: 2 8/36 or 2 2/9 (simplified)

HOPE THIS HELPS :)))

Answer:

169.7

Step-by-step explanation:

first lets find the other side of the small triangle

cos(30 degrees)=(7*sqrt (3))/x

x*cos(30 degrees)=7*sqrt (3)

x=(7*sqrt (3))/cos(30 degrees)

x=14

14/14=1

so proportion is 1/1

thus the bottom the outer part of the triangle is also 7*sqrt(3)

now, for the area

lets find the 2 side length of the triangle we need

DE: 14+14=28

DF: 7*sqrt(3)+7*sqrt(3)=14*sqrt(3)

let's find EF,

sin(30 degrees)=x/28

x/28=sin( 30 degrees)

x=28*sin( 30 degrees)

x=14

A=(14*sqrt(3))*14*0.5

A=(14*sqrt(3))*7

A= around 169.7

Answer:

≈169.7

Step-by-step explanation:

cos30 = (7[tex]\sqrt{3}[/tex])/x

x= (7[tex]\sqrt{3}[/tex])/cos30 = 14

h = 14+14 = 28

sin30 = EF/28

EF = sin30 * 28 = 14

tan30 = 14/DF

DF = 14/tan30 ≈ 24.248

Area = 24.248*14/2 ≈ 169.74 ≈ 169.7

Answer:

Step-by-step explanation:

We can use combinations

20 choose 4:

20!/(16!*4!)

= (20*19*18*17)/4!

= 4845

Answer:

B

Step-by-step explanation:

The slope is negative since the line decreases from left to right. This means  that the slope is -1/3.

Answer:

10

Step-by-step explanation:

By the Pythagorean Theorem:

[tex]c=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10[/tex]

Hope this helps!

Answer:

1/3

is the answer

please mark me as a brainliest

Answer: b) The data is spread close to the mean

Step-by-step explanation: Theoretically, when the standard deviation of a statistical data is large or high, it simply means that the values in such statistical data set are farther away from the mean, On the other hand when the standard deviation is small or low, it simply means that the values of such statistical data are close to the mean of those data on average.

Therefore Judy's low standard deviation for her project simply indicates that her statistical data set is spread close to the mean.

Answer:

see explanation for answers

Step-by-step explanation:

prism = 12*4 + 5*4 + 12*4 + 5*4 + 12*5 + 12*5 = 256 ft²

lateral surface area of pyramid = 4*1/2*5*5 = 50 ft²

area of square base of the pyramid = 5*5 = 25 ft²

total exposed surface area of the figure = 256 + 50 - 25 = 281 ft²

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

To figure out if something is increasing or decreasing, you must read the graph from left to right. If it appears to be going down, then it is decreasing. When it appears to be to be going up, it is increasing. For both A & B, the graph is decreasing. When you look from when the x-values are between 2.5 and 3.5, you can see the line going down. That means it is decreasing.

I hope this helps!

Answer:

SSS postulate because three sides of a triangle are are congruent

Answer:

SSS

It is SSS because it is the end of the proof.

Answer:

C

Step-by-step explanation:

4/2 =2

12/6 =2

20/10 =2

Answer:

Chris' initial investment is $5000. The interest rate is 2% quarterly for 4 years.

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

Slope is change in x over change in y

so..

2-(-4)

over

-1-11

so...

-6/12 or -1/2

Answer:

[tex]7(x + 3)[/tex]

Step-by-step explanation

thinked number = x

add 3 = +3

[tex]x + 3[/tex]

multiply the result by 7

[tex]7( x+ 3)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

[tex]x^{7}[/tex]

Step-by-step explanation:

= [tex]x^{5} * x^{2}[/tex]

When bases are same, powers are to be added

= [tex]x^{5+2}[/tex]

= [tex]x^{7}[/tex]

Answer:

Brainliest here!

Step-by-step explanation:

3 dozen cookies = 1.5 cups

one dozen cookies= 0.5 cups

5 dozen cookies = 2.5 cups of sugar

Answer:

12/36 = 1/3

Step-by-step explanation:

draw a possibility diagram or table where you get the possible outcomes. 1 to 6 along the bottom and 1 to 6 across.

you will results such as 11 12 13 14 15 16

21 22 23 24 25 26

and so on.

Then, you total up each of them and will get

2 3 4 5 6 7 from the first row

3 4 5 6 7 8 from 2nd row

and so on.

from the final results, count how many are multiples of 3.

we should get 12 and over total possible outcomes which is 36, since it's a 6 by 6 table.

Answer:

x = log(5) / log(3)

x=1.46497

Step-by-step explanation:

3^x - 5 =0

Add 5 to each side

3^x = 5

Take the log of each side

log 3^x = log 5

We know log a^b = b log (a)

x log (3) = log (5)

Divide side by log (3)

x = log(5) / log(3)

x=1.46497

The answer is 2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment...

Answer:

The truck can not safely pass under the bridge

Step-by-step explanation:

The maximum height in inches is 149in.

12 feet times 12 inches = 144 in

144 +5 = 149in

If the truck is 162 inches than it would not be safe for it to pass under the bridge.

I hope this helps you!

Answer:a

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

Pythagorean theorem.

a^2+b^2=c^2.

2^2+3^2=d^2

Answer:

BC = 60

Step-by-step explanation:

3X + X = 80      <---- X = BC

3X + X = 4X

4X = 80   <---- DIVIDE BOTH SIDES BY 4

4X ÷ 4 = X

80 ÷ 4 = 20

20 × 3 = 60

Answer:

AB = 20 m

BC = 60 m

Step-by-step explanation:

Let AB be x

So BC becomes 3x

AC is 80 metres

So,

x+3x = 80

4x = 80

Dividing both sides by 4

x = 20

So,

AB = 20 metres

While

BC = 3(20) = 60 metres

Answer: to make AB perpendicular to CD move point B until the angle between the lines, BEC measures 90 degree

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

(100 - 20) / 10 = 8

Answer: He has to take a class per month from the both pros

Step-by-step explanation:

Answer:

El recolector recoge un total diario de 50 kilogramos.

Step-by-step explanation:

(The following problem is written in Spanish and for such reason explanation will be held in the same language)

La masa total diaria recogida es igual al número de cajas recogidas por día y la capacidad de la caja. Entonces:

[tex]m = n \cdot m_{unit}[/tex]

[tex]m = (4\,cajas)\cdot \left(\frac{25}{2}\,\frac{kg}{caja} \right)[/tex]

[tex]m = 50\,kg[/tex]

El recolector recoge un total diario de 50 kilogramos.

Its c, as x increases y increases and then decreases

k = 13The smallest zero or root is x = -10

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

Steps:

note: you can write "x^2" to mean "x squared"

f(x) = x^2+3x-10

f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5

f(x+5) = (x^2+10x+25)+3(x+5)-10

f(x+5) = x^2+10x+25+3x+15-10

f(x+5) = x^2+13x+30

Compare this with x^2+kx+30 and we see that k = 13

Factor and solve the equation below

x^2+13x+30 = 0

(x+10)(x+3) = 0

x+1 = 0 or x+3 = 0

x = -10 or x = -3

The smallest zero is x = -10 as its the left-most value on a number line.

Please mark brainliest

Hope this helps.