Joshua has a rectangular work table. The sides of the table are 40 inches by 25 inches. What is the length of the diagonal of the table.

Answer:

Its is 85

Step-by-step explanation:

It is 85 because you need to see out of all of those numbers which one is one is in the middle so just mark one number from each side untill you get to the middle number!

Answer:

c

Step-by-step explanation:

Answer:

Ana tiene 27 años mientras que Carlos, tiene 69 años

La suma de las edades es: 27+69 = 96

La suma de las cifras de este resultado es 9+6 = 15

Step-by-step explanation:

Vamos a hacer una linea temporal para ubicarnos en tiempo.

AÑO 2021, Ana tiene una edad A mientras que Carlos tiene una edad C

15 años para adelante

AÑO 2036, la edad de Carlos es el doble de la de Ana

C = 2A

Si nos vamos 6 años para atrás

AÑO 2015, la edad de Carlos es el triple de la de Ana

C = 3A

Como de 2015 a 2036 pasan 21 años, podemos plantear que

La edad de Carlos + 21  va a ser 2 veces la edad de Ana, traducido:

C + 21 = 2A, pero en 2015, ya sabemos que la edad de Carlos es el triple de la de Ana, entonces:

3A + 21 = 2A. Si despejamos:

3A - 2A = -21

A = |21|  Ésta es la edad de Ana. (Ponemos valor absoluto porque una edad no puede ir negativa.

Si Ana en 2014 tiene 21 años, Carlos tiene 63 (el triple) por lo que sumamos 6 años y llegamos al presente:

En 2021, Ana tiene 27 años (21+6), mientras que Carlos tiene 69 (63+6). Edades actuales.

Nos corremos 15 años al futuro, por lo que llegamos al año 2036.

Carlos pasa a tener 84 años (69+15) y Ana, 42 (27+15) donde verificamos que la edad de Carlos, es el doble que la de Ana, 84/42 = 2.

Finalmente la suma de las edades es: 27+69 = 96

La suma de las cifras de este resultado es 9+6 = 15

Step-by-step explanation:

-2(x + 3) = 2x - (5 – x)

-2x+6= 2x-5+x

-2x+6=3x-5

-2x-3x=-5-6

-5x=-11

x= 11/5

( 1 solution)

Answer:

Solution given:

-2(x + 3) = 2x - (5 – x)

-2x-6=2x-5+x

-6+5=2x+2x+x

5x=-1

x=[tex] \frac{-1}{5} [/tex]

It has one Solution.

Answer:

2 1/2 cup cheese

2 1/2 cup milk

10 potatoes

Step-by-step explanation

take half of each and multiply it by 5

Answer:

33

Step-by-step explanation:

3n but n is 11 means 3x11

Answer:

3n = 33 when n = 11

Step-by-step explanation:

n = 11

therefore

3(11)

which means 3 times 11

Answer = 33

Hope this helps!

Answer:

Option B.

Step-by-step explanation:

For a function f(x), the domain is the set of all the possible values of x that can be used in the function.

We know that the natural logarithm is only defined for positive real numbers.

So, the function:

Ln(x + 2)

Works always that

x + 2 > 0

So we can just solve this inequality for x, and that will give us the domain of the function.

To isolate x, we just need to subtract 2 in both sides of the inequality.

x + 2 - 2 > 0 - 2

x > - 2

This is the domain of the function.

The correct option is B.

Answer:

b.x>-2

Step-by-step explanation:

edge 2021

Answer:

Your answer would be C: occurred during the same period of time

Step-by-step explanation:

Answer:

y = 85°

z = 35°

x = 60°

Step-by-step explanation:

y) 180 - 120 = 60, therefore:

180 - (35 + 60)

=> y = 85

z)

=> z = 35

x)

180 - (35 + 85)

=> x = 60

Hope this helps!

Answer:

to find y

you find the bottom right angle

which is 180-120 = 60

then you do 60+35 = 95

then 180 -95 because the sum of all angles in a triangle is 180

so the answer is 85 = y

There is a rule where the alternate angles between the parallel lines are identical

if y = 85 that means that the angle next to 35 is 85

same for angle z, if the top right 35, that means that angle z = 35

Now you add 35 + 85 = 120

180 - 120 = 60 = angle x

In summary

x=60

y=85

z=35

Hope that answers your question

Don't hesitate to leave a comment if you are confused about something

Step-by-step explanation:

Answer:

[tex]\begin{array}{ccccc}{} & {1} & {2} & {3} & {4} & {1} & {2} & {3} & {4} & {5} & {2} & {3} & {4} & {5} & {6} & {3} & {4} & {5} & {6} & {7} & {4} & {5} & {6} & {6} & {8} \ \end{array}[/tex]

Step-by-step explanation:

Given

[tex]Spinner = \{1,2,3,4\}[/tex]

Array:

[tex]\begin{array}{ccccc}{} & {1} & {2} & {3} & {4} & {1} & {} & { } & { } & {5} & {2} & { } & {} & { } & { } & {3} & {4} & { } & {} & { } & {4} & { } & {6} & { } & {} \ \end{array}[/tex]

Required

Complete the blanks

To do this, we simply add up corresponding row and column elements.

[tex]\begin{array}{ccccc}{} & {1} & {2} & {3} & {4} & {1} & {} & { } & { } & {5} & {2} & { } & {} & { } & { } & {3} & {4} & { } & {} & { } & {4} & { } & {6} & { } & {} \ \end{array}[/tex]

So, we have:

[tex]\begin{array}{ccccc}{} & {1} & {2} & {3} & {4} & {1} & {1+1} & {1+2 } & {1+3 } & {4} & {2} & {2+1 } & {2+2} & {2+3 } & {2+4 } & {3} & {4} & {3+2 } & {3+3} & {3+4 } & {4} & {4+1 } & {6} & {4+3 } & {4+4} \ \end{array}[/tex]

Add

[tex]\begin{array}{ccccc}{} & {1} & {2} & {3} & {4} & {1} & {2} & {3} & {4} & {5} & {2} & {3} & {4} & {5} & {6} & {3} & {4} & {5} & {6} & {7} & {4} & {5} & {6} & {6} & {8} \ \end{array}[/tex]

Answer:

[tex]4\sqrt{14} q^{2}[/tex]

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

shah

:) hope this helps!

Answer:

x = 11

Step-by-step explanation:

Since we are given triangle PQR is similar to triangle PTU, we can write a proportion to connect the side lengths:

PQ / PT = QR / TU = PR / PU

We don't really care about QR and TU because the are irrelevant to the problem, so we can remove them:

PQ / PT = PR / PU

Now, we can substitute the values given by the diagram:

70 / 30 = 49 / (x + 10)

We can cross multiply,

70(x + 10) = 30 * 49

And divide by 70 on both sides(too lazy to multiply :P)

x + 10 = 3 * 7

x + 10 = 21

x = 11

Answer:

B

Step-by-step explanation:

Since the value of a is less than 0, the graph of the parabola would be opening downwards. Because of this we can rule out option C. In a quadratic equation, c represents the y-intercept, and, in this case c is negative, meaning the y-intercept is less than 0. Only option B has a downward-opening curve and a y-intercept less than 0, so it is the answer.

Answer:

B. Graph B

--------------------

hope it helps...

have a great day!!!

The value of coefficient of correlation coefficient is -0.953 which is a negative correlation between x and y option (A) is correct.

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

We have given data in the table.

As we know, the formula for the correlation is given by:

[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]

After plugging the value, we will get the value of r:

r = -0.953

Thus, the value of coefficient of correlation coefficient is -0.953 which is a negative correlation between x and y option (A) is correct.

Learn more about the correlation here:

brainly.com/question/11705632

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Answer:

I may be wrong but I think it's 90 I may be wrong but hey I tryed.

Step-by-step explanation:

Answer:

C is infact correct

Step-by-step explanation:

Give guy above brainly

The experimental probability in simplest form that the number cube shows 6 will be 3/10.

Probability is a branch of mathematics that deals with the occurrence of a random event.

According to the question

Dave rolled a number cube 10 times and recorded the frequency of each result in this table.

From the table it can be seen that the frequency of rolling a 6 is 3 and the probability of the event occuring is 1/6

so ,

The experimental probability in simplest form that the number cube shows 6 will be

= Frequency / No. of times the dice is rolled

= 3/10

The experimental probability in simplest form that the number cube shows 6 will be 3/10.

To know more about Probability

https://brainly.com/question/11234923

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Answer:

7.5 units2

[tex]area = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 3 \times 5 \\ = 7.5 \: sq \: units[/tex]

Answer:

n(U)=30

n(H)=15

n(G)=18

n(H ∪ G)'=5

n(H ∪ G)=n(U)-n(H ∪ G)'

             =30-5=25

So ,n(H ∩ G)=n(H)+n(G)-n(H ∪ G)

                    =15+18-25=8

Therefore, 8 students take both subjects.

A set is a mathematical model for a collection of diverse things. The total number of students who who take both History and Geography is 8.

A set is a mathematical model for a collection of diverse things; it comprises elements or members, which can be any mathematical object: numbers, symbols, points in space, lines, other geometrical structures, variables, or even other sets.

Given that there are 30 students in a class. of those, 15 take history, 18 take geography, and 5 take neither of these subjects. Therefore, we can write the following values,

Now, the number of students who take at least one of the two subject can be written as,

Students who choose at least one subject

= Total students - Students who take neither of the subject

n(H ∪ G) = n(U) - n(H ∪ G)'

n(H ∪ G) = 30 - 5

              =25

Further, the total number of students who who take both the subjects can be written as,

Students who take both the subjects = Students who take History + Students who take Geography - Students who choose at least one subject

n(H ∩ G) = n(H) + n(G) - n(H ∪ G)

n(H ∩ G) = 15 + 18 - 25

n(H ∩ G) = 8

Hence, the total number of students who who take both History and Geography is 8.

Learn more about Sets here:

https://brainly.com/question/8053622

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Answer:

already did

Step-by-step explanation:

Answer:

you us the equation given and plot points in the graph that are given with the equation.

Answer:

4(4x1-16)

Hope this helps

Have a good day :)

PS I disibuted 4 to 4x1 to get 16 and 4 to -16 to get -64

Step-by-step explanation:

Answer:

16.28 squared inches

Step-by-step explanation:

Use the formula A = bh.

b = base

h = height

A = (4.4) (3.7)

A = 16.28

There are 9 candies in total, with 5 being orange. Think of it. For the first grab, you have a 5/9 chance of it being orange flavored. Now there are 4 orange flavored candies, and 8 total candies in the bag. Grabbing a second candy, Billy has a 4/8 chance of grabbing an orange flavored candy. So your two fractions are...

5/9, 4/8

Can you combine these two fractions for a final answer?

Answer:

using Pythagoras theorem x=32.7

Answer:

21.7

Step-by-step explanation:

In order to solve this problem, we can use trig functions. We are given the side adjacent to the 37° given and we are looking for the hypotenuse. This means that cosine function is the most suitable. Cosine is written as:

cos(θ°) = adjacent / hypotenuse

We can substitute the values we have:

cos(37°) = 17.3 / x

And rewrite the expression:

x = 17.3 / cos(37°)

Then, use a calculator to evaluate:

x = 21.66194689

This can be rounded to 21.7

Answer:

Step-by-step explanation:

r=5 ×90/100=4.5 in

h=6×90/100=5.4 in

a.

volume of original cylinder=π×5²×6=150 π≈471.24 in³

b.

volume of new cylinder=π×4.5²×5.4=109.35 π in³≈343.53 in ³

c.

decrease in volume=150 π-109.35 π=40.65π

% decrease=(40.65 π)/150 π×100=4065/150=1355/50=27.1 %