A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the volume of the delivery box to be 360 cubic inches. If the width of the delivery box is 3 inches longer than the length and the height is 4 inches longer than the length, what must the length of the delivery box be?
2 inches
5 inches
8 inches
9 inches

Answer:

d) 2.0 * 10⁸

Step-by-step explanation:

199,792,458  ≈ 200,000,000 = 2.0* 10⁸

Answer:

[tex]x < 0[/tex]

Step-by-step explanation:

[tex] - 4x - 8x > 0[/tex]

➡️ [tex] - 12x > 0[/tex]

➡️ [tex]x < 0[/tex]

Answer:

23 just took the test

Step-by-step explanation:

Answer:

B(5,-1)

Step-by-step explanation:

So, x1=1 and x2=x. And y1=-3 and y2=y.

So,

(1+x)/2=3, then manipulating it gives x=5.

And,

(-3+y)/2=-2, then manipulating the equation gives y=-1.

Hence B(5,-1)

Answer:  The guage block height is 4.98 m

The base of the right triangle that is formed is 7.3784 m

The last angle in the triangle is 56 degrees

Step-by-step explanation:

Redraw the triangle formed in the picture and use H for the hypotenuse, O for the block height, and A for the base.  Now we can use trig (SOHCAHTOA) to find the answaers.

Using sine, we can first find the gauge block height, O (Opposite).  Given the Hypotenuse (H) is 8.9 m, we can use the definition of the sine of an angle to find the height, O.

Sine(34) = Opposite/Hypotenuse (O/H), or O = H*Sine(34)

O = (8.9)*(0.5592)

O = 4.98 m, the height of the gauge block,

The base of the triangle, A, can be determined with cosine.

Cosine(34) = A/O, or A = Cosine(34)*O

A = (0.82904)*(8.9)

A = 7.3784 m

The sum of all angles in a triangle is 180 degrees.  

180 = X + 34 + 90

X = 56 degrees

Answer:

First, the dropdown is 9. Second, put in 9. The answer is 81.

Step-by-step explanation:

10* what equals 90? Well, let's do 90/10, our answer is 9. Then We are given 1 nine or 9 to put on the second slot. Our answer would be 90-9, or 81. Khan Academy is teaching you how to multiply.

Answer:

[tex]9 \times 9 = 10nines - 1nine \\ 9 \times 9 = 90 - 9 \\ 9 \times 9 = 81 \\ than \: you[/tex]

Answer:

a = 3

Step-by-step explanation:

2(a−4)+15=132

a−8+15=132

a=13−15+82

a=6

a=6/2

a=3

Answer:

A-96

B-144

C-192

:) have a nice rest of your day!

Step-by-step explanation:

Answer:

5(n+7) = 8

Step-by-step explanation:

this is the equation you are look for if its the value of n it would be -27/5

Answer:

Step-by-step explanation:

5(x + 7) = 8

x + 7 = 8/5

x = 8/5 - 7 = -27/5 = -5.4

Answer:

Step-by-step explanation:

Take out a common factor (x)

x ( 1 - 0.10 )                

Now do the subtraction

0.90x

Answer:

Slope: 7/5

y intercept: (0,3)

Step-by-step explanation:

Answer:

537/100s.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The correct answer is B, because you have -4 +(-6)+(-2) which is really just

-4-6-2 which is -12. Think of it as getting rid of the plus sign and just leaving the negative sign. Which this would make the answer to the equation be -12, but for the answer of the question, it would be B because it is accumulating the drops in temperatures making the numbers go down in temperature, therefore making them negative.

A is not the answer because although it is similar to letter B, the difference is the final sentence, "What was the overall change in temperature?" Since -4 is listed as the pre-existing temperature, that would make -6 - 2 be equal to negative eight (-8).

C is not the answer because it includes a temperature rising by 18 degrees.

D is not the answer either because it is saying the temperature rose, which is shouldn't have risen.

The only time C and D could be right, is if they included bigger number that equaled out to negative twelve (-12), like saying the temperature rose 18 degrees, but fell by 26 degrees by midnight, that would make the equation look like -4 + 18 - 26 = - 12

Even in that case, C and D would be wrong immediately because of the use of numbers outside of the expression given.

Hope this helps!

Factors for 3: 1 and 3

Factors for 5: 1 and 5

Factors for 14: 1, 2, 7, and 14

Answer:

1

Step-by-step explanation:

Factors for 3: 1 and 3  

Factors for 5: 1 and 5  

Factors for 14: 1, 2, 7, and 14

Since 1 is the greatest common factor in 3,5,14 ,

GCF = 1

Answer:

[tex] \sqrt{45 {x}^{2} } + \sqrt{5 {x}^{2} } + 4x \sqrt{5} \\ = 3 \sqrt{5} x + \sqrt{5} x + 4x \sqrt{5} \\ = 8x \sqrt{5} \\ thank \: you[/tex]

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The y intercept occurs when x = 0.

All you have to do is read the table until you come to x = 0.

When you do, read down to get the y value.

The answer is A (0,2)

Answer: The bill with a discount is $18.59

Step-by-step explanation:

Given information

2 boxes of $3.49 cereal

3 cartons of $2.99 ice-cream

6 packs of $1.99 soda

1/3 discount off total bill

Given expression

Bill = (1 - 1/3) (2 × 3.49 + 3 × 2.99 + 6 × 1.99)

Simplify values in parentheses

Bill = (2/3) (6.98 + 8.97 + 11.94)

Simplify by addition

Bill = (2/3) (27.89)

Simplify by multiplication

Bill = $18.59 (Rounded to the nearest hundredth because the usual money ends in nearest cent)

Hope this helps!! :)

Please let me know if you have any questions

The Sequence:

1 , 1+2 , 1+2+3 , 1+2+3+4, ...

here, every term is an AP. finding the general formula for the sum of the elements of each term is:

Sₙ = [tex]\frac{x}{2}(2a + (x-1)d)[/tex]        [where x = number of term, a = first term and d = common difference]

here, the first term is always 1 and so is the common difference.

Sₙ = [tex]\frac{x}{2}(2 +x-1)[/tex]

Sₙ = [tex]\frac{x}{2}(1 +x)[/tex] = [tex]\frac{1}{2}(x + x^{2})[/tex]

which is the formula for a general term in our series

now, we need to find the sum of the first n terms of this series

[tex]\displaystyle\sum_{x=1}^{n} [\frac{1}{2}(x + x^{2})][/tex]

[tex]\displaystyle\frac{1}{2} [\sum_{x=1}^{n} (x) + \sum_{x=1}^{n}(x^{2})][/tex]

in this formula, for the first term, it's just an AP from x = 1 to x = n

for the second term, we have a general formula [tex]\frac{n(n+1)(2n+1)}{6}[/tex]

[tex]\frac{1}{2}[\frac{n}{2}(2a + (n-1)d)+ \frac{n(n+1)(2n+1)}{6} ][/tex]

in this AP (first term), the first term and the common difference is 1 as well

[tex]\frac{1}{2}[\frac{n}{2}(2 + n-1)+ \frac{n(n+1)(2n+1)}{6} ][/tex]

[tex]\frac{1}{2}[\frac{n}{2}(n+1)+ \frac{n(n+1)(2n+1)}{6} ][/tex]

[tex][\frac{n}{4}(n+1)+ \frac{n(n+1)(2n+1)}{12} ][/tex]

[tex]\frac{n}{4}(n+1) [1+\frac{(2n+1)}{3} ][/tex]

[tex]\frac{n}{4}(n+1) [\frac{(3+2n+1)}{3} ][/tex]

[tex]\frac{n}{4}(n+1) [\frac{(2n+4)}{3} ][/tex]

[tex]\frac{n}{2}(n+1) [\frac{(n+2)}{3} ][/tex]

[tex]\frac{n(n+1)(n+2)}{6}[/tex]

which is the sum of n terms of the given sequence

Answer:

TR = 23

Step-by-step explanation:

first we have to find TS, so we subtract 16 from 4 to get 12. then we can add 12 and 11 to get TR

Answer:

10 inches

Step-by-step explanation:

radius = 5 inches

Diameter = radius x 2 = 5 x 2 = 10 inches

Answer:

hope it helps, appreciate if you can give brainliests

Answer:

The united nations flag the translation can be any of the blue triangles and the reflection if the flag itself as it is symmetrical

Step-by-step explanation:

The united nations flag the translation can be any of blue triangles and the reflection if the flag itself as it is symmetrical.

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.

If we study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

If you're reflecting a point (x,y) along x axis, then its abscissa will stay same but ordinates will negate. Thus (x,y) turns to (x, -y)

Similarly, if you're reflecting a point (x,y) along y axis, the resultant image of the point will be (-x,y)

Therefore, The united nations flag the translation can be any of blue triangles and the reflection if the flag itself as it is symmetrical.

Learn more about reflection;

https://brainly.com/question/12950057

#SPJ2

Answer:

semoga jawapan ini dapat membantu

Answer:

purple.orang.blue.yellow and green

purple.orang.blue.yellow and green

Answer:

63

Step-by-step explanation:

6x + 3y - 9

x = 6

y = 9

6(6) + 3(9)

36 + 27

= 63

Answer:

5(x+4)

Step-by-step explanation:

It's basically asking for the sum of a number and four to be multiplied by 5. Since the sum is made up of the unknown number and four, you'd put four and the unknown number in parenthesis while putting five on the outside, making it 5(x+4).

Answer:

[tex]tan(\theta)=\frac{\sqrt{21}}{3}[/tex]

Step-by-step explanation:

1. Approach

One is given the following information:

[tex]cos(2\theta)=-\frac{2}{5}[/tex]

One can rewrite this as:

[tex]cos(2\theta)=-0.4[/tex]

Also note, the problem says that the angle ([tex]2\theta[/tex]) is found in the third quadrant.

Using the trigonometric identities ([tex]cos(2\theta)=2(cos^2(\theta))-1[/tex]) and ([tex]cos(2\theta)=1-2(sin^2(\theta))[/tex]) one can solve for the values of ([tex]cos(\theta)[/tex]) and ([tex]sin(\theta)[/tex]). After doing so one can use another trigonometric identity ([tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]).  Substitute the given information into the ratio and simplify.

2. Solve for [tex](cos(\theta))[/tex]

Use the following identity to solve for ([tex]cos(\theta)[/tex]) when given the value ([tex]cos(2\theta)[/tex]).

[tex]cos(2\theta)=2(cos^2(\theta))-1[/tex]

Substitute the given information in and solve for ([tex]cos(\theta)[/tex]).

[tex]cos(2\theta)=2(cos^2(\theta))-1[/tex]

[tex]-0.4=2(cos^2(\theta))-1[/tex]

Inverse operations,

[tex]-0.4=2(cos^2(\theta))-1[/tex]

[tex]0.6=2(cos^2(\theta))[/tex]

[tex]0.3=cos^2(\theta)[/tex]

[tex]\sqrt{0.3}=cos(\theta)[/tex]

Since this angle is found in the third quadrant its value is actually:

[tex]cos(\theta)=-\sqrt{0.3}[/tex]

3. Solve for [tex](sin(\theta))[/tex]

Use the other identity to solve for the value of ([tex]sin(\theta)[/tex]) when given the value of ([tex]cos(2\theta)[/tex]).

[tex]cos(2\theta)=1-2(sin^2(\theta))[/tex]

Substitute the given information in and solve for ([tex]sin(\theta)[/tex]).

[tex]cos(2\theta)=1-2(sin^2(\theta))[/tex]

[tex]-0.4=1-2(sin^2(\theta))[/tex]

Inverse operations,

[tex]-0.4=1-2(sin^2(\theta))[/tex]

[tex]-1.4=-2(sin^2(\theta))[/tex]

[tex]0.7=sin^2(\theta)[/tex]

[tex]\sqrt{0.7}=sin(\theta)[/tex]

Since this angle is found in the third quadrant, its value is actually:

[tex]sin(\theta)=-\sqrt{0.7}[/tex]

4. Solve for [tex](tan(\theta))[/tex]

One can use the following identity to solve for [tex](tan(\theta))[/tex];

[tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]

Substitute the values on just solved for and simplify,

[tex]tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]

[tex]tan(\theta)=\frac{-\sqrt{0.7}}{-\sqrt{0.3}}[/tex]

[tex]tan(\theta)=\frac{\sqrt{0.7}}{\sqrt{0.3}}[/tex]

[tex]tan(\theta)=\frac{\sqrt{\frac{7}{10}}}{\sqrt{\frac{3}{10}}}[/tex]

Rationalize the denominator,

[tex]tan(\theta)=\frac{\sqrt{\frac{7}{10}}}{\sqrt{\frac{3}{10}}}[/tex]

[tex]tan(\theta)=\frac{\sqrt{\frac{7}{10}}}{\sqrt{\frac{3}{10}}}*\frac{\sqrt{\frac{3}{`0}}}{\sqrt{\frac{3}{10}}}[/tex]

[tex]tan(\theta)=\frac{\sqrt{\frac{7}{10}*\frac{3}{10}}}{\sqrt{\frac{3}{10}*\frac{3}{10}}}[/tex]

[tex]tan(\theta)=\frac{\sqrt{\frac{21}{100}}}{\frac{3}{10}}[/tex]

[tex]tan(\theta)=\frac{\frac{\sqrt{21}}{10}}{\frac{3}{10}}[/tex]

[tex]tan(\theta)=\frac{\sqrt{21}}{10}*\frac{10}{3}[/tex]

[tex]tan(\theta)=\frac{\sqrt{21}}{3}[/tex]

Answer:

8

Step-by-step explanation:

6x+5=53

6x=48

6x/6=48/6

x=8