Are the triangles congruent? and why?
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Answer:

The shadow of the pole is 1.2 feet long

Step-by-step explanation:

A little girl standing next to a telephone pole at 10 AM.

From the above question

Height of the girl = 4'6" tall = 4 feet and 6 inches tall

We convert to feet

= 12 inches = 1 foot

6 inches = x

Cross Multiply

12 × x = 6 × 1

x = 6/12 = 1/2 = 0.5 feet

Hence, the total height of the girl =

4 feet + 0.5 feet = 4.5 feet

The height of the telephone pole = 40 feet high.

The shadow of the telephone pole

= 8' 32 foot shadow

= 8 feet, 32 inches

We convert the inches to feet

12 inches = 1 foot

32 inches = x

Cross Multiply

12 × x = 32 × 1

x = 32/12 = 8/3 = 2.67 feet

Total length of the pole = 8 feet+ 2.67 feet = 10.67 feet

how long is a little girl shadow?

This is calculated using proportion

Shadow/Height

Shadow of the girl = x

Hence:

Shadow of the girl/Height of the girl = Shadow of the pole/Height of the pole

x/4.5 feet = 10.67 feet/40 feet

Cross Multiply

40 × x= 4.5 × 10.67

x = 4.5 × 10.67/40

x = 1.200375 feet

Approximately = 1.2 feet

Hence, the shadow of the pole is 1.2 feet long

The amount of the sales tax is $2.24.

Given that,

Based on the above information, the amount of the sales tax rate is

[tex]= \$32 \times 7\%[/tex]

= $2.24

Here we simply multiply the cost with the sales tax rate.

Therefore we can conclude that the amount of the sales tax is $2.24.

Learn more: brainly.com/question/23461853

Answer:

700

Step-by-step explanation:

700

Answer:

what questions? I dont see any

Answer:

there are no questions here but i am willing to see if i can help you with what you need

Step-by-step explanation:

Answer:20

Step-by-step explanation:

7 divided by 28 is 4 so multiply 5x4

Answer: is 20

Step-by-step explanation:

Cesar has 32 boxes of pasta and 48 jars of sauce that he will be putting into bags for a food drive. He wants each bag to have the same amount of pasta and sauce and wants to use all of the items. Use the drop-down menus to complete the statements below about the number of bags Cesar can make.

What is the greatest number of bags Cesar can make and Each bag would have _____ pasta and _____ jars of sauce

Answer:

The greatest number of bags Cesar can make is 16 bags.

Each bag would have 2 pasta and 3 of jars of sauce

Step-by-step explanation:

We solve the above question using Greatest Common Factor method

The factors of 32 are: 1, 2, 4, 8, 16, 32

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Then the greatest common factor is 16.

Hence, the greatest number of bags Cesar can make is 16 bags.

For Pasta, We have 32 pasta

Each bag would have: 32/16

= 2 pasta

For Jars of sauce, we have 48 jars of sauce.= 48/16

= 3 jars of sauce

Answer:

Right triangle

Step-by-step explanation:

90 degrees means that it's a right angle

Answer:

Acute triangle

Step-by-step explanation:

Answer:

29.4x-70.56

Step-by-step explanation:

Answer:

[tex]y=\frac{5}{3}x+\frac{10}{3}[/tex]

Step-by-step explanation:

Firstly we rewrite the equation that is parallel to the line we need because parallel lines have the same slope by the rule

[tex]m_1=m_2[/tex]

so we rewrite the equation in slope-intercept form:

[tex]5x-3y=17\\-3y=-5x+17\\y=\frac{-5x+17}{-3}\\\\y=\frac{-5x}{-3}+\frac{17}{-3} \\\\y=\frac{5}{3}x-\frac{17}{3}[/tex]

and now we compare it with our slope-intercept form equation:

[tex]y=mx+b[/tex]

the coefficient of x which is m is the slope and since parallel lines have equal slopes the line that we need would also have the same slope which is 5/3.

now the next step is the line that we need passes through the point (-2,0) so it means that it should satisfy that specific point so we insert that point into our slope-intercept form and insert the slope which is 5/3 which is m.

[tex]y=mx+b\\y=\frac{5}{3}x+b\\\\0=\frac{5}{3}(-2)+b\\\\0=\frac{-10}{3}+b\\\\b=\frac{10}{3}\\[/tex]

now we know that the y-intercept(b) of the line we need is 10/3 and slope(m) is 5/3 insert these values into our slope-intercept form:

[tex]y=mx+b\\y=\frac{5}{3}x+\frac{10}{3} \\[/tex]

so this is our given line.

Answer:

10a + 5

Step-by-step explanation:

3a - 4 + 5a + 7 + 2(a + 1)

3a - 4 + 5a + 7 + 2a + 2

10a +5

Group the variables and non variables.

Answer:

this is not a function because y-values repeat

Step-by-step explanation:

Answer:

[tex]-8x^{2}+3x-6[/tex]

Step-by-step explanation:

The image below shows step-by-step on how to simplify the expression.

Hope this helps! :)

Answer:

D. No; the graph fails the vertical line test

The correct option is D.  No,  the graph fails the vertical line test.

The vertical line test is a graphical method of determining whether a curve in the plane represents the graph of a function. It is done by visually examining the number of intersections of the curve with vertical lines.

In the given graph, the graph of a function intersects the y axis twice.

Any vertical line in the x y plane must intersect the graph of a function at most once.

Thus, the correct option is D.

Learn more about  vertical line test.

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Answer:

The two numbers are 12 and 8

Step-by-step explanation:

Well this is pretty simple

We can just list out everything that Adds up to 20

1+19

2+18

3+17

4+16

5+15

6+14

7+13

8+12

9+11

10+10

Now just subtract each one until you get the one that equals to 4

Which is 12 and 8 in this case

Answer:

The base is 0.1

The base is less than 1 so the function is decreasing

The x intercept is (3,0)

Step-by-step explanation:

The base of a logarithm refers to the number that must be raised to the power of the number on the right hand side of the logarithmic equation in order to yield the number on the left hand side of the logarithmic equation. It is always written as a subscript below the log symbol. In this case, the base is 0.1.

When the base of a logarithm is less than 1, it means that the function is decreasing as is the case in this question.

Looking at the graph, the x axis is cut at the point (3,0). This is the x-intercept of the graph.

Answer:

is A B and D

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

let ones be x

tens is 4 + 2x

4 + 2x + x = 4

3x = 0

x = 0

tens is 4 + 2*0

tens = 4

40 candy canes

Answer:

So find the what?

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

By inscribed angles, arc FPI = 2<FLI = 2*110 = 220. Since the entire arc of a circle is 360, we know that arc FLI + arc FPI = 360. Solving, we get arc FLI = 360 - 220 = 140.

I hope this helps!

Answer:

let the marks obtained in maths be x

total marks obtained by susan=142+x

then

A/Q

60%of 450 =(142+x)

270=142+x

x=270-142

x=128

hence marks obtained in maths=128

OR

Max marks 120+150+180=450

60% of 450 is 270

70 +72+x=270

x=270-142

x=128

Answer:

july 16

Step-by-step explanation:

Answer:

[tex]\dfrac{1 - 6 \ln y}{2}[/tex]

Step-by-step explanation:

[tex] \ln \dfrac{\sqrt{e}}{y^3} = [/tex]

[tex] = \ln \dfrac{e^\frac{1}{2}}{y^3} [/tex]

[tex] = \ln e^\frac{1}{2} - \ln y^3 [/tex]

[tex]= \dfrac{1}{2} \ln e - 3 \ln y[/tex]

[tex]= \dfrac{1}{2} - 3 \ln y[/tex]

[tex]= \dfrac{1 - 6 \ln y}{2}[/tex]

The given logarithmic expression can be written as [tex]\frac{1-6ln\ y}{2}[/tex]

Given that,

Based on the above information, the calculation is as follows:

[tex]= ln \frac{\sqrt{e} }{y^3}\\\\= ln \frac{e^{1/2}}{y^3} \\\\= ln \e^{1/2} - lny3\\\\= \frac{1}{2}ln e - 3 ln y\\\\= \frac{1}{2} - 3 ln \ y \\\\= \frac{1- 6ln \y}{2}[/tex]

Therefore we can conclude that the given logarithmic expression can be written as [tex]\frac{1-6ln\ y}{2}[/tex]

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Answer: Trial B is [tex]1\dfrac{3}{4}[/tex] miles longer then Trail A.

Step-by-step explanation:

Length of Trail A = [tex]6\dfrac34[/tex] miles

= [tex]\dfrac{24+3}{4}[/tex]  miles = [tex]\dfrac{27}{4}[/tex] miles.

Length of Trail B = [tex]8\dfrac12[/tex] miles

= [tex]\dfrac{16+1}{2}[/tex] miles = [tex]\dfrac{17}{2}[/tex] miles.

Trial B is longer then Trail A by [tex]\dfrac{17}{2}-\dfrac{27}{4}[/tex] miles

[tex]=\dfrac{17\times2}{2\times2}-\dfrac{27}{4}[/tex] miles

[tex]=\dfrac{34}{4}-\dfrac{27}{4}[/tex] miles

[tex]=\dfrac{7}{4}[/tex] miles

[tex]=1\dfrac{3}{4}[/tex] miles

Hence, Trial B is [tex]1\dfrac{3}{4}[/tex] miles longer then Trail A.

Answer:

So the slope is rise over run. You need the y intercept and the slope to write an equation. To find the y intercept, use the formula : 0=4(slope)*3+b and you get 0=12+b then you subtract twelve from both sides, getting b=-12. Thats your y intercept. So your equation will be y=4x-12

Answer:

23040

This is because math.

Answer:

72

Step-by-step explanation:

Based on the table, the left and the right side have a pattern. When 3 is added to the left side, the right side is multiplied by 6. Since 12 multiplied by 6 is 72, the missing number is 72.

Answer: 40.8cm

Step-by-step explanation:

A hexagon is a polygon that is made up of 6 sides. The perimeter of a regular hexagon is calculated by multiplying the side given by 6

Since the length of a side of a regular hexagon is 6.8 cm, the perimeter will be:

= 6 × 6.8

= 40.8cm

Answer:

5c + 3d = 55

4c + 3d = 53

Step-by-step explanation:

lets pretend c= cost of chicken, d= cost of duck

5 chickens total cost would be 5c

3 ducks total cost would be 3d

in equation one added together would be 55 for total cost (given in word problem).

repeat for second equation.

please give thanks :)