Sybil's desk is 65 centimeters long. She says her desk is 6.5 meters long. Complete the explanation of her error. Sybil may have confused the units, since 65 centimeters is 6.5 --------------------- The correct length of the desk in meters is ----------------------- because a centimeter is--------------- of a meter.

Answer:

The correct option is (D) [tex]y=\frac{4}{7}\ x+\frac{1}{7}[/tex].

Step-by-step explanation:

The two-point form for the equation of straight line is:

[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})[/tex]

The two points provided are:

A = (5, 3)

B = (12, 7)

Compute the equation of the trend line as follows:

[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})\\\\(y-3)=\frac{7-3}{12-5}\ (x-5)\\\\(y-3)=\frac{4}{7}\ (x-5)\\\\y-3=\frac{4}{7}\ x-\frac{20}{7} \\\\y=\frac{4}{7}\ x-\frac{20}{7}+3\\\\y=\frac{4}{7}\ x+\frac{-20+21}{7}\\\\y=\frac{4}{7}\ x+\frac{1}{7}[/tex]

Thus, the equation of the trend line is [tex]y=\frac{4}{7}\ x+\frac{1}{7}[/tex].

The correct option is (D).

Answer:

D

Step-by-step explanation:

Answer:

A =452.16 ft^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

A = 3.14 (12)^2

A =452.16 ft^2

Answer:

452.16ft^2

Step-by-step explanation:

So to answer this You need to use the formula A=πR^2

Answer:

420

Step-by-step explanation:

multiply them by each other

Answer:

420 square inches

Step-by-step explanation:

(5x12)x7=?

12x5=60

60x7=420

(5x12)x7=420

Hope this helped!

Answer: y-intercept

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

a^2+b^2 = c^2

Answer:

the answer is -6 and -3

Step-by-step explanation:

Answer:

-3 and -6.

Step-by-step explanation:

ac = 1 *18 = 18

b = -9

The 2 numbers required are  -3 and -6.

The area A of a trapezoid is the height h times the average of the parallel bases a and b.  

A = (1/2)(a + b)h

Solving for a,

2A = (a+b)h

2A/h = a+b

a = 2A/h - b

We have A=59.64, b=4, h=8.4

a = 2(59.64)/8.4 - 4

a = 10.2 yards

Answer: 10.2

Answer:

(if its a true or false question) True

Step-by-step explanation:

We know-

Area of a circle =

A=(π)r2

Circumference of a circle =

C=2(π)r

Where pi is a constant and r is the radius of the circle.

Using these two formulas we can express A in terms of C as follows:

c2=[2(π)r]2

⇒ c2=4[(π)2]r2 ⇒ c2=4(π)[(π)r2]

As (π)r2=A ⇒c2=4(π)A

Therefore:

A=c2/4(π)

Answer:

the answer is b

Step-by-step explanation:

....

Answer:

Inscribed angles, substitution property of equality

Step-by-step explanation:

We know it cant be Central angles because its a quadrilateral so that's 2 answers out. Then you have to substitute each value to end up with 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°, it doesnt make sense to add to both sides so the answer is Inscribed angles and substitution property of equality.

Plus i took the test and its right.

Angles to be proven as supplementary angles are known as inscribed

angles, and they are used as the substitute to known angles.

Response:

The given information are;

Quadrilateral CDEF is inscribed in circle A

The completed statement is presented as follows;

The correct option is therefore;

Inscribed angles are angles formed by the intersection of two chords of

a circle.

The substitution property of equality states that variables that are

equal can be substituted by each other in any equation with both sides

of the the equation remaining equal.

Learn more about inscribed geometric figures of a circle here:

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Answer: help me with my questions

Step-by-step explanation:

Click on my profile answer my question and get branliest

Answer:

The constant is 5 and the coefficient is 3.

Step-by-step explanation:

The constant is something that does not change, which would be 5 because it stays 5 no matter what.

The coefficient is the number before the variable, which would be 3 because it changes depending on the x value.

I hope this helps! :)

Answer:

8ft. x 16ft.

Step-by-step explanation:

If each inch is scaled to 2 ft, then you simply multiply the values by two. The new scaled dimensions would be 8 x 16 ft. Hope this helps.

Answer:

The height of the tree is Greater than 50 feet, so Iva’s house is not safe

Step-by-step explanation:

Find the height of the tree

Let

h ----> the height of the tree

we know that

The tangent of angle of 50 degrees is equal to divide the opposite side to the angle of 50 degrees (height of the tree) by the adjacent side to the angle of 50 degrees (tree’s distance from the house)

so

tan(50°)=h/50

h=(50)tan(50°)=59.6 ft

therefore

The height of the tree is Greater than 50 feet, so Iva’s house is not safe

Answer:

Rough guide: doubling time in years is 72/interest rate in per cent. 72/6 is 12 so it doubles every 12 years, so in 36 years it will double 3 times.

A=300(1+.06)^36 is the formula. Without rounding, A=$2444.18. That is doubling 3 times or increasing 8 fold (and a little more)

Step-by-step explanation:

Hope this helps. Stay healthy. No corona. Take Care

At the agre of 28 he had invested A=$2444.18.

The doubling time in years is 72/interest rate in per cent.

72/6 is 12 so it doubles every 12 years,

So, in 36 years it will double 3 times.

The formula of investment is

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

[tex]A=300(1+.06)^{36}[/tex]

Without rounding, We get,

A=$2444.18.

That is doubling 3 times or increasing 8 fold.

Therefore at the age of 28 he had invested A=$2444.18.

To learn more about the investment visit:

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Answer:=40m

Step-by-step explanation: 36m+3m+5m

Answer:

540m

Step-by-step explanation:

The second ramp needs to have an angle of 20° from the ground to achieve the overall angle of 35° for the car to drive off smoothly and reach the desired height.

Here,

To find the angle measure the second ramp needs to have, we can use the concept of angles of elevation and depression.

When the car drives off the first ramp, it will be going at an angle of 15° from the ground, and the angle of elevation from the ground to the car will also be 15°.

This is because the angle of elevation is the angle between the horizontal line and the line of sight from the ground to an object above the ground.

Now, when the car reaches the top of the first ramp, it will be at the same level as the second ramp.

At this point, the car needs to continue its ascent with an additional angle of 20° (35° - 15°) to reach the desired angle of 35° from the ground.

So, the second ramp needs to have an angle of 20° from the ground to achieve the overall angle of 35° for the car to drive off smoothly and reach the desired height.

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Answer: 1.72 kilograms

Step-by-step explanation:

From the question, Ricardo is making a container of trail mix with 3.5 kilograms of nuts and he has 1.78 kilograms of almonds while the remaining of the nuts will be cashews.

To get the kilograms of cashews nuts that are needed, we subtract the kilograms of almonds from the total container. This will be:

= 3.5 kg - 1.78 kg

= 1. 72 kg

Answer:

172.5 inches cubed

Step-by-step explanation:

Answer:

none of the above

Step-by-step explanation:

One milliliter is equal to a cubic centimeter. I think from the options, it's self-explanatory.

Answer:

2500 cups

Step-by-step explanation:

Let c = total cups

c*30% = green cups

c*.30 = 750

Divide each side by .30

.30c/.30 = 750/.30

c =2500

Answer:

let's choose

5x+3x-7y+2x-16y+3+-5y

1) give values to our variables:

x=3

y=4

so

5(3)+3(3)-7(4)+2(3)-16(4)+3-5(4)

15+9-28+6-64+3-20

1) first take this step-by-step and solve each term from left-right

15+9=24

24-28=-4

-4+6=2

2-64=-62

-62+3=-59

-59-20=-79

-79 is the answer

Answer:

0.7241

Step-by-step explanation:

sin = [tex]\frac{opposite}{hypotenuse}[/tex]

In this case we have the hypotenuse (2.9) but not the opposite so here is how you calculate it

[tex]a^{2}+b^{2}= c^{2} \\\\2^{2}+ b^{2}= 2.9^{2} \\4+ b^{2} = 8.41\\\\\sqrt{b^{2} }= \sqrt{4.41} \\b= 2.1[/tex]

So now you have the opposite (2.1)

so now you would divide [tex]\frac{2.1}{2.9} or 0.7241[/tex]

Answer:

[tex] \sin X = 0.7241 [/tex]

Step-by-step explanation:

For angle X, 2.0 ft is the adjacent leg. 2.9 ft is the hypotenuse.

The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.

[tex] \cos X = \dfrac{adj}{opp} [/tex]

[tex] \cos X = \dfrac{2.0}{2.9} [/tex]

[tex] \cos X = 0.689655 [/tex]

Since we now know the value of cos X, we can find the value of sin X by using the trig identity

[tex] \sin^2 X + \cos^2 X = 1 [/tex]

[tex] \sin^2 X + (0.689655)^2 = 1 [/tex]

[tex] \sin^2 X = 0.524376 [/tex]

[tex] \sin X = 0.7241 [/tex]

Answer:

D. the subtraction property of equality was not applied.

Step-by-step explanation:

Step 1: Listed the statement

Step 2: applied the addition property of equality

Step 3: Simplified

Step 4: Applied the multiplication property of equality

Step 5: Simplified

~

Answer:

y= 125x + 5o

Step-by-step explanation:

Since the constant is 125 we add the x to show each broom he makes. The one time fee is not a constant so therefore it will only be added once.

Answer:

f(x)=125g+50

Step-by-step explanation:

He is charging $125 for each gold piece so you would multiply “g” and 125.

You would add 50 as a one time fee so you add 50.

Answer:

The 1st intersection P(x, y) has x = -4 and y = -3 (as shown in graph).

Option B = -3 is correct.

Hope this helps!

:)

The y intercept value is option (B) -3

The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis

Given

x intercept value = -4

From the graph we can say that y intercept value = -3

The y-intercept is the point where the line crosses the y-axis that is -3

Hence, the y intercept value is option (B) -3

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Answer:

62.4

Step-by-step explanation:

Volume=L*w*h/3

V=5.2*4*9=187.2

187.2/3-62.4

Answer:

The volume of pyramid is

V = Base area x Height x 1/3

  = (5.2 x 4) x 9 x 1/3 = 62.4 (cm3)

Hope this helps!

:)

Answer:

85.375%

Step-by-step explanation:

We would be using the z-score formula which is

z = (x-μ)/σ, where

x is the raw score,

μ is the population mean, and

σ is the population standard deviation.

In the question, we are given:

x is the raw score = 47

μ is the population mean = Mean score = 43

σ is the population standard deviation = 3.8

z = (x-μ)/σ

z = (47- 43)/ 3.8

z = 4/3.8

z = 1.0526315789

The z score = 1.0526315789

Checking my z score on my normal distribution table,

The percentage of test takers that scored lower than you =

[1 - P(x>Z)] × 100

= ( 1 - 0.14625) × 100

= 0.85375 × 100

= 85.375%

Therefore, the percentage of test takers that scored lower than you is 85.375%

Answer:

sometimes

Step-by-step explanation:

You can never divide a non-zero number, such as 3 or 7, by zero. However, you can divide zero by zero, so the answer is sometimes.

Hope this helped! :)

Answer:

sometimes

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

8.

We have to use the law of cosines to find AB

c^2 = a^2 + b^2 − 2ab cos(C)

AB^2 = 14^2 + 24^2 - 2 * 14 *24 cos(91)

AB^2 =196 +576 - 672 cos(91)

AB^2 =783.7280171

Taking the square root of each side

AB =27.99514

Rounding to the nearest tenth

AB = 28

(If the lengths are supposed to have the variable A)

AB = 28A

9.

Using the law of sines

sin 84              sin A

--------------  = -------------

22                     9

Using cross products

9 sin 84 = 22 sin A

Divide each side by 22

9 sin 84 /22 = sin A

.406849866 = sin A

Taking the inverse sin of each side

24.00710132 = A

To the nearest tenth

A = 24

Answer:

AB = 28 ft; m<A = 24 deg

Step-by-step explanation:

8.

Since you are not given an angle and its opposite side, you cannot start with the law of sines. You must use the law of cosines.

[tex] c^2 = a^2 + b^2 - 2ab \cos C [/tex]

[tex] c^2 = (14~ft)^2 + (24~ft)^2 - 2(14~ft)(24~ft) \cos 91^\circ [/tex]

[tex] c^2 = 196~ft^2 + 576~ft^2 - 672~ft^2(-0.01745) [/tex]

[tex] c = \sqrt{783.73~ft^2} [/tex]

[tex] c = 27.995~ft [/tex]

AB = c = 28 ft

9.

[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c} [/tex]

[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} [/tex]

[tex] \dfrac{\sin A}{9~km} = \dfrac{\sin 84^\circ}{22~km} [/tex]

[tex] \sin A = \dfrac{9~km~\sin 84^\circ}{22~km} [/tex]

[tex] \sin A = 0.40685 [/tex]

[tex] A = \sin^{-1} 0.40685 [/tex]

[tex] A = 24^\circ [/tex]