Find the area.
2 cm
6 cm
4 cm

Answer:

7x^2 -35x +7

Step-by-step explanation:

7(x^2 – 5x + 1)

Distribute

7x^2 -7*5x +7*1

7x^2 -35x +7

Step-by-step explanation:

use trigonometry ratios

Answer:

the answer is 24

Step-by-step explanation:

you need to add all the number above

its full form is portable document format

Answer:

2

Step-by-step explanation:

9514 1404 393

Answer:

  B. 73.5 in²

Step-by-step explanation:

The triangle area is half the rectangle area, so the shaded area is also half the rectangle area:

  A = 1/2LW = 1/2(21 in)(7 in) = 73.5 in²

Answer:

B.) 73.5 in2

Step-by-step explanation:

I got it correct on founders edtell

Answer:

The value of x is [tex]\frac{7\sqrt{6}}{2}[/tex]

Solution given:

AB=7

BD=x

<BAC=60°

<DBC=45°

In right angled triangle ABC

Tan 60°=opposite/adjacent

Tan 60°=BC/AB

Substitute value

[tex]\sqrt{3}[/tex]=[tex]\frac{BC}{7}[/tex]

BC=[tex]7\sqrt{3}[/tex]

again

In right angled triangle BCD

Using Cos angle

Cos 45=adjacent/hypotenuse

Cos45°=BD/BC

Substituting value

[tex]\frac{\sqrt{2}}{2}=\frac{x}{7\sqrt{3}}[/tex]

Doing criss cross multiplication

[tex]\frac{\sqrt{2}}{2}*7\sqrt{3}=x[/tex]

x=[tex]\frac{7\sqrt{6}}{2}[/tex]

Answer:

1320 ways

Step-by-step explanation:

Number of contestants = 12

Positions that are n be awarded = First, Second, Third

Number of contestants who could be first = 12 (all 12 contestants)

Number of contestants who could be second = 11 (all 12 contestants - first)

Number of contestants who could be third = 10 (all 12 contestants - first and second )

The number of ways prices can be given :

(1st * 2nd * 3rd) = 12 * 11 * 10 = 1320 ways

Answer:

I believe the answer is  d = 32

Step-by-step explanation:

You should isolate the radical, then raise each side of the equation to the power of its index.

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Answer:

  d = 32

Step-by-step explanation:

Add 4, then square, and solve the resulting linear equation.

  √(7d +1) = 15

  7d +1 = 225 . . . . . . square both sides

  7d = 224 . . . . . . . . subtract 1

  d = 32 . . . . . . . . . . divide by 7

Answer:

-1

Step-by-step explanation:

I solved it the way one-variable equations are solved.

Answer:

-1 is ur answer

Step-by-step explanation:

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Answer:

Step-by-step explanation:

The attache graph shows the solution region is bounded by lines through the points (-2, 4), (6, 0), and (3, -6).

The solution (x, y) = (-2, 4) gives the maximum value of z: 16.

The solution (x, y) = (3, -6) gives the minimum value of z: -24.

Answer: Yes, we can add them as they are like terms

               The answer we get after adding is 9xy

Step-by-step explanation:

Even though 'xy' and 'yx' seem to be different, we must remember that multiplication is commutative and hence 'xy' and 'yx' are the same

The answer we get after adding is 9xy

Answer:

Yes, and you get 9xy

Step-by-step explanation:

4yx = 4xy

Yes, you can add them.

5xy + 4xy = 9xy

Answer:

next term is 3

Step-by-step explanation:

[tex]f(n+1)=-2f(n)\\\\f(1)=-1.5=-\frac{3}{2}f(2)=-2f(1)=-2*(-\frac{3}{2})=3[/tex]

Answer:

3

Step-by-step explanation:

Took the test and got this right.

Answer:

value added tax rate = Y/X

Step-by-step explanation:

Sales price x value added tax rate = value added tax

X x value added tax rate = Y

value added tax rate = Y/X

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Answer:

Step-by-step explanation:

We have used the formula shown in Go.ogle Sheets to give the results shown. (We presume Excel has a similar function.)

The result is that the future value of the investment is $113,907.92.

The amount deposited is ($150/mo)(12 mo/yr)(30 yr) = $54,000.

The interest earned is the difference: $113,907.92 -54,000 = $59,907.92.

Answer:

c= none of the above

Step-by-step explanation:

-3x- 6/10

This has two separate terms, a term with a variable

-3x  and a term with a constant -6/10

A=3/6x1/10  This has only one term

b=- 3/10x-6  This has a different x term -3/10  which is not -3

c= none of the above

Answer:

y= x^2 + 8

Step-by-step explanation:

x square rooted is x^2 and shifted up 8 unit probably means that it wants the y-intercept to be 8.

Answer: [tex]17.5t[/tex]

Step-by-step explanation:

Given

Speed of boat A is [tex]v_a=9\ mi/hr[/tex]

Speed of boat B is [tex]v_b=15\ mi/hr[/tex]

Both are moving perpendicular to each other

Distance traveled by Boat A [tex]x_a=9t[/tex]

Distance traveled by Boat B [tex]x_b=15t[/tex]

Distance between them is given by Pythagoras theorem

[tex]\Rightarrow d^2=(x_a)^2+(x_b)^2\\\\\Rightarrow d^2=(9t)^2+(15t)^2\\\\\Rightarrow d=\sqrt{(9t)^2+(15t)^2}\\\\\Rightarrow d=\sqrt{81t^2+225t^2}\\\\\Rightarrow d=\sqrt{306t^2}\\\\\Rightarrow d=17.49t\approx 17.5t\ \text{miles}[/tex]

Distance between them is [tex]17.5t[/tex]

Answer:

98 days.

Step-by-step explanation:

140 * 0.70

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Answer:

  C.  h ≥ 1.9 in

Step-by-step explanation:

As the final step, divide both sides of the inequality by 5.3:

  (5.3h)/5.3 ≥ 10/5.3

  h ≥ 1.9

Answer:

$1487.50

Step-by-step explanation:

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Answer:

  $1487.50

Step-by-step explanation:

The amount of interest due is ...

  I = Prt

where P is the loan amount, r is the annual rate, and t is the number of years. Here, t = 6 months = 1/2 year, so the interest due is ...

  I = $1400×0.125×1/2 = $87.50

The total amount due is the sum of the loan amount and the interest:

  due = $1400 +87.50 = $1487.50

The total amount due after 60 months is $1487.50.

Answer:

y = 5x + 23

Step-by-step explanation:

y2 - y1 / x2 - x1

8 - (-2) / -3 - (-5)

10 / 2

= 5

y = 5x + b

-2 = 5(-5) + b

-2 = -25 + b

23 = b

the value of Zis 8.

Z =2^3=8

Now we have to,

find the required value of Z.

→ Z = 2^3

→ [Z = 8]

Therefore, value of Z is 8.

Answer:

25

Step-by-step explanation:

To find the mean

first add all the number

27+ 32+ 14+ 19+ 24+26+ 22+ 32+ 29

225

Then divide by the number of terms, there are 9 terms

225/9

25

Answer:

B. 25

Step-by-step explanation:

27+32+14+19+24+26+22+32+29=225

Mean=225/9

Mean =25

Answer:

the addition of "1" to the quantity under the radical sign.

Step-by-step explanation:

Using a regression equation :

The confidence interval is obtained using the relation :

yhat ± t(α/2) * s√(1/n + (Xp - xbar)²/SSx)

yhat = Predicted value

s = estimated standard deviation of yhat

x = Xp

The prediction interval is obtained using the relation :

yhat ± t(α/2) * s√(1 + 1/n + (Xp - xbar)²/SSx)

Hence, from the formula stated abibeb, we can see that, the only difference is the 1 added to the prediction interval formula.

Answer:

B

Step-by-step explanation:

The square root function's graph is graph (b). This makes logical sense, because, when taking the square root (the principal root in particular), a general rule is that both the input and the output must be positive. Moreover, if one were to create a table of values to find points on the graph of the function, each of the points can be found on graph (b).

[tex]f(x)=\sqrt{x}[/tex]

x         y

1          1

4         2

9         3

16        4

Therefore graph (B) is the correct answer.

First, I'm going to separate factor the expression inside of the square root.

sqrt[ (2/18) * (x^5) ]

sqrt[ (1/9) * (x^5) ]

We can take the square root of 1/9 easily, because 1 and 9 are both perfect squares. The square root of 1/9 is 1/3.

Looking at the x^5, we can separate it into x^2 * x^2 * x^1. The square root of x^2 is x. So, we now also have an x^2 on the outside because there are two x^2s in our expanded form.

ANSWER: (x^2 * sqrt(x)) / 3

(Option 1)

Hope this helps!

Answer:

2,344.32 units

Step-by-step explanation:

the area = 8× ½× 16 × 36.63

= 2,344.32 units