Drag and drop the numbers 1 - 9 into the empty
boxes to the right to create a right triangle with the largest area
possible (round to the nearest TENTH, if necessary).
Each number can only be used one time, and only one number
can be placed per empty box (there will be some unused
numbers).

Answer:

answer: x = 55

Step-by-step explanation:

Because a triangle will add up to 180 degrees 2 of are angles are given so I will subtract them from 180 for answer so 27 + 98 = 125

180 - 125 = 55 Hope this helps!

Answer:

x = 55°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles from 180° for x

x = 180° - (98 + 27)° = 180° - 125° = 55°

Answer:

17.8

Step-by-step explanation:

We can find this because we know that to make a cube, we need to do [tex]c*c*c[/tex] or [tex]c^3[/tex]. With this, we can simplify our equation (by taking the root of both sides) to [tex]c=\sqrt[3]{5639.752}[/tex] or 17.8.

Answer:

3/10 of all the M & M's are red and blue.

Step-by-step explanation:

Given that 1/10 of the M & M's in a bag are red and 1/5 are blue, to determine what fraction of all the M & M's are red and blue, the following calculation must be performed:

1/10 = 0.10

1/5 = 2/10 = 0.20

1/10 + 2/10 = X

3/10 = X

Therefore, 3/10 of all the M & M's are red and blue.

Answer:

[tex] \cos(30) = \frac{ \sqrt{3} }{2 } = \frac{4 \sqrt{3} }{x} \\ x = 8 \sqrt{3} \div \sqrt{3} = 8[/tex]

Answer:

x = 8

Step-by-step explanation:

                                                             √3                  4√3

Note that cos 30 degrees (which is ---------) equals ---------  

                                                                2                      x

which simplifies to:

    1         4

  ----   = -----    

    2         x

so that x = 8                                                                                                

Answer:

Step-by-step explanation:

[tex]\\ \tt\longmapsto 132\pi=A4[/tex]

[tex]\\ \tt\longmapsto A=\dfrac{132\pi}{4}[/tex]

[tex]\\ \tt\longmapsto A=33\pi[/tex]

Here's the solution,

Volume of wall :

=》total bricks × volume of each brick

=》1200 × 0.075 m³

=》90 m³

volume of wall :

=》lenght × width × height

=》25 × 9 × width

=》225 × width

now, by equating the volumes, we get

( since they are volume of same wall )

=》225 × width = 90

=》width = 90 ÷ 225

=》width of wall = 0.4 m

Answer:

6.4

Step-by-step explanation:

5^2 + 4^2 = c^2 (pythagoras)

c^2 = 41

c = 6.4

Answer: 37, [tex]\frac{x+2}{7}[/tex]

Step-by-step explanation:

Given

[tex]f(x)=7x-2\\g(x)=x^2+1\\h(x)=3x[/tex]

now,

[tex]g(h(x))=(3x)^2+1\\g(h(x))=9x^2+1[/tex]

for x=2

[tex]g(h(2))=9\cdot (2)^2+1\\g(h(2))=36+1\\g(h(2))=37[/tex]

Inverse of [tex]f(x)[/tex] is given by

[tex]y=7x-2\\x=\dfrac{y+2}{7}\\\\f^{-1}(x)=\dfrac{x+2}{7}[/tex]

Answer:1251231

Step-by-step explanation:

Step-by-step explanation:

[tex]from \: boyle 's \: law \\ P _{1}V _{1} = P _{2} V _{2} \\ (4 \times 20) = (P _{2} \times 5) \\ P _{2} = \frac{(4 \times 20)}{5} \\ P _{2} = 16 \: atm[/tex]

Answer:

a

Step-by-step explanation:

Answer:

The expected value is $0.1125

Step-by-step explanation:

The number of packages worth $0.70 in the grab bag = 20

The number of packages worth $0.60 in the grab bag = 15

The number of packages worth 30 cents in the grab bag = 5

The amount paid to pick one package = 50 cents

The number of packages in the bag, n = 20 + 15 + 5 = 40

The total value of the packages in the grab bag, 'V', is given as follows;

V = 20 × $0.70 + 15 × $0.60 + 5 × $0.30 =  $24.5

The average value of the packages in the bag, A = V/n

∴ A = $24.5/40 = 0.6125

The expected value is the value of the investment, at a point in time, the expected value E(X) is found by finding the sum of the of the calculations of the possible outcomes as follows

Whereby a $0.70 package is picked up, we have;

E(X)₁ = ($0.70 - $0.50) × 20/40 = $0.10

Whereby a $0.60 package is selected, we have;

E(X)₂ = ($0.60 - $0.50) × 15/40 = $0.0375

Whereby a $0.30 package is selected, we have;

E(X)₃ = ($0.30 - $0.50) × 5/40 = $(0.025)

Therefore, the expected value, E(X), is found as follows;

E(X) = E(X)₁ + E(X)₂ + E(X)₃

E(X) = 0.1 + 0.0375 - 0.025 = $0.1125

The expected value, E(X) = $0.1125

[tex]60\% = 180\\1\%=\frac{180}{60} = 3[/tex]

[tex]100\% - 60\% = 40\%\\40\% = 3*40=120[/tex]

Answer: 120 cans.

Answer:

The probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.

Step-by-step explanation:

To determine what is the probability that a given student is a graduate, given that he or she is on financial aid, the following calculation must be performed:

6101 = 100

1879 = X

1879 x 100/6101 = X

187,900 / 6101 = X

30,798 = X

Therefore, the probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.

Answer:

Step-by-step explanation:

Answer:

44%

0.44 is 44% of 1.

Answer:

21 / 252

Step-by-step explanation:

Recall : nCr = n! ÷ (n-r)!r!

The total possible outcome ; 5 questions out of 10

10C5 = 10! ÷ 5!5! = (10*9*8*7*6)÷(5*4*3*2*1) = 252

Required outcome :

All 5 questions set being from the 7 questions covered and 0 from the 3 left uncovered

7C5 * 3C0

7C5 = 7! ÷ 2!5! = (7*6) ÷ (2*1) = 21

3C0 = 3! ÷ 3!0! = 1

Probability = required outcome / Total possible outcomes

P(All 5 questions prepared for appears) :

[7C5 * 3C0] ÷ 10C5

(21 * 1) / 252

= 21 / 252

Answer:

Area of trapezoid = 21 cm²

Step-by-step explanation:

Given:

Length of rectangular shape = 4 cm

Width of rectangular shape = 3 cm

Base of triangle = 3 cm

Number of triangle = 3 cm

Find:

Area of trapezoid

Computation:

Area of trapezoid = Area of middle rectangle + Number of triangle[Area of triangle]

Area of trapezoid = [l x b] + 2[(1/2)(b)(h)]

Area of trapezoid = [4 x 3] + 2[(1/2)(3)(3)]

Area of trapezoid = 12 + 9

Area of trapezoid = 21 cm²

Answer:

A

Step-by-step explanation:

Recall that sin = opposite over hypotenuse

For ∠A we are already given its opposite side length ( 2 ) however the hypotenuse has not been identified.

The triangle shown is a right triangle ( indicated by the little square on the bottom left ) which means that we can find a missing side length, more specifically the hypotenuse, using the Pythagorean theorem

[tex]a^2+b^2=c^2[/tex] where a and b = legs and c = hypotenuse

we are given that the legs = 2 and 4 and need to find the hypotenuse

That being said we plug in what we are given and solve for c

[tex]2^2+4^2=c^2\\2^2=4\\4^2=16\\16+4=20\\20=c^2[/tex]

In order to get the exact value of c we must get rid of the exponent.

To do so we can take the square root of both sides

[tex]\sqrt{20} =\sqrt{20} \\\sqrt{c^2} =c\\c=\sqrt{20}[/tex]

hence, the hypotenuse = √20

Now lets look back at the question

Find sin∠A to the nearest hundredth.

well remember sin = opposite over hypotenuse

The opposite of sin∠A is 2 and the hypotenuse is √20

Hence, sin∠A = [tex]\frac{2}{\sqrt{20} }[/tex] which is equivalent to .447213595

Our last step is to round to the nearest hundredth

We get the sin∠A = .45

Answer: ghrhuydduyfgjrguh

Step-by-step explanation:

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Answer:

what number is it less than? i need that number to solve it

once you give it to me i will solve it

Step-by-step explanation:

Yes, raising fraction as the power to the integer number is same as calculating the reciprocal of the fraction.

According to the question, the simplification method for the raising fraction as the power to the integer number(-1) is same as calculating the reciprocal of the fraction.

Raising power means multiplying that number that many times to get the answer.

What is simplification in fraction?

The word simplification in fraction is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.

To learn more about the simplification in fraction from the given link:

brainly.com/question/432678

#SPJ1

Answer:

55.5

Step-by-step explanation:

Answer:

(x is number)

x=7>5

Step-by-step explanation:

hope this helps

Answer:

19g^2

Step-by-step explanation:

Answer:

144 I think????? ????????

Answer:

0.25 is a decimal

Step-by-step explanation:

Answer:

A,

23/6v+28

Step-by-step explanation:

Answer:

D. 23/6v+28

Step-by-step explanation:

Answer:

m and 100are co-interior angles

so;

m+100=180. (being sum of co-interior angles)

m=180-100

m=80

like wise;

n=100

Answer:

x = 4

Step-by-step explanation:

Here, given that the two triangles are similar, we want to find the value of x

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

Thus, we have it that;

ED/EF = XY/YZ

5/2x-1 = 10/14

14(5) = 10(2x-1)

70 = 20x -10

70 + 10 = 20x

20x = 80

x = 80/20

x = 4

Answer:

1/9

Step-by-step explanation:

The probability of getting 9 as the sum when 2 dice are thrown is 1/9.