A triangles angle measures are in the ratio 3: 4: 7. Find the measures of the angles

Answer:

From the problem, the answer to the equation is 5 1/10

Step-by-step explanation:

First, let's gather the information from the problem.

a = 4 1/5 (also can be turned into 21/5)

b = 2 7/20 (also can be turned into 47/20)

c = 3 1/4 (also can be turned into 13/4)

Now, plug in the numbers using the improper fractions.

21/5 - 47/20 + 13/4

Turn the denominators into the same number.

84/20 - 47/20 + 65/20

Subtract 84/20 and 47/20.

37/20 + 65/20

Add 37/20 and 65/20.

102/20 or 5 1/10

So, your answer to this equation is 5 1/10.

Answer:

1/5

Step-by-step explanation:

Answer:

678.2

Step-by-step explanation:

To find the surface area you need to use the expression [tex]2\pi rh + 2\pi r^2[/tex]

When you substitute the numbers in you get 678.24

The surface are of the can that has radius of 9 ft. and height of 3 ft is 678.2 ft².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The surface area of the can is the sum of the area of the bases of the can and the lateral surface area of the can. Therefore, the total surface area of the can is,

The surface area of can = 2(Area of base) + Lateral surface area of can

                                        = 2(πr²) + 2πrh

                                        = 2[π×(9 ft)²] + (2 × π × 9ft × 3ft)

                                        = 508.8 ft² + 169.4 ft²

                                        = 678.2 ft²

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Answer:

The given graph is a function because

One input result in one output.

Step-by-step explanation:

Vertical line test is a test used for testing whether a graphed relation is a  function or not. In a vertical line test, multiple vertical lines can be drawn at any point of the function. If the vertical lines intersect the graph only at one point, it means the there is only one value of y for a value of x, therefore the given relation is a function. If the vertical lines interest the graph at 2 or more locations, the given relation is not a function.

Answer:

The answer is option D.

I hope this helps.

Answer:

y = 2/7x +11

3x-4y = -24

Step-by-step explanation:

We would want to use substitute on the last set of equations since the first equation is already solved for y.  It is easy to substitute for y in the second equation

Answer:

B) y+5 = -1/3(x-4)

Step-by-step explanation:

y-y1 = m(x – x1)

Here, m represents the slope

(x1, y1) represents the coordinate point

By substituting the given values in the equation, the equation of a line is obtained.

Answer:

y+5=-1/3(x-4)

Step-by-step explanation:

y=-1/3 (x-4)-5

Answer:

[tex]5\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{2\sqrt{8^2+15^2}+\sqrt{9^2+40^2}}=?\\\\1)\sqrt{8^2+15^2}=\sqrt{289}=17\\2)\sqrt{9^2+40^2}=\sqrt{1681}=41\\3)2\times17=34\\4)\sqrt{34+41}=5\sqrt{3}[/tex]

All Done!

Answer:

Your correct answer is 8.660254

Step-by-step explanation:

√2√82 + 152 + √92 + 402 = 8.660254

Answer:

permutation

Step-by-step explanation:

The permutation refers to the arrangement of a people, person, number, colors, alphabets or any other thing

While on the other hand the combination refers to the selection or choosing  a particular thing like - clothing, menu, subjects, etc

But in the given question it asks for the number of ways can different students be selected so its a case of permutation and the same is to be considered

Answer:

The value of a + 2z/ 2 in terms of a is (3a+4)/2

Step-by-step explanation:

least of 3 consecutive integers is a, and the greatest is z

if a is the least one

we know that integers differ by value of 1.

example -2, -1, 0, 1,2

they all differ by

then next consecutive integer will be a+1

third integer will be  second integer +1 = a+1 + 1 = a+2

Thus, 3 consecutive integer

a , a+1, a+2

but given that greatest is z

thus, a+2 is greatest and hence

a+2 = z

we have to find   value of a + 2z/ 2 in terms of a

a + 2z/ 2 = a + 2(a+2)/2 = (a+ 2a +4)/2 = (3a+4)/2.

The value of a + 2z/ 2 in terms of a is (3a+4)/2

Answer: The value of x = 1.

Step-by-step explanation: I only inputted the answer as you said. Hope this helps!

Answer:

1

Step-by-step explanation:

(2x1) +1 = 3

x=1

Answer:

Her grocery bill is $4.62

Step-by-step explanation:

The first step is to multiply 6 and .43 to get how much it was for all of the apples.

Then the next step is to do the same thing with the oranges.

Then the last step is to add the two together.

Answer:

$4.62

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

Step 1: Distribute

18 + 3x = 24

Step 2: Subtract 18 from both sides

3x = 6

Step 3: Divide both sides by 3

x = 2

Your first step would be to distribute/multiply the 3 to the parenthesis.

Answer:

(3×6) + (3×x) = 24       ←    1st Step

Step-by-step explanation:

3(6+x) = 24

First step is expand the brackets by distributive property.

=> (3×6) + (3×x) = 24       ←    1st Step

Multiply

=> 18+3x = 24                  ←     2nd Step

Subtracting 18 to both sides

=> 3x = 6                          ←      3rd Step

Dividing both sides by 3

=> x = 2                             ←       4th step

Answer:

Step-by-step explanation:

x^2 + 2x - 3 = (1)^2 + 2(1) - 3 = 0 for x = 1

                       (2)^2 + 2(2) - 3 = 5 for x = 2

                        (3)^2 + 2(3) - 3 = 12 for x = 3

x^3 + 5 = (1)^3 + 5 = 6 for x = 1

               (2)^3 + 5 = 13 for x = 2

               (3)^3 + 5 = 32 for x = 3

x^2 + 5x + 4 = (1 )^2 + 5(1) + 4 = 10 for x = 1

                       (2)^2 + 5(2) + 4 = 18 for x = 2

                        (3)^3 + 5(3) + 4 = 46 for x = 3

Answer:

option 2 is correct ans. it can be solved by substitution method.

Answer:

Step-by-step explanation: The answer is A because the two lines must intersect to form an angle take the letter L for example. Letter B is incorrect because Parallel means they don't touch kind of like these two L's: l l And C and D could mean anything meaning they could intersect or not which is an answer too broad for the question.

Answer:

Step-by-step explanation:

find the slope

[tex]\frac{4-8}{-5-(-3)} =\frac{-4}{-2} \\\\slope=2\\y=mx+b\\y=2x+b\\[/tex]

take a coordinate to fill in

[tex](-5,4)\\y=-5\\x=4\\-5=2(4)+b\\-5=8+b-8 -8\\-13=b\\[/tex]

this means that the equation is y=2x-13

and if you add m and b

you get :-11

I HOPE THIS HELPS

Answer:

7/2

Step-by-step explanation:

Let $A = (-3,8)$ and $B = (-5,4)$. The midpoint of $\overline{AB}$ is $\left( \frac{(-3) + (-5)}{2}, \frac{8 + 4}{2} \right) = (-4,6)$.

The slope of $\overline{AB}$ is $\frac{8 - 4}{(-3) - (-5)} = 2$, so the slope of the perpendicular bisector of $\overline{AB}$ is $-\frac{1}{2}$. Therefore, the equation of the perpendicular bisector is given by

\[y - 6 = -\frac{1}{2} (x + 4).\]Isolating $y,$ we find

\[y = -\frac{1}{2} x + 4.\]

Step-by-step explanation:To find the interest accumulated over a period of time you use:

A = P [1 + (r/n)]^(nt)

with A = new amount in the account, P = principal, r = percent rate as a decimal, n = how many times you compound during one year, t = time in years.

A = 2000

P = 1500

r = 0.035

n=1

Thus you get:

2000 = 1500 (1+0.035)^t

Divide by 1500:

(4/3) = (1.035)^t

Apply "ln" on both sides:

ln(4/3) = t*ln(1.035)

Calculate the logarithms:

0.28768 = t*0.03440

Divide by 0.03440 on both sides:

t = 8.36 years

So after approximately 8 years and 5 month you will have $2000 or more in the account.

Answer:

The solution is (-17,80.5) and (1,8.5)

Step-by-step explanation:

Equation 1 : [tex]y=\frac{1}{2}x^2+4x+4[/tex]

Equation 2: [tex]y = -4x+12.5[/tex]

Substitute the value of y from equation 2 in equation 1

Equation 1 : [tex]y=\frac{1}{2}x^2+4x+4[/tex]

After substitution :

[tex]-4x+12.5=\frac{1}{2}x^2+4x+4\\\frac{1}{2}x^2+8x+4-12.5=0\\\frac{1}{2}x^2+8x-8.5=0\\x^2+16x+17=0\\x=-17,2[/tex]

Substitute the value of x = -17

y = -4x+12.5

y = -4(-17)+12.5

y=80.5

Substitute the value of x = 1

y = -4(1)+12.5

y=8.5

Hence the solution is (-17,80.5) and (1,8.5)

Answer:

270 ft square

Step-by-step explanation:

10cm * 1.5ft = 15 ft

12cm * 1.5ft = 18ft

18ft * 15ft = 270ft square

Answer:

270 sq ft

Step-by-step explanation:

Step-by-step explanation:

1.32:24

32/8:24/8

4:3

2.20:32

20/4:32/4

5:8

3.24:76

24/4:76/4

6:19

4.24:32:20

24/4:32/4:20/4

6:8:5

Answer:

v=20, w=80

Step-by-step explanation:

First, we can find v by determining that angle 5v and angle 4v and supplementary to each other. This means that their sum adds up to 180 degrees.

5v + 4v=180

9v=180

v=20

We also know 4v is equivalent to w.

4(20)=w

w=80

Answer:

Step-by-step explanation:

5v + 4v = 180   {co-interior angles}

9v = 180

v = 180/9

v = 20

Angles opposite to equal sides are equal.

So, w = 4v

      w = 4*20

      w = 80

Answer: Mica spent $70.65

Step-by-step explanation:

Mica's bank balance before shopping = $22.50

Mica's bank balance after shopping = - $48.15

Mica's spending could be calculated by:

Difference between initial and final bank balance.

Hence,

[(Bank balance before shopping - (bank balance after shopping)]

[$22.50 - (-$48.15)]

= $22.50 + 48.15

= $70.65

Answer:

Step-by-step explanation:

The graph of this function is that of a parabola that opens down (due to the negative coefficient of t^2).  The axis of symmetry is

        -b          -100

x = --------- = ----------- = 50/16 = 25/8.

        2a        2(-16)

The y value of the vertex is h(25/8) = -16(25/8)^2 + 100(25/8) + 10, or 166/25.

The largest value this function can take on is 166/25.  Thus, the range is

(-infinity, 166/25).

Since the given function is a polynomial, the domain consists of all real numbers.

Answer:

The third integer is 27

Step-by-step explanation:

Given

Represent the consecutive odd numbers with [tex]T_1, T_2; and\ T_3[/tex]

Since they are consecutive odds, then

[tex]T_2 = 2 + T_1[/tex]

[tex]T_3 = 2 + T_2[/tex]

From the first statement in the question, we have that

[tex]T_1 + T_3 = 5 T_2 - 75[/tex]

Required

Find the third integer

Recall that

Substitute [tex]T_2 = 2 + T_1[/tex] in [tex]T_3 = 2 + T_2[/tex]

[tex]T_3 = 2 + 2 + T_1[/tex]

[tex]T_3 = 4 + T_1[/tex]

Substitute [tex]T_3 = 4 + T_1[/tex] and [tex]T_2 = 2 + T_1[/tex] in [tex]T_1 + T_3 = 5 T_2 - 75[/tex]

[tex]T_1 + 4 + T_1 = 5(2 + T_1) - 75[/tex]

Open Brackets

[tex]T_1 + 4 + T_1 = 10 + 5T_1 - 75[/tex]

Collect like terms

[tex]T_1 + T_1 + 4 = 5T_1 - 75 + 10[/tex]

[tex]2T_1 + 4 = 5T_1 - 65[/tex]

Collect like terms

[tex]2T_1 - 5T_1 = - 65 - 4[/tex]

[tex]-3T_1 = - 69[/tex]

Divide both sides by -3

[tex]\frac{-3T_1}{-3} = \frac{- 69}{-3}[/tex]

[tex]T_1 = 23[/tex]

Recall that [tex]T_3 = 4 + T_1[/tex]

[tex]T_3 = 4 + 23[/tex]

[tex]T_3 = 27[/tex]

The third integer is 27

Answer:

Total weight = 70.5 kg

Step-by-step explanation:

Rectangular frame is made from 5 straight pieces of metal. One of them goes through the diagonal of the rectangle.

2 pieces form the length of the rectangular frame, hence, they have a length of 12 m each

2 pieces from the width of the rectangular frame, hence, they a length of 5 m each

To find the length of the diagonal, we can use Pythagoras Theorem:

Hypotenuse² = Base² + Perpendicular²

Hypotenuse² = 5² + 12²

Hypotenuse² = 169²

Hypotenuse = 13

Hence, the length of the piece of metal placed at the diagonal is 13cm

Find the sum of all lengths of the metal pieces.

Total length = 12 + 12 + 5 + 5 + 13

Total length = 47 m

Total weight = 1.5 × Total length

Total weight = 1.5 kg/m × 47m

Total weight = 70.5 kg

The total weight of the metal in the frame is 70.5 kg

If a rectangular frame is made from 5 straight pieces of metal, with a length of 5m and a width of 12m

Get the diagonal

[tex]d^2= 5^2 + 12^2\\d^2 = 25 + 144\\d^2 = 169\\d= 13m[/tex]

Get the perimeter of the rectangular frame:

Perimeter of the frame = 2(5 + 12) + 13

Perimeter of the frame = 2(17) + 13

Perimeter of the frame = 34 + 13

Perimeter of the frame = 47m

If the weight of the metal is 1.5 kg per metre, the total weight will be expressed as:

Total weight = 47 * 1.5

Total weight = 70.5kg

Hence the total weight of the metal in the frame is 70.5 kg

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Answer:

WORDS: The value of x is 15.

EQUATION: x = 15

Step-by-step explanation:

1. AB is a straight line therefore angles AOF, FOG, and GOB total 180º

2. If ∠FOG = 90º, AOF + GOB = 90º by subtraction & substitution property

3. 5x - 15 + 2x = 90 (now solve) --> by substitution

4. 7x - 15 = 90 --> by C.L.T. or Combine Like Terms

5. 7x = 105 --> by C.L.T. or Combine Like Terms

6. x = 15 --> by inverse operations (division)

Hope this helps!

Answer:

Step-by-step explanation:

Find and compare the unit costs of the two different bottle sizes.

First:  

$2.79/(6 oz) = $0.465/oz

Second:

$10.89/(14 oz) = $0.778/oz

Clearly, the larger (14 oz) bottle is a much better buy

Answer: 14oz bottle for 10.89

Step-by-step explanation:

Did it before