What is the area of triangle ABC?
C
12
60°
60°
A
D
B

Answer:

opens upwards

Step-by-step explanation:

given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

• if a > 0 then parabola opens upwards

• if a < 0 then parabola opens downwards

given

y = 5x² - 17x - 12

with a = 5 > 0

then parabola opens upward

Answer:

a=3 d=1 b and c cant be solved

Step-by-step explanation:

because segment AB is parallel to x axis . So the slope of ABco is 0. So the y value is congruent

a=3 d=1

We know AB=CO b+2=8-C

we can only find ad, but we could not get b,c

Answer:

x = 6

Step-by-step explanation:

(17*6)+6 = 108

The length of BC= 7√2 and BD = 7.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given:

AD= 7, AC= 14

In Δ BDC

cos 45 = B/ H

1/√2 = 7/ BC

BC= 7√2

In Δ BDC

sin 45 = P/H

1/√2= BD / 7√2

BD = 7

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Answer: Heyaa! ~

Your Answer is... 26.8

Step-by-step explanation:

The estimated answer is D. 27!

Hopefully this helps you! ^^

Answer:

27

Step-by-step explanation:

12.18 + 14.62= 26.80

if the number after the point is greater than 5 or equal to 5, we will add 1 to the number before the point, so now the number is 8 we will add 1 to the number before the point

26+1=27

therefore the sum of 12.18+14.62 = 27

Answer:48V/10

Step-by-step explanation:

I got it right from Khan Academy

Answer:

(a) C = $9250

(b) n = 21 tons

Step-by-step explanation:

(a)   11 tons being transported, so n = 11.

                ∴ C = 250 (11) + 650

                        C = $9250

(b)   C = $11,750

       ∴ 11750 = 250n + 6500

                250n = 5250

                   n = 21 tons

Hope this helps!

Answer:

C. 1/3

Step-by-step explanation:

there are 48 possible outcomes, and out of those 16 of them have a sum of 3.

16/48

simplify

1/3

Answer:

50m^2

Step-by-step explanation:

cut the shape into half. Now you should have a rectangle and a right triangle. Then do 5•7=35 so 35m for the rectangle. Now do the triangle! 10-7=3 so the base is 3 so do 3•5=15m so add them together 15m+35m=50m^2

ALSO IF YOU NEED TO KNOW THE ANGLE X IS: 60*
Hope this helps! ;-)

The amount of money I would have after 45 years with an exponential increase is  $64,060.18.

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value

$2000 x (1.26)^15 = $64,060.18

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Answer:

Equation: 4x = 128

[tex]m\angle 1 = 84\degree[/tex]

[tex]m\angle 2 = 96\degree[/tex]

Step-by-step explanation:

Answer:

The answer is  greater than or equal to 15 which is the third answer.

Answer:

1/1000, 0.001

1/1000

Convert the negative exponent of base 10 into decimal: move to the left thrice

=0.001

Builder can build 7 one bedroom houses and 5 two bedroom houses.

What is consistent Equation?

A linear or nonlinear system of equations is called consistent if there is at least one set of values for the unknowns that satisfies each equation in the system—that is, when substituted into each of the equations, they make each equation hold true as an identity.

Let x represents the number of one-bedroom houses and y represents the number of two bedroom houses.

According to Question,

Total number of houses is 12 i.e. x + y = 12..........(i)

Total we have 88 windows in which 6 windows can be use in one bedroom house and 9 windows can be used in two bedroom house so,

6x + 9y = 88 ..................(ii)

From Equation (i) and (ii), we get

x = 7 and y = 5

Thus, Builder can build 7 one bedroom houses and 5 two bedroom houses.

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Answer:

See below ~

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the number of days for 80 - 82 is 7 and the number of days for 82-84 is 9. Those are the only temperatures below 84 degrees, so you add them and get 16 :)

1/2b+2≤8

1/2b≤6

b≤12

Any number less than or equal to 12 can solve the equation.

Answer

[tex]b\leq 12[/tex]

Step-by-step explanation

You would subtract two from the eight and that would get you six, and the reciprocal of 1/2 is two so technically you would multiply the 6 by two and that gets you 12.

Hope this helps any!

Step-by-step explanation:

4x-4x=-32-4

X=28

Is the answer

Answer:

No solution

Step-by-step explanation:

As the slopes are same and y-intercepts are different, we can conclude this system of equations has no solution.

Answer:

One, since the lines are not parallel (you can tell by either the graph, or the coefficient of the x term, called "slope", and it's (3;4)

Using the probability concept, it is found that:

a) P(girl) = 1/3, which means that 1/3 = 33% of the time, the first batter will be a girl.

b) P(boy) = 2/3, which means that 2/3 = 67% of the time, the first batter will be a boy.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, in a total of 15 people, 5 are girls and 10 are boys, hence:

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Answer:

y ≤ 45

Step-by-step explanation:

First y must be less than or equal to 45.

y ≤ 45 x + y  ≤  80

And total number of reservations cannot exceed 80:

x + y  ≤  80.

Answer:

y=½x-6

Step-by-step explanation:

m= ½

equation of the line: y-y1=m(x-x1)

y+5=½(x-2)

y=½x-6

Answer:

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

Step-by-step explanation:

Point-slope formula

[tex]y-y_1=m(x-x_1)[/tex]

where:

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}y-y_1 & =m(x-x_1)\\\\\implies y-(-5) & =\dfrac{1}{2}(x-2)\\\\y+5 & =\dfrac{1}{2}x-1\\\\y & =\dfrac{1}{2}x-1-5\\\\y & =\dfrac{1}{2}x-6\end{aligned}[/tex]

Answer:

S = (-6, -1)

T = (-7, 4)

U = (-6, 9)

V = (-4, 4)

Answer:

150

Step-by-step explanation:

Knowing that a cube has 6 faces which all are equal.

Thus, Multiply the area of one face by the number of faces to get the total surface area of the cube.

Since, it given that one face is 5 cm

Then, we also must know the formula for area of a cube

Which is:

[tex]Area=6a^2[/tex]

Thus,

[tex]Area=6a^2[/tex]

[tex]Area=6(5)^2[/tex]

[tex]Area=6(25)[/tex]

[tex]Area=150[/tex]

Kavinsky

Answer:

A

Step-by-step explanation:

You have to simplify the brackets in turn.

3 times x^3- 7x+1 = 3x^3- 21x+ 3

then do 3 times x + 4= 3x + 12

you then add them all together, if they have a power add them, if they just have an x add them, and if they are just a number add them.

So it goes to 3x^3- 24x - 9,

this is because 3x^3 cant be added/ subtracted by anything, -24x is made from -21x- 3x, and -9 is made from 3 - + 12, so this means 3 - 12 = -9.

I hope this helps, have a lovely day.

Answer:

Step-by-step explanation:

The problem statement gives expressions and relations for revenue, cost, and profit. Substitute and simplify or solve, as appropriate.

__

Given: r(x) = 20x; c(x) = 3600+4x; p(x) = r(x) -c(x)

The formula for p(x) is ...

  p(x) = (20x) -(3600 +4x) . . . . substitute for r(x) and c(x)

  p(x) = 16x -3600 . . . . . . . . simplify

__

  r(x) = 2·c(x) . . . . given relation for revenue and cost

  20x = 2(3600 +4x) . . . . substitute for each

  12x = 7200 . . . . . . . simplify and subtract 8x

  x = 600 . . . . . . . divide by 12

Revenue is twice the cost when x = 600 units.

__

  p(x) = 292 +1/3r(x) . . . . given relation for profit and revenue

  16x -3600 = 292 +1/3(20x) . . . . . substitute for each

  28/3x = 3892 . . . . . . . . add 3600 -20/3x

  x = 417 . . . . . . . . multiply by 3/28

Profit is $292 more than 1/3 the revenue earned for 417 units.

Answer:

3520

Step-by-step explanation:

Because 3 feet are  equal to a yard and 1760 yards are in one mile

So.. just add 1760+1760 and thats the equivalent of 2 miles

Answer:

[tex]\huge\boxed{\bf\: 3:4:2}[/tex]

Step-by-step explanation:

In the given ratio, [tex]12:16:8[/tex], we can see that all the 3 numbers in ratio are multiples of 4. Hence the lowest common multiple (LCM) of the given ratio = 4.

Now, let's divide the 3 numbers by 4.

[tex]12:16:8\\= \frac{12}{4}:\frac{16}{4}:\frac{8}{4}\\=\boxed{\bf\: 3:4:2}[/tex]

This ratio cannot be further simplified as they don't have any common multiples except for 1.

So, the simplified ratio = [tex]\boxed{\bf\: 3:4:2}[/tex]

[tex]\rule{150pt}{2pt}[/tex]