Find the perimeter of ΔABC and how you got it.

Answer:

The probability of A and B, denoted as P(A ∩ B) is equal to 0.331.

Step-by-step explanation:

Recall our formula for the probability of A or B:

We are given are variables already, which we can once again define:

To find P(A ∩ B), we start by plugging in the values into our formula:

We can add the RHS of the equation:

Subtracting 0.97 on both sides, we get closer to our answer:

To obtain our final answer, we can simply just divide both sides by -1:

Therefore, the probability of A and B is equal to 0.331.

Answer:

V = £21,012.50

Step-by-step explanation:

Compound interest formula

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

where:

Given:

Substituting given values into the formula:

[tex]\sf \implies V=20000(1+\frac{0.025}{1})^{(1 \times 2)}[/tex]

[tex]\sf \implies V=21012.5[/tex]

Answer:

2

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    -2*y-(-4*x+5)=0

STEP 1:

Pulling out like terms

1.1     Pull out like factors :

  -2y + 4x - 5  =   -1 • (2y - 4x + 5)

Equation at the end of step 1:

STEP 2:

Equation of a Straight Line

2.1     Solve   -2y+4x-5  = 0

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  -2y+4x-5  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 5/-2 so this line "cuts" the y axis at y=-2.50000

 y-intercept = 5/-2  = -2.50000

Calculate the X-Intercept :

When y = 0 the value of x is 5/4 Our line therefore "cuts" the x axis at x= 1.25000

 x-intercept = 5/4  =  1.25000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.500 and for x=2.000, the value of y is 1.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.500 - (-2.500) = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

    Slope     = 2

Geometric figure: Straight Line

 Slope = 2

 x-intercept = 5/4 = 1.25000

 y-intercept = 5/-2 = -2.50000

Answer:

2

Step-by-step explanation:

y=mx+b where m is the slope

to get y by itself you divide both sides by -2 resulting in

y= 2x+(-5/2)

2=m

The equation 4x + 8 = -2 - 2 + 5x has one solution

The equation is given as:

4x + 8 = -2 - 2 + 5x

Collect like terms

4x - 5x = -2 - 2 - 8

Evaluate the like terms

-x = -12

Divide both sides by -1

x = 12

The above means that the equation 4x + 8 = -2 - 2 + 5x has one solution

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Answer:

it does have one solution

Step-by-step explanation:

Answer:

290 8s the answer because 15 mutiplyed by 8 plus 17 multiplyed by 10 give you 290

[tex]\fbox{Surface \: area \: of \: prism = 520 \: sq.in.} [/tex]

Given:

height of prism h = 10 in

length of base of triangle b = 8 in

height of triangle h' = 15in

side A of triangle = 17 in

To find:

Surface area of prism = ?

Solution:

[tex]\begin{gathered}Area \: of \: base \: triangle = \: \frac{1}{2}\cdot{b}{h'} \\ Area \: of \: base \: triangle = \frac{1} {\not2}\cdot{15} \times \not{8} \\ Area \: of \: base \: triangle = 60 \: {in}^{2} \end{gathered}[/tex]\\[tex]\fbox{Area \: of \: base \: triangle \: (B) = 60 \: sq.in. }\\\begin{gathered}Perimeter \: of \: base \: triangle = Side A + Height \: h' + base \: b \\ Perimeter \: of \: base \: triangle = 15 + 17 + 8 \: in\\ Perimeter \: of \: base \: triangle = 40 \: in\end{gathered}

[/tex]

[tex]\fbox{Perimeter \: of \: base \: triangle (p) \: = 40 \: in} [/tex]

[tex]\begin{gathered}Surface \: area \: of \: prism = 2B+ \: ph \\ Surface \: area \: of \: prism = 2 \times 60+ \: 40 \times 10 \\ Surface \: area \: of \: prism = 120 + 400\\ Surface \: area \: of \: prism = 520 \: {in}^{2} \end{gathered} [/tex]

[tex]\fbox{Surface \: area \: of \: prism = 520 \: sq.in.} [/tex]

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Step-by-step explanation:

what is the problem ? you teacher gave you even the conversion rates in the question.

so, when 1 gallon = 3.79 liters, then how much is 4 gallons ?

4 gallons is 4 times 1 gallon. so, of course, we need to apply the same factor to the other side too.

4 gallons = 4×3.79 = 15.16 ≈ 15 liters

and e do the same for all the other table elements :

8 liters = 8×0.26 = 2.08 ≈ 2 gallons

12.5 liters = 12.5×0.26 = 3.25 ≈ 3 gallons

6 gallons = 6×3.79 = 22.74 liters ≈ 23 liters

Answer:

3

Step-by-step explanation:

x^2 means squared

to get x you need to get the square root of 9

which is

3

Answer:

C. 12/5 kilograms of apples

Step-by-step explanation:

If 5ppl =12kg of apples

then 1 person= ?kg of apples

If more less divides and if less more divides

Therefore

1×12

5

= 12

5

Answer:

The volume is 110

Answer:

110

Step-by-step explanation:

10x2x5.5=110

Answer:

[tex](x \: y)= ( \frac{379}{107} \: \frac{199}{107} )[/tex]

Step-by-step explanation:

i hope it's to help

Answer:

g(1) = 1

Step-by-step explanation:

we use the last equation since it can be used when x is not -2 or -1

if we plug in 1 in the equation the answer will be 1

Answer:

Step-by-step explanation:

Answer:

5,6,7

Step-by-step explanation:

the unfilled circle means that you dony inclued 4, and since the blue line is going u the scale means it can be any number higher than 4

Answer:

Leanne is correct. It is important that g(x) is subtracted from f(x).

Shiloh is incorrect. She subtracted f(x) from g(x), and subtraction isn't commutative.

*Just took the test, got the answer correct!! Hope this helps!

The value of the variable 'x' in the circle will be 26.7 units. Then the correct option is D.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

In primary mathematics, a statement defines a relationship between the four line segments formed by two crossing chords within a circle.

The equation is form by the above theorem is written as,

9 · x = 24 · 10

Simplify the equation, then we have

9 · x = 24 · 10

9x = 240

x = 240 / 9

x = 26.6667

x ≈ 26.7 units

The value of the variable 'x' in the circle will be 26.7 units. Then the correct option is D.

More about the circle link is given below.

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The simplified form of the expression is [tex]\frac{14+5\sqrt{3}}{11}[/tex]

Given the surd function expressed as:

[tex]\frac{\sqrt{3} +5}{\sqrt{3} - 5 }[/tex]

Multiply by the conjugate of the denominator to have:
[tex]= \frac{\sqrt{3} +5}{\sqrt{3} - 5 } \times \frac{\sqrt{3} +5}{\sqrt{3} + 5 } \\=\frac{\sqrt{9}+5\sqrt{3}+5\sqrt{3}+25 }{3-25}[/tex]

Simplify the resulting expression
[tex]\\=\frac{3+10\sqrt{3}+25 }{-22}\\=\frac{28+10\sqrt{3}}{-22} \\= \frac{14+5\sqrt{3}}{11}[/tex]

Hence the simplified form of the expression is [tex]\frac{14+5\sqrt{3}}{11}[/tex]

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Answer:

48

Step-by-step explanation:

Perimeter is the sum of all the side lengths, so add up the ones you know so far:

4+6+9+13+11

43 + x

x = 11-6

x = 5

43+5 = 48

Hope this helps!

Answer:

48 ft

Step-by-step explanation:

unknow side = 11 - 6 = 5ft

Perimeter = Sum of all sides

                 = 4 + 11 + 13 + 5 + 9 + 6

                 = 48 ft

[tex] 20\leqslant x {}^{3} \leqslant 50[/tex]

[tex] \sqrt[3]{20} \leqslant x \leqslant \sqrt[3]{50} [/tex]

[tex]2.714 \leqslant x \leqslant 3.684[/tex]

[tex]x = 3[/tex]

[tex]x = 3.5[/tex]

[tex]3 {}^{ 3} = 27 [/tex]

[tex] 20\leqslant27 \leqslant 50[/tex]

[tex]3.5 {}^{3} = 42.875[/tex]

[tex]20 \leqslant 42.875 \leqslant 50[/tex]

The number of soft drinks sold was 4 times the number of fruit juice -> On average, every 4 soft drinks sold, 1 fruit juice is.

-> Every P34.00 of soft drinks sold, P11.00 of fruit juice is.

So, the income is P45.00 everytime.

Since the total income is P900.00, the amount of 4 soft drinks and 1 fruit juice sold is 900 : 45 = 20 times

So, there were 20 x 4 = 80 soft drinks sold.

Recheck : 80 x 8.5 + 20 x 11 = 680 + 220 = 900.

Answer:

x = 4 mm

y = 15 mm

Step-by-step explanation:

x = 12 mm / 3 = 4 mm

y = 3 × 5 mm = 15 mm

Answer:

352 oz

Step-by-step explanation:

1 lb = 16 oz

22 * 16 = 352

Answer:

Step-by-step explanation:

Step-by-step explanation:

my solution is

1/4, 5/16, 3/8, 7/16, 19/32

Answer:

The complementary angle is 63 degrees and

The supplementary angle is 153 degrees.

Step-by-step explanation:

A complementary Angle has a total of 90 if you subtract 27 from 90 you will get 63

A supplementary adds up to 180 degrees so subtract 27 and you will get 153.

Hope that helps.

Answer:

Supplementary angle = 153°

Complementary angle = 63°

Step-by-step explanation:

Supplementary angles: Two angles that sum to 180°

Complementary angles: Two angles that sum to 90°

Given angle = 27°

⇒ Supplementary angle = 180° - 27° = 153°

⇒ Complementary angle = 90° - 27° = 63°

Answer:

30 .24 m/hr

Step-by-step explanation:

2 hours and 5 minutes  = 2  + 5/60  hours = 2 5/60 hrs

63 miles / (2  5/60) = 30.24 m/hr

Step-by-step explanation:

To find the average speed, we must know this formula :

[tex] \\ {\longrightarrow\sf \qquad{Average \: speed = \dfrac{Distance \: Travelled}{Total \: Time \: Taken}}} \\ \\ [/tex]

Now, substituting the given values in the formula :

[tex] \\ {\longrightarrow\sf \qquad{Average \: speed = \dfrac{63 \: miles}{2.083 \: hr}}} \\ \\ [/tex]

[tex] \\ {\longrightarrow\sf \qquad{Average \: speed = 30.24 \: mph}} \\ \\[/tex]

Therefore,

Answer:

the answer is 12

Step-by-step explanation:

it is what it is

Answer:

The graph decreases from left to right.

Step-by-step explanation:

Answer:

It is similar by AA

Step-by-step explanation:

AA stands for angle-angle. In similar figures, angles are congruent, and the sides are proportional. the corresponding angles are the same. Hope this helps!