Circle C is inscribed in triangle QSU. Circle C is inscribed in triangle Q S U. Points R, T, and V of the circle are on the sides of the triangle. Point R is on side Q S, point T is on side S U, and point V is on side Q U. The length of Q R is 10, the length of R S is 2 x, the length of S T is x + 3, and the length of T U is 4. What is the perimeter of triangle QSU? 3 units 16 units 30 units 40 units

Answer:

  90 inches

Step-by-step explanation:

The perimeter of the inscribed triangle is 1/2 that of the enclosing triangle. So, the total of perimeters is ...

  (3·16 in)(1 +1/2 +1/4 +1/8) = (48 in)(15/8) = 90 inches

Answer:

A. 2x + (-x + 2) = -1

Step-by-step explanation:

Well if we use x + y = 2 as the substitute we need to solve for y.

x + y = 2

-x to both sides

y = -x + 2

Substitute

2x + (-x + 2) = -1

Thus,

the answer is A. 2x + (-x + 2) = -1.

Hope this helps :)

Answer:

the 95th percentile for the sum of the rounding errors is 21.236

Step-by-step explanation:

Let consider X to be the rounding errors

Then; [tex]X \sim U (a,b)[/tex]

where;

a = -0.5 and b = 0.5

Also;

Since The error on each loss is independently and uniformly distributed

Then;

[tex]\sum X _1 \sim N ( n \mu , n \sigma^2)[/tex]

where;

n = 2000

Mean [tex]\mu = \dfrac{a+b}{2}[/tex]

[tex]\mu = \dfrac{-0.5+0.5}{2}[/tex]

[tex]\mu =0[/tex]

[tex]\sigma^2 = \dfrac{(b-a)^2}{12}[/tex]

[tex]\sigma^2 = \dfrac{(0.5-(-0.5))^2}{12}[/tex]

[tex]\sigma^2 = \dfrac{(0.5+0.5)^2}{12}[/tex]

[tex]\sigma^2 = \dfrac{(1.0)^2}{12}[/tex]

[tex]\sigma^2 = \dfrac{1}{12}[/tex]

Recall:

[tex]\sum X _1 \sim N ( n \mu , n \sigma^2)[/tex]

[tex]n\mu = 2000 \times 0 = 0[/tex]

[tex]n \sigma^2 = 2000 \times \dfrac{1}{12} = \dfrac{2000}{12}[/tex]

For 95th percentile or below

[tex]P(\overline X < 95}) = P(\dfrac{\overline X - \mu }{\sqrt{{n \sigma^2}}}< \dfrac{P_{95}- 0 } {\sqrt{\dfrac{2000}{12}}}) =0.95[/tex]

[tex]P(Z< \dfrac{P_{95} } {\sqrt{\dfrac{2000}{12}}}) = 0.95[/tex]

[tex]P(Z< \dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}}) = 0.95[/tex]

[tex]\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} =1- 0.95[/tex]

[tex]\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} = 0.05[/tex]

From Normal table; Z >   1.645 = 0.05

[tex]\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} =1.645[/tex]

[tex]{P_{95}\sqrt{12} } = 1.645 \times {\sqrt{{2000}}}[/tex]

[tex]{P_{95} = \dfrac{1.645 \times {\sqrt{{2000}}} }{\sqrt{12} } }[/tex]

[tex]\mathbf{P_{95} = 21.236}[/tex]

the 95th percentile for the sum of the rounding errors is 21.236

The solutions to the equation x minus StartFraction 7 Over x EndFraction is equal to 6 is -1 and 7

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

We have equation:

[tex]\rm x-\dfrac{7}{x}=6[/tex]

After simplifying:

[tex]\rm x^2 -7 = 6x\\\\x^2-6x-7=0[/tex]

[tex]\rm x^2 +x-7x-7=0[/tex]

(x + 1)(x - 7) = 0

x = -1 or x = 7

Thus, the solutions to the equation x minus StartFraction 7 Over x EndFraction is equal to 6 is -1 and 7

Learn more about quadratic equations here:

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Answer:

C) x= -1 and x=7

Step-by-step explanation:

Answer:

The mod-point is (-4,-4)

Step-by-step explanation:

By using mid-point formula

M(x,y)=(x1+x2)/2 ,(y1+y2)/2

putting the values of the coordinates

M(x,y)=(0+-8)/2 ,(-8+0)/2

M(x,y)=-8/2 , -8/2

M(x,y)=(-4,-4)

So the mid-point is (-4.-4)

I hope this will help you :)

Answer:

d=16

Step-by-step explanation:

d: distance (10,4),(-6,4)

d=√(x2-x1)^2+(y2-y1)^2

d=√(-6-10)^2+(4-4)^2

d=√16^2

d=16

Answer:

go 4 to right or where is positive then thats it

Step-by-step explanation:

lololololololololololololol

Answer:

x² + 13x + 30

Step-by-step explanation:

(x + 3) (x + 10)

Expand the brackets.

x(x + 10) + 3(x + 10)

x² + 10x + 3x + 30

Add like terms.

x² + 13x + 30

Answer:

=x²+13x+30 is the answer

Step-by-step explanation:

=(x+3)(x+10)

opening the brackets by multiplying

=x(x+10)+3(x+10)

=x²+10x+3x+30

=x²+13x+30

i hope this will help you :)

Answer:

Step-by-step explanation:

measure of angles of a circle=360

angle ACB=360-82=278 degrees

Answer:

262.44 cubic metres.

Step-by-step explanation:

First, we can calculate the volume of the cylinder by doing pi * r^2 * h. In this case, r is 5 / 2 and h is 7.

pi * (5/2)^2 * 7 = pi * 25/4 * 7 = pi * 6.25 * 7 = pi * 43.75 = 3.14159265 * 43.75 = 137.4446784 cubic m.

Seconds, we calculate the volume of the cube. It is 5^3 = 5 * 5 * 5 = 25 * 5 = 125 cubic m.

137.4446784 + 125 = 262.4446784, which is about 262.44 cubic metres.

Hope this helps!

Answer:

5*5*5=125

volume of cylinder=137.44

137.44+125=262.44

Step-by-step explanation:

Answer:

Hello there!

~~~~~~~~~~~~~~~~~~~~~~`

Convert the fraction to a decimal by dividing the numerator by the denominator.

[tex]109 / 50 = 2.18[/tex]

Hope this helped you. Brainliest would be nice!

Answer:

1463 : 5080

Step-by-step explanation:

There are 1463 cherry-flavored jelly beans.

There are 5080 non cherry-flavored jelly beans.

The ratio of cherry-flavored jelly beans to non-flavored jelly beans is:

1463 : 5080

Answer:   [tex]\bold{log_5\bigg(\dfrac{x^5}{(8-x)^{\frac{1}{4}}}\bigg)}[/tex]

Step-by-step explanation:

Notes: Coefficients condense to exponents.

           Subtraction condenses to division

[tex]5\log_5(x)-\dfrac{1}{4}\log_5(8-x)\\\\\\=\log_5(x)^5-\log_5(8-x)^\frac{1}{4}\\\\\\=\large\boxed{\log_5\bigg(\dfrac{x^5}{(8-x)^\frac{1}{4}}\bigg)}[/tex]

Answer:

Altogether they lost 150 pennies.

Step-by-step explanation:

X = Dante's pennies

Y = Mia's pennies

X + Y = 350                                       1/2 X = 2/3 Y

                                                                X = 4/3 Y

4/3 Y + Y = 350

7/3 Y = 350

Y = 350 * 3/7

Y = 50 * 3

Y = 150

X + 150 = 350

X = 200

                                                     1/2 * 200 = 2/3 * 150

                                                       100 .      =   100

1/2 * 200 = 100 -> Dante lost 100 pennies

1/3 * 150 = 50 -> Mia lost 50 pennies

Altogether they lost 150 pennies.

Answer:

Answer B (The cost of fabric compared to its length)

Step-by-step explanation:

The cost of fabric is directly proportional to the length of fabric one is buying. That constant of proportionality is telling you that there is a constant rate of change in units of cost per length.

The other options are much more randomly varying.

Answer:

6x

Step-by-step explanation:

Product is multiplication.

2x × 3

Multiply.

2 × x × 3

= 6x

Answer:

(A)CPCTC

Step-by-step explanation:

Issa knows that ΔRED ≅ ΔTAN by the SSS theorem.

If two triangles are congruent, their corresponding parts will always be congruent. In fact, their corresponding angles will be equal.

Therefore, Issa concluded that ∠R ≅ ∠T by the fact that Corresponding Parts of Congruent Triangles are Congruent (CPCTC).

The correct option is A.

Similarly, we can also conclude that:

The side lengths 8 cm, 6 cm, and 10 cm that can form a right triangle option (B), (C), and (D) are correct.

It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.

We know that Pythagoras theorem:

[tex]\rm Hypotenuse^2 = Perpendicular^2 + Base^2[/tex]

10² = 8² + 6² = 64+36 = 100

Thus, the side lengths 8 cm, 6 cm, and 10 cm that can form a right triangle option (B), (C), and (D) are correct.

Learn more about the right angle triangle here:

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Answer:

Volume of a sphere = 4/3πr³

π = 3.14

r = radius which is 3in

Volume = 4/3 × 3.14 × 3²

= 37.68

= 38 cubic inches to the nearest hundredth

Hope this helps

Answer:

38 cubic inches

Step-by-step explanation:

Answer: B) 76.86

Step-by-step explanation:

Follow the steps others took to get D, then divide by 12 to get 76.86

Hope it helps <3

Answer:

5n = 1.75

Step-by-step explanation:

The 2 bars are equal thus lower equals upper, that is

5n = 1.75

Answer: The area is 24 square units.

Step-by-step explanation:

Things you need to use in this exercise:

Area of a circle = pi*r^2

r is the radius, equal to half the diameter.

Ok, in the image we can see 3 half-circles.

one has a diameter of 8 units: with area A (the left one)

other has a diameter of 6 units: with area B (the bottom one)

and the other has a diameter equal to the hypotenuse of the right triangle: with area C (the white semicircle that also includes the right triangle)

Now, you can think the shaded area as:

The sum of the areas of the half circles A and B, minus the area of the half-circle C, plus the area of the right triangle (because the white triangle is also included in the white semicircle)

So the area is:

A + B - C + area triangle

A = pi*(8/2)^2 = 3.14*4^2 = 50.24

B = pi*(6/2)^2 = 3.14*3^2 = 28.26

the area of the triangle is equal to:

T = 6*8/2 = 24

Now, to obtain the area of the white semicircle ( C) we need the hypotenuse of the triangle, so here we can use the Pythagorean's theorem:

H^2 = 8^2 +6^2

H = √(8^2 + 6^2) = 10

Then:

C = pi*(10/2)^2 = 3.14*5^2 = 78.5

Then the shaded area is:

Area = 50.24 + 28.26 + 24 - 78.5 = 24

Answer:

It would take 100 days

Step-by-step explanation:

2,000,000 divided by 20,000 equals 100

So it would take 100 days

Answer:

1/20.

Step-by-step explanation:

Dividing by 4 is the same as multiplying by 1/4 so

1/5 / 4

= 1/5 * 1/4

= 1 /(5*4)

= 1/20.

Answer:

Step-by-step explanation:

[tex] \frac{1}{5} \div 4[/tex]

Flip the second fraction and multiply

Dividing fraction is exactly same as multiplying the reciprocal

[tex] \frac{1}{5} \times \frac{1}{4} [/tex]

Multiply the fractions

[tex] \frac{1 \times 1}{5 \times 4} [/tex]

Calculate

[tex] \frac{1}{20} [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

x =- 3 and y = -7

Step-by-step explanation:

2X-2Y=-8

X=2y + 11

We need to isolate both X and Y in both equations

so

2x-2y=-8

(add 2y to both sides)

2x=-8+ 2y

(divide both sides by 2)

x=-4+y and x=2y+11

because both of these equations are the same we can put them together

4+y=2y+11

(subtract y)

4=y+11

(subtract 11)

-7=y

so y = -7

then to find x you just need to plug in y to one of the equations

x=2(-7) + 11

x= -14 +11

x = -3

Answer:

x = - 19, y = - 15

Step-by-step explanation:

Given the 2 equations

2x - 2y = - 8 → (1)

x = 2y + 11 → (2)

Substitute x = 2y + 11 into (1)

2(2y + 11) - 2y = - 8 ← distribute and simplify left side

4y + 22 - 2y = - 8

2y + 22 = - 8 ( subtract 22 from both sides )

2y = - 30 ( divide both sides by 2 )

y = - 15

Substitute y = - 15 into (2) for corresponding value of x

x = 2(- 15) + 11 = - 30 + 11 = - 19

Solution is x = - 19, y = - 15

Answer:

Angle 5

Step-by-step explanation:

Answer:

Angle 5

Step-by-step explanation:

Angle 8 is across from angle 5 meaning they have the same degrees.

Answer:

Hi !

You need to use the  "cosine rule" :

d² = 24² + 32² - (2 x 24 x 32)cos125°

So == >  d² = 1600 - 1536cos125°

Then ==> d² = 2481.013406

Conclusion == > d = 49.8 nautical miles

The distance between the ships after 2 hours is 49.8 nautical miles

; )

Answer:

$8,355.555

Step-by-step explanation:

Hello,

This question relates to compound interest and to solve it, we'll need to use the right formula.

C.P = P(1 + r/n)^nt

C.P = compound interest

P = principal

R = rate

N = number of times compounded

T = time

C.P = $47,000

P = ?

R = 5% = 0.05

N = 4

T = 35 years

Substituting the variables into the equation,

47,000 = P (1 + 0.05 / 4) ^ (4 × 35)

47,000 = P (1.0125) ^ 140

47,000 = P × 5.625

Divide both sides by 5.625 and solve for P

P = 47,000 / 5.625

P = $8,355.555

The initial investment was $8,355.555

Answer:

Because ΔABC ≅ ΔDEC, ∠B ≅ ∠E by CPCTC which means:

2x + 31 = 7x - 24

-5x = -55

x = 11°.

we need the graph/ lines,

but just remember

wherever 2 lines intersect, that is a solution

if they are paralell, no solutions

if they cross, 1 solution

if they are the same line/ the lines are on top of each other exactly, infinite solutions

Answer:

Height = 3cm

Volume = 50.27cm^3

Step-by-step explanation:

Well to solve for the height with slant height and radius we can use the Pythagorean Theorem,

Which is [tex]a^2 + b^2 = c^2[/tex].

So we have c and a, so we have to fill those in.

(4)^2 + b^2 = (5)^2

16 + b^2 = 25

-16

b^2 = 9

[tex]\sqrt{b} \sqrt{9}[/tex]

b = 3cm

So to find the volume of a cone we use the following formula [tex]\pi r^2 \frac{h}{3}[/tex].

So we have the radius and height so we just fill those in.

(pi)(4)^2(3)/3

(pi)16(1)

pi*16

About 50.27cm^3