In the figure, KP = 50, KQ = 45, PQ = 38. What is RQ?​

Answers

Answer 1

Answer:

18

Step-by-step explanation:

Find the diagram attached

From the diagram

PR + RQ = PQ

PR + RQ = 38

PR = 38 - RQ

using similar triangle;

KQ/RQ = KP/PR

45/RQ = 50/38-RQ

Cross multiply

50RQ = 45(38-RQ)

50RQ = 1710 - 45RQ

50RQ + 45RQ = 1710

95RQ = 1710

RQ = 1710/95

RQ = 18

Hence the length of RQ is 18

In The Figure, KP = 50, KQ = 45, PQ = 38. What Is RQ?

Related Questions

Simplify the expression 35e^9/5e^8

Answers

[tex] \frac{35e {}^{9} }{5 {e}^{8} } \ \\ \\ \frac{7e {}^{9} }{e {}^{8} } \\ \\ \\ = 7e[/tex]

Step By Step Explanation:

Reduce: Reduce the fraction with 5Simplify: Simplify the expression

Alternate Forms:

19.02797

☆彡Hanna

HELP PLZ ALMOST DONE!!!

Answers

Answer:

A = 30 inches^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2)h  where b1 and b2 are the lengths of the bases

A = 1/2 ( 10+5) * 4

A = 1/2 (15)*4

A = 30 inches^2

Answer:

Area of trapezoid is 30 inches ².

Step-by-step explanation:

Question :-

A trapezoid having length of Base ¹ and Base ² are 10 in. and 5 in. and it's height is 4 in. Find the area of trapezoid.

Solution :-

Area of trapezoid is given by

= 1/2 × ( B¹ + B² ) × h

Where, B¹ = 10 in.

B ² = 5 in.

h = 4 in.

substitute the values

Area = 1 / 2 × ( 10 in × 5 in ) × 4 in

multiplying the values

Area = 1 / 2 × 15 in. × 4 in

Area = 1 / 2 × 60 in ².

Area = 30 in².

Hence, Area of trapezoid is 30 inches ².

Find the volume of the given prism.

A) 6,336
B) 3,568
C) 1,784
D) 1,920

Answers

Answer:

[tex]\text{D. }1,920}\:\mathrm{in^3}[/tex]

Step-by-step explanation:

The volume of a rectangular prism is given by [tex]A=l\cdot w\cdot h[/tex], where [tex]l[/tex] is the length of the prism, [tex]w[/tex] is width, and [tex]h[/tex] is height.

Therefore, the area of the given prism is equal to [tex]8\cdot 12 \cdot 20=\boxed{\text{D. }1,920\:\mathrm{in^3}}[/tex].

x^2+2x+7=21 the approximate value of the greatest solutoon to the equation, rounded to the nearest hundreth​

Answers

9514 1404 393

Answer:

  x ≈ 2.87

Step-by-step explanation:

We  can subtract 6 to put the equation into a form easily solved.

  x^2 +2x +1 = 15

  (x +1)^2 = 15

  x +1 = √15 . . . . . for the greatest solution, we only need the positive root

  x = √15 -1 ≈ 2.87

Pls help school is almost over

Answers

Answer:

correct answer is c

Step-by-step explanation:

2.44x10^-3

Cual es la ecuación de la recta dado su pendiente m=2 y p(2,3)

Answers

Answer:

y=2x-1

Step-by-step explanation:

La ecuación es:

y = 2x -1 .

What is the area of the triangle ?

A) 64
B) 56
C) 48
D) 112

Answers

Answer:

[tex]\text{B) }56\:\mathrm{cm^2}[/tex]

Step-by-step explanation:

The area of a triangle with height [tex]h[/tex] and base [tex]b[/tex] is given by [tex]A=\frac{1}{2}bh[/tex]. By definition, the base and the height must intersect at a 90 degree angle. Therefore, the diagram gives a base of 14 cm and a height of 8 cm. Substituting these values, we get:

[tex]A=\frac{1}{2}\cdot 8\cdot 14=\boxed{\text{B) }56\:\mathrm{cm^2}}[/tex]

Dave wants to build a rectangular screened-in porch that is 20 feet long, and it will extend 6 feet out from the backside of his house.


Dave sketches a scale drawing of the porch. Choose a reasonable size and scale for Dave’s drawing of the porch. How should Dave label the dimensions of the model?

Answers

Answer:

Scale of the drawing would be 20/12 inch and 0.6 (6/12) inch

Step-by-step explanation:

For most of the residential buildings an scale of 1 inch = 12 feet can be used to draw the residential units.

In that case the scale of the drawing would be 20/12 inch and 0.6 (6/12) inch

Dave should label the dimensions in inches

Please solve for angle C

Answers

Answer:

29

Step-by-step explanation:

tan c = opposite / adjacent

c = tan -1 (25/45) = 29

Answer:

Step-by-step explanation:

tan C = opp/adj

sin C = 25/45

sin C = 0.5556

C = sin^-1 0.5556

= 33.75

Which expression has a value of 24?

A 12+16÷(4+2)×2

B (12+16)÷4+2×2

C. 12+16÷(4+2×2)

D. 12+(16÷4+2)×2​

Answers

Answer:

the last one

Step-by-step explanation:

12+(16/4+2)2

12+(4+2)2

12+6*2

12+12

24

Answer:

D

Step-by-step explanation:

A. 17.33

B. 11

C. 14

D. 24

AB = 6 cm, AC = 12 cm
Calculate the length of CD.
Give your answer to 3 significant figures.
12 cm
55°
6 cm

Answers

Answer:

12.7 cm

Step-by-step explanation:

We can obtain CB using Pythagoras :

CB = √12² - 6²

CB = √108

CB = 10.39

Using CB,

We can apply trigonometry on triangle BCD to obtain the length of CD

Sin θ = opposite / hypotenus

Sin 55 = CB / CD

Sin 55 = 10.39 / CD

CD = 10.39 / sin 55

CD = 12.68

CD = 12.7 cm

An open tank is to be constructed with a square base of side x metres with four rectangular sides. The tank is to have a capacity of 108m^3. Determine the least amount of sheet metal from which the tank can be made?

Answers

Answer:  roughly 151.81788 square meters of metal

=====================================================

Explanation:

The base is a square with side lengths x, so its area is x*x = x^2

Let h be the height of the tank. We have four identical wall panels that have area of xh square meters. The four walls lead to a lateral surface area of 4xh. Overall, the entire tank requires x^2+4xh square meters of metal. We're ignoring the top since the tank is open.

-----------

Let's set up a volume equation and then isolate h.

volume = length*width*height

108 = x*x*h

108 = x^2*h

x^2*h = 108

h = 108/(x^2)

-----------

Plug that into the expression we found at the end of the first section.

x^2+4xh

x^2+4x(180/(x^2))

x^2+(720/x)

------------

Depending on what class you're in, the next step here will vary. If you are in calculus, then use the derivative to determine that the local min happens at approximately (7.11379, 151.81788)

If you're not in calculus, then use your graphing calculator's "min" feature to locate the lowest point on the f(x) = x^2+(720/x) curve.

This lowest point tells us what x must be to make x^2+(720/x) to be as small as possible, where x > 0.

In this context, it means that if the square base has sides approximately 7.11379 meters, then you'll need roughly 151.81788 square meters of metal to form the open tank. This is the least amount of metal required to build such a tank, and that will have a volume of 108 cubic meters.

the perimeter of a rectangular painting is 304 CM. If the width of the paint is 63 cm what is the length​

Answers

Answer:

The PERIMETER P is the distance around the rectangle.

Let's call the width of the rectangle W and the length of the rectangle L.

As you go around the edge there two equal lengths and two equal widths.

The formula for the perimeter of a rectangle is P=2*L+2*W.

P=2L%2B2W

Substitute 290 for P and 62 for the width.

290=2L%2B2%2862%29

Solve for L.

290=2L%2B2%2862%29

290=2L%2B124

290-124=2L

2L=166

L=83

The equation L=83 means that the length is 83 cm.

CHECK your work.

2(62)+2(83) = 124+166 = 290cm.

The length of the rectangle is 83cm.

Does this a graph show a function? Explain how you
know.
O A. Yes; there are no y values that have more than one x-value.
O B. No; there are y-values that have more than one x-value.
O C. Yes; the graph passes the vertical line test.
O D. No; the graph fails the vertical line test.

Answers

Answer:

D. No; the graph fails the vertical line test.

Step-by-step explanation:

If any vertical line intersects a graph more than once it is NOT a function

in the right triangle ABC mc=90, a=4, and sinA=1/2. what is the length of the hypotenuse?

Answers

Answer:

The length of the hypotenuse is 8 units

Step-by-step explanation:

Recall the notation SOH CAH TOA. This means that in  aright angled triangle,

Sin A = a/c where a is the length of the opposite side and c is the length of the hypotenuse.

Given that sinA=1/2 and a = 4, the hypotenuse c

sin A = 4/c

1/2 = 4/c

cross multiply

c * 1 = 4 * 2

c = 8 units

help please anyone ??

Answers

It’s the second one trust
The second one is correct I guess

HELPPPPP!!!
Jack and Joey went to the store to buy candy. Jack bought 5 Hershey bars and 2 packs of
starbursts for $12. Joey bought 3 Hershey bars and 4 packs of starbursts for $13.50. Let x equal the cost of one Hershey bar and y equal the cost of one pack of starbursts.
8a) Write a system of equations that describes the situation above.

8b) using the equations from part a, determine the cost of one Hershey bat and the cost of one pack of starburst in dollars and cents

Answers

Answer:

5x + 2y = 12

3x + 4y = 13.50

One Hersey bar = 1.5

One pack of Starburst = 2.25

Step-by-step explanation:

Let :

Cost of one Hersey bar = x

Cost of one pack of Starburst = y

System of equation :

For Jack :

5x + 2y = 12 - - - (1)

For Joey :

3x + 4y = 13.50 - - - (2)

To determine the cost per Hersey bar and pack of Starburst

5x + 2y = 12 - - - (1)

3x + 4y = 13.50 - - (2)

Multiply (1) by 3 and (2) by 5

15x + 6y = 36 - - - (3)

15x + 20y = 67.50 - - - (4)

Subtract (4) from (3)

-14y = - 31.50

y = 31.50 / 14

y = 2.25

Using (1)

5x + 2y = 12

Put y = 2.25

5x + 2(2.25) = 12

5x + 4.50 = 12

5x = 12 - 4.50

5x = 7.50

x = 1.5

24)
Evaluate:

(-4) - (-16) + (-10) - (-1) - (14) + (11)

Answers

Answer:

I think its 0.

Step-by-step explanation:

Double negatives make a positive, add the like terms. Hope this helps

The Isosceles Trapezoid is part of an Isosceles triange with a 32° vertex angle. What is the measure of an acute base angle of the trapezoid?​

Answers

Answer:

[tex]b = 74^o[/tex] --- acute base

Step-by-step explanation:

Given

See attachment for the figure

Required

The acute base angle of the trapezoid

From the question, the isosceles triangle and the trapezoid share the same base.

Represent the base angle with b.

So:

[tex]b + b + 32^o = 180^o[/tex] --- angles in a triangle

[tex]2b = 180^o-32^o[/tex]

[tex]2b = 148^o[/tex]

Divide by 2

[tex]b = 74^o[/tex]

A rectangle has a length of 12.6 m and a width of 6.3 m. A similar rectangle has a width of 2.1 m. What is the length of the similar rectangle?

Answers

Step-by-step explanation:

Please see the photo for the method

A drone is originally priced at 110$. The online retailer gives a discount and the drone is now $88 . enter the percentage discount for the cost of the drone.

Answers

Answer:

20%

Step-by-step explanation:

Decrease in amount = original - new amount

Decrease in amount = 110 - 88 = $22

Decrease % = decrease/original x 100%

= 22/110 x 100%

= 20%

lim x->1+( sin(1-x)-(e^(x-1))+1)/ lnx

Answers

We're given the one-sided limit,

[tex]\displaystyle\lim_{x\to1^+}\frac{\sin(1-x)-e^{x-1}+1}{\ln(x)}[/tex]

Evaluating the limand directly at x = 1 gives the indeterminate from

(sin(1 - 1) - exp(1 - 1) + 1) / ln(1) = 0/0

so we can potentially solve the limit by applying L'Hopital's rule. Doing so gives

[tex]\displaystyle\lim_{x\to1^+}\frac{\sin(1-x)-e^{x-1}+1}{\ln(x)}=\lim_{x\to1^+}\frac{-\cos(1-x)-e^{x-1}}{\frac1x}=\frac{-\cos(0)-e^0}{\frac11}=\boxed{-2}[/tex]

what is 2,799.89 x 4,984.76
!please answer i want to know!

Answers

Answer:

13,956,779.6764

Answer:

13956 779.7 (•‿•) this is my ans.

In order to help decide when and where to advertise, an outdoor equipment repair company decided to pull invoices and tally what types of power tools were repaired. There were twenty-five power tools repaired that month. What is the level of measurement for the data

Answers

Answer:

The answer is "nominal, qualitative".

Step-by-step explanation:

The information available is not numerically structured in a form name.

The measuring level is therefore nominal. Qualitative information is also called, which can be seen but not measured. Thus data given is qualitative. 

please help picture included
Match the verbal expression (term) with its algebraic expression (definition). Match Term Definition Some number A) a = 2 increased by two A variable decreased B) b + 2 by two Product of an C) y2 unknown value and two D) X - 2 Quotient of some number and two An unknown value E) 22 squared​

Answers

9514 1404 393

Answer:

  B, D, E, A, C

Step-by-step explanation:

The main idea here is to use your English comprehension skill to determine the meaning of the phrase, then use your math understanding to write it in symbols. Turning off your brain at the sight of a "word problem" will not be productive.

The wording "some number" or "a variable" or "unknown value" all refer to a variable, typically represented by a single letter. Letters commonly use are {a, b, c, x, y, z}, but variables are not restricted to that set (nor to single letters, nor lower case letters).

In most cases, the math expression is a direct translation of the English expression using the usual math symbols. Values are generally increased by addition, decreased by subtraction, squared using an exponent of 2. A product is the result of multiplication, and a quotient is the result of division.

Top-to-bottom, the boxes on the left will be filled with B, D, E, A, C.

A parallelogram is shown below: A B A 2 foot D с 3 feet Part A: What is the area of the parallelogram? Show your work. (5 points) Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 points)​

Answers

9514 1404 393

Answer:

  Part A: 2 ft²

  Part B: draw a diagonal (AC, for example); 1 ft²

Step-by-step explanation:

Part A:

The area of a parallelogram is given by the formula ...

  A = bh

where 'b' is the length of the base, and 'h' is the perpendicular distance between the bases.

Using the numbers shown on the diagram, the area is ...

  A = (3 ft)(2/3 ft) = 3·2/3 ft²

  A = 2 ft² . . . . . area of the parallelogram

__

Part B:

Typically, a polygon is partitioned into triangles by drawing diagonals from one of the vertices. It does not matter which one. (In a quadrilateral, only one diagonal can be drawn from any given vertex.) Here, the "base" of each triangle is the same as the base of the parallelogram: 3 feet. The "height" of each triangle is the same as the height of the parallelogram: 2/3 ft.

The area of a triangle is given by the formula ...

  A = 1/2bh

  A = 1/2(3 ft)(2/3 ft) = (1/2)(3)(2/3) ft²

  A = 1 ft² . . . . . . . . area of each triangle

_____

Additional comment

It should be no surprise that the area of each of the two congruent triangles is 1/2 the area of the parallelogram.

estimate the quotient for the following problems. 482 ÷ 5 ​

Answers

Answer:

100

Step-by-step explanation:

482 ÷ 5 = 96.4

96.4 -> 100

Hope this helps! Brainliest?

Answer:

Quotient: 96

Step-by-step explanation:

482/5= 96R2

Quotient: 96

Remainder: 2

x−9≥−12 Express your answer as an inequality.

Answers

Answer:

x ≥ −3

Step-by-step explanation:

Step One : Add 9 to both sides.

x − 9 + 9 ≥ −12 + 9

x ≥ −3

There is no more to be done, that is our answer. x ≥ −3.

Hope this helps, please mark brainliest! :)

Randi bought a wallet for $8.33. She paid with a $20 bill. Which of the following could be the change she received?

A. 1 $10 bill, 1 $1 bill, 2 quarters, 1 dime, 1 nickel, and 2 pennies

B. 1 $10 bill, 1 $1 bill, 2 quarters, 1 dime, 2 nickels, and 2 pennies

C. 1 $10 bill, 1 $1 bill, 3 quarters, 1 dime, 1 nickel, and 2 pennies

D. 1 $10 bill, 1 $1 bill, 2 quarters, 2 dimes, 1 nickel, and 2 pennies

Answers

Answer:

A.

Step-by-step explanation:

She would receive $11.67

A is the correct math

i’m pretty sure that the answer is S

Find the Laplace Transform of the following function.

f(t) = 10 cos (12t+ 60°) u(t)

Answers

Answer:

L(f(t)) = [tex]\frac{5s - 60\sqrt{3} }{s^2 + 144}[/tex]

Step-by-step explanation:

f ( t ) = 10 cos ( 12t + 60°) u(t)

attached below is a detailed solution of the given problem

L(f(t)) = [tex]\frac{5s - 60\sqrt{3} }{s^2 + 144}[/tex]

Other Questions
Deet, an unmarried taxpayer, qualified to itemize deductions. Deet's adjusted gross income was $40,000 and he made a $1,500 substantiated cash donation directly to a needy family. In the same year, Deet also donated art, valued at $11,000, to a local art museum. Deet had purchased the artwork two years earlier for $2,000. What was the maximum amount of the charitable contribution allowable as an itemized deduction on Deet's income tax return Find the measures of the angles marked x and y Remember that ( 1 ) the sum of the measures of the angles of a triangle is 180 and (2) supplementary angles have a sum of 180 what type of operating systems do you think are used in banks Observational Research is defined as A). An idea generated by scientists based on their observationsB). A stepwise process used by scientists to evaluate different observational techniques C). A Process that involves looking at factors in two or more groups of subjects to see if there is a relationship to certain outcomes? Given the declaration: char a[] = "Hello"; char *p = a, *q; what operations are valid syntactically? Select all that apply. Group of answer choices q = &&a[0]; q = &&a; *q = *(&a[0]); q = &(*p); Please Solve all of it and the answer format should be like this1:(Answers Here)2:(Answers Here)etc. WILLY WONKA BOOK!!!Of the four children who were sent home, which onewould you rather be? Why? Which of the four childrenwould you LEAST like to be? Why?Write at least 3 to 4 sentences. Is there any evidence that one type of high school might better equip students to attain high academic honors at this college? 11. It refers to the information that supports the claim.A. referenceB. evidenceC. citeD. issue why metal can be stretched into wire Which statement is true of persuasive writing in an academic context? What is the impact of the african salade trade on africa? Calculate half yearly payment required for each five year intervals Which act of Congress prevents monopolies? Help find area of this Find the number of solutions of the equation 6x^2+6x+3=0 by using the discriminant Pick the correct relationship between magnetic polesA North poles attract both like and opposite polesB South poles attract both like and opposite polesC Opposite poles repel while like poles attractD Like poles repel while opposite poles attract how government have supported communities affected by human rights violations A group of fibers inside the cell that helps support the cell is the _____.filamentflagellamicrotubulecytoskeleton Help is this the correct answer