Mathematics High School

PGR is a right-angled triangle.

Work out the size of angle PGR. Give your answer correct to 1 decimal place.

PGR Is A Right-angled Triangle. Work Out The Size Of Angle PGR. Give Your Answer Correct To 1 Decimal

Answers

Answer 1

Answer:

PQR = 67.4 degrees

Step-by-step explanation:

Here, we want to find the size of PQR

to do this, we proceed as follows

As we can see PR is the opposite while PQ is the hypotenuse

The trigonometric identity connecting the two is the sine

sine is the ratio of the opposite to the hypotenuse

sin Q = 12/13

Q = sin^-1(12/13)

Q = 67.4 degrees

Related Questions


Pls help it would be a big help rn

Answers

Answer:

1.5 g/mm³

Step-by-step explanation:

Density = [tex]\frac{Mass}{Volume}[/tex]

[tex]\frac{3}{2}[/tex] = 1.5 g/mm³

The cost to manufacture a hair clip is $0.50. With a markup of 200%, what is the selling price of this hair clip?

Answers

Answer:

Step-by-step explanation:

The cost to manufacture a hair clip is $0.50. With a markup of 200%, what is the selling price of this hair clip?

Given data

cost to manufacture a hair clip is $0.50

markup of 200%

Required

The selling price

We know that

Mark up percent= selling-cost/cost*100

200= selling-0.5/0.5*100

200-selling= 50/0.5

200-selling= 100

selling= 200-100

selling = 100

Hence the selling price is $100

Pls help semester ends to day pls help with both 16 and 17

Answers

Answer:

Step-by-step explanation:

16. -73.5 ft / 3 min = -24.5 ft/min

17. ($50.25 - $22.50 + $50.25 - $22.50 - $22.50) / 5 = $33 / 5 = $6.60

Answer:

16.-73.5÷3=-24.5 feet per minute

17.(50.25-22.5+50.25-22.5-22.5)÷5=6.6

What value of x makes the equation 3(x – 6) – 8x = –2 + 5(2x + 1) true? Explain your answer

Answers

Answer:

x = -7/5

Step-by-step explanation:

3( x - 6 ) - 8x = -2 + 5(2x + 1)

3x - 18 - 8x = -2 + 10x + 5

-5x - 18 = 3 + 10x

-5x - 10x = 3 + 18

-15x = 21

x = [tex]-\frac{7}{5}[/tex]

Does anybody know the answer to this I just need to finish the homework assignment to work on other stuff lol

Answers

Answer: C

Step-by-step explanation:

Solve the quadratic equation 3x^2-9x+1=0.
Please help.

Answers

Answer:

Exact Form-9+√69÷6

Decimal form-2.88443731

Step-by-step explanation:

Line k is parallel to line l. Lines k and l are parallel. Lines m and n intersect to form 2 triangles. The top triangle has angles 1, 2, 3 and the bottom triangle has angles 4, 5, 6. Which angle is congruent to Angle 4? Angle 1 Angle 2 Angle 5

Answers

Answer:The line that is congruent to angle 4 is angle 1

hope this helped :)

Answer:

a

Step-by-step explanation:

I need help what is the diameter of this circle?​

Answers

Answer:

14cm

Step-by-step explanation:

the diameter is 2x the radius

The full distance from side to side, or radius multiplied by 2!

Solve for a missing factor,
1. ____ x 10 = 320

2. 10 x 17 = ____

3. ____ tens = 290

Answers

Answer:

1. 32

2. 170

3. 29

Step-by-step explanation:

1. is just 10 divided by 320, which gives you 32

2. is 10 times 17 which is 170

3. you need 29 tens to get 290.

1. 32
2. 170_________

Katie's business is going so well she wants to expand and add a shirt. She makes an isosceles triangle logo like the one below.

What is the angle of B

Answers

I think u forgot to put pic for we can see the triangle
Can u give us how the angle looks please if you could?

Please help
Due asap SHOW a workings please

Answers

Answer:

A

Step-by-step explanation:

1) first there are a few rules we need to know:

a) the sum of any two sides of a triangle is always larger than the 3rd side

b) the difference between any two sides of a triangle is always smaller than the 3rd side;

hence,

3+4=7

4-3=1

triangle 3,4,5 follows all the rules,

triangle 13,2,11:

11+2=13

the sum of any two sides must always be GREATER than the 3rd side-so this is not an option

triangle 10,4,5

5+4=9

9<10

not an option

−2(x + 9) + 25 = 14 − 3x
(step by step pls)

Answers

Answer:

-2x+18+25=14-3x

collect like terms

-2x+3x=14-25-18

x=29

Find the smallest number that is divisible by both 18 and 48.

Answers

Answer:

144

Step-by-step explanation:

write out the 18 and the 48 times tables until you find the smallest number that is in both times tables. and there's your number :)

PLEASE HELP ITS IMPORTANT omll

Answers

Answer:

F(x)= 3x-4

Step-by-step explanation:

To find the slope use the formula y2-y1  

                                                          x2-x1

(2,2)

(0,-4)

-4-2 = -6   = 3x

0-2      -2

Quick whoever gives the right answer gets brainliest

Answers

Answer:

The independent variable (IV) is the amount of hamburgers

Step-by-step explanation:

The amount of hamburgers influence the sale amount.

Kevin bought a used guitar at a garage sale
for $150. He fixed it up and sold it for
$200. What was the approximate percent of
increase?

Answers

Answer:

34%

Step-by-step explanation:

Answer

33.3%

Step-by-step explanation

Samantha buys a shirt that costs $28.50. She uses a
30% coupon. What will Samantha pay for the shirt?

Answers

Samantha buys a shirt that costs $28.50. She uses a
30% coupon. What will Samantha pay for the shirt?
ANSWER IS 8.55

9. Factorize: 6x2 - 19x + 14.​

Answers

Answer:

Step-by-step explanation:

Here, we want to factor the given polynomial

We have this as;

6x^2 - 19x + 14

= 6x^2 -12x-7x + 14

= 6x(x-2) -7(x-2)

= (6x-7)(x-2)

6x^2-19x + 14 = (6x-7)(x-2)

HELP ME PLS...................TY

Answers

Answer:

E

Step-by-step explanation:

the only one where all the pieces of the equation have the same signs

Marcel and Floyd are playing games at an arcade. Marcel has $8.25 and is only playing $0.25 games. Floyd has $9.75 and is only playing $0.75 games. Jorge wants to find the number of games after which Marcel and Floyd will have the same amount of money remaining. Jorge’s work is shown below.

Let x = the number of games played.

Equation: 8.25 minus 0.25 x = 9.75 minus 0.75 x. Step 1: negative 1.50 minus 0.25 x = negative 0.75 x. Step 2: negative 1.50 = 0.50 x. Step 3: negative 3 = x.


Jorge knows his answer is incorrect because it does not make sense to have a negative number of games. What is Jorge’s error?
The variable x should represent the amount of money left.
From Step 1 to Step 2, Jorge did not add 0.25x correctly to both sides.
The equation should have sums on both sides.
From Step 2 to Step 3, Jorge should have subtracted 0.50x from both sides.

Answers

Answer:

The variable x should represent the amount of money left.

Step-by-step explanation:

im not sure but this one makes sense

Answer:

The Answer to this problem is (A)

St)ep-by-step explanation:

The variable x should represent the amount of money left.

Which is the better buy on potatoes?
3 lbs. for $.90
5 lbs. for $1.60

Answers

Answer:

3 pounds for 90 cents.

Step-by-step explanation:

The 5 pound bag costs 32 cents a pound

The 3 pound bag is 30 cents a pound

a certain state the license plate has two digits, then two letters, and then two digits. How many different license plates are possible if letters and digits cannot be repeated?

Answers

Step-by-step explanation:

Choosing 4 digits out of 10 = 10C4 = 210.

Arranging the 4 digits in 4 places = 4!

Total number of ways to arrange digits

= 210 * 4! = 5040.

Choosing 2 letters out of 26 = 26C2 = 325

Arranging the 2 letters in 2 places = 2!

Total number of ways to arrange letters

= 325 * 2! = 650.

Total number of possible license plates

= 5040 * 650 = 3,276,000.

Answer:

3,276,000

Step-by-step explanation:

10 x 9 x 26 x 25 x 8 x 7 = 3,276,000

the numbers 10, 9, 8, 7 are the spaces available for a non-duplicated digit

the numbers 26 and 25 are for two non-duplicated letters

Three support beams for a bridge form a pair of complementary angles. Find the measure of each angle. (4x) (3x+13)

Answers

Answer:

12x2+52x

Step-by-step explanation:

A subway car travels at a rate of 32 meters per second. How far does it travel in 16 seconds? Use d= r x t *

Answers

Answer:

distance= 16×32

d= 512

got it?

If 8x−5y=−3 is a true equation, what would be the value of 8x−5y+7?

Answers

Answer:

Value of 8x -5y + 7 is 4.

Step-by-step explanation:

Given that:

8x-5y = -3     Eqn 1

It is a true equation.

Now we have to find the value of the given expression

8x -5y + 7

Putting value of 8x-5y from Eqn 1 in the given expression

8x - 5y + 7

-3 + 7

4

Therefore,

8x - 5y + 7 = 4

Hence,

Value of 8x -5y + 7 is 4.

Please can i get help

Answers

Answer:

[tex]\frac{1}{3}x+\frac{1}{2}[/tex]

Step-by-step explanation:

hope this helps :)

helpppppppppppppppp i dont know this

Answers

Answer:

f(- 3) = - 16

Step-by-step explanation:

To evaluate f(- 3) with x = - 3 in the interval x ≤ - 2, then

f(- 3) = 5x - 1 = 5(- 3) - 1 = - 15 - 1 = - 16

Explain how to describe the data on a histogram. Write 3-5 sentences.

Answers

PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG. PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG. PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG.

Consider the two expressions.

Expression 1 −4(9x−2)+3
Expression 2 −36x+k
What value of k will make the two expressions equivalent

Answers

Answer:

11

Step-by-step explanation:

i need help with these asap i will award brainleast for whoever gets it right *ONLY ANSWER IF U KNOW PLEASE*

Answers

Q1 a=60 b=60 c=120 Q2= a=64 c=64 b=52 Q3 w=41 v==49 very easy questions

Answer:

Q1) a = 60

Q2) A = 64

Q3 = A =

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