Given: PSQ, PS = SQ PPSQ = 50 SQ PQ = 1 Find: Area of PSQ

Given: ΔPSQ, PS = SQ PΔPSQ = 50 SQ – PQ = 1 Find: Area of ΔPSQ

Answers

Answer 1

The first part is to find the length SQ which is equal to SP.
Use the sine rule.
SQ/sin 65 = (SQ - 1)/Sin50
(sin50)/(sin 65) = (SQ-1)/SQ
0.8452(SQ) = SQ-1
0.1547SQ = 1
SQ = 6.46
The formula to apply here is:
Area=1/2(SQ)(SQ)sin50
= 0.5 × 6.46 × 6.46 × sin50
= 15.984

Related Questions

Eight times the sum of a number and one is -8

Answers

x= a number
times= multiply
sum= add

8(x + 1)= -8
multiply 8 by parentheses

(8*x) + (8*1)= -8

8x + 8= -8
subtract 8 from both sides

8x= -16
divide both sides by 8

x= -2

CHECK:
8(x + 1)= -8
8(-2 + 1)= -8
8(-1)= -8
-8= -8

ANSWER: The number is -2.

Hope this helps! :)

can someone help me find the volume of these?

Answers

The volume of the triangular prism is:
V = (1/2) * (b) * (h) * (H)
Where,
b: base of the triangle
h: triangle height
H: prism height
Substituting:
V = (1/2) * (9) * (12) * (19)
V = 1026 cm ^ 3

The volume of the cylinder is:
V = (pi) * (r ^ 2) * (h)
Where,
r: radio
h: height
Substituting:
V = (3.14) * ((14/2) ^ 2) * (11)
V = 1692.46 yd^3

Jason ran 325 meters farther than Kim.Kim ran 4.2 kilometers.How many meters did Jason run?Estimate to check your answer

Answers

4.2 km=4.2*1000=4200 m Kim ran
Jason 4200+325=4525 m Jason ran

Convert km to m
4.2km = 4.2 x 1000 = 4200m

Jason ran 325m farther than Kim
⇒ 4200 + 325 = 4525m

Answer: Jason ran 4525m

how many cube shaped boxes with 12-inch edges can fit into a box that is 4 feet tall 4 feet long and 5 feet wide
A-20
B-27
C-68
D-80

Answers

the answer is d because you would take 4 x 4 x 5 and then you divide and you get 80

Dimensions of bigger box = 4ft x 4ft x 5ft

or, 48 in x 48 in x 60 in (Because 1 ft = 12 inch)

We know that, volume of a cuboid is:

V = length x breadth x height

Volumeo f big box = 48 x 48 x 60

= 138240 cubic inch.

Edge length of cube shape box = 12 inch

For cube, volume = edge^3

Volume of cube = (12)^3

= 1728 cubic inch

Number of cube shaped box that can fit into big box = Volume of big box / Volume of cube shaped box

= 138240 / 1728

= 80

Hence, correct answer is D-80.

Triangle cde maps to triangle lmn with the transformation (x,y) —> (x+3,y-2) —> (2/3x, 2/3y)
Of cd =9 what is lm?

Answers

The value of LM = 6.

Let's break down the given transformations for each point:

1. Original point: [tex]$ (x, y) $[/tex]

2. First transformation: [tex]$ (x+3, y-2) $[/tex]

3. Second transformation: [tex]$ \left(\frac{2}{3}(x+3)[/tex], [tex]\frac{2}{3}(y-2)\right) $[/tex]

Now, if CD = 9 in the original triangle, LM can be found using the scale factor of [tex]$ \frac{2}{3} $[/tex], as the second transformation involves scaling by [tex]$ \frac{2}{3} $[/tex].

[tex]\[ LM = \frac{2}{3} \times CD \]\\LM = \frac{2}{3} \times 9 \]\\LM = 6 \][/tex]

Therefore, LM = 6.

kathleen rolled a number cube that has sides labeled 1 to 6. What is the probability that she rolled a 2 or a 4

Answers

the probability would be 1/6 for each number but for this is would be 2/6

find the missing measure in each triangle with the given angle measure ? 45° , 35°,x°

Answers

45 + 35 + x = 180
80 + x = 180
80-80 = 0
180-80 = 100

The answer is x = 100°

Answer:

X=100

Step-by-step explanation:

Simplify ten to the sixth divided by ten to the negative third.

Answers

Exponential rules state that when you divide exponents, you subtract by the powers. The powers have the same coefficients, so you can divide the two numbers.

6 - (-3) = 9

The answer is [tex]10^9[/tex].

10⁶ ÷ 10⁻³

10⁶ = 10 × 10 × 10 × 10 × 10 × 10 = 1,000,000

10⁻³ = 1/1000 = 0.001

1,000,000 / 0.001 = 1,000,000,000

Answer = 1,000,000,000 = 10⁹

~Hope this helped~

You ran 4 miles. Rob ran half as far as you. Tim ran half as far as rob. Nicole ran half as far as tim. Write an expression for how far Nicole ran

Answers

4×(1/2)×(1/2)×(1/2)=0.5

Final answer:

Nicole ran 0.5 miles. The expression for Nicole's running distance, starting from your 4 miles run, is (4 / 2^3) or 4 / 8, which simplifies to 0.5 miles.

Explanation:

Expression for Nicole's Running Distance

The expression to find out how far Nicole ran is based on a sequence of halving distances starting from the original distance you ran. You ran 4 miles. Rob ran half as far as you, so Rob ran 4 miles / 2 = 2 miles. Tim ran half as far as Rob, therefore Tim ran 2 miles / 2 = 1 mile. Finally, Nicole ran half as far as Tim. Hence, Nicole ran 1 mile / 2, which is equal to 0.5 miles.

In a form of an expression, the distance Nicole ran can be represented as:

(4 / 2) / 2) / 2

Or simplified to:

(4 / 2^3)

Or,

4 / 8 = 0.5 miles

Stevens family traveled 240 miles in 4 hours. What was there average speed in miles per hour?

Answers

about 60 miles an hour

Answer:

60mph

Step-by-step explanation:

divide 240 by 4 it's easy that's

how I solve these types of questions so keep that in mind.

you spin a spinner the has 8 equal sized sections numbered. one to eight. Find P( 1 or 2 )

Answers

There is a 1/8 chance you'll land on 1, and a 2/8 chance you'll land on either 1 or 2.
This wasn't really a complete question but i hope i answered it!!
Fell free to ask questions :)

Final answer:

The probability of spinning a 1 or 2 on a spinner with eight equally sized sections can be calculated using the formula for probability, resulting in a probability of 0.25.

Explanation:

The question asks to find the probability of spinning a 1 or 2 on a spinner with eight equally sized sections, each numbered from 1 to 8. The problem is a straightforward application of the concept of probability in mathematics, which can be calculated by the formula P(E) = Number of favourable outcomes / Total number of outcomes.

In this case, the number of favourable outcomes (spinning a 1 or 2) is 2, and the total number of outcomes is the total number of sections on the spinner, which is 8. Therefore, the probability P(1 or 2) is computed as 2 / 8 = 0.25.

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The graph below displays the wrist circumferences and heights of six students in Alyssa’s classroom.

Is the height of these students a function of their wrist circumference?

A(Yes because as wrist circumference increases height also increases
B(Yes because a line can be fit to these data to predict other pairings.
C(No because the height of 151 cm is paired with two wrist circumferences.
D(No because the wrist circumference of 16 cm is paired with two heights.

Answers

Answer:

Option D(No because the wrist circumference of 16 cm is paired with two heights.

Step-by-step explanation:

In the given graph we have set of points representing the wrist circumferences and heights of six students in Alyssa’s classroom.

x axis represents the wrist circumference while y axis represent the height.

Any relation is called a function if for one value of x we have only one value of y. If the graph passes the vertical line test that is if a vertical line drawn touches the graph at only one point then the graph is called a function.In the given graph for x value x=16 there are two y values 162 and 165.So the graph is not a function.

Among all the options Option D(No because the wrist circumference of 16 cm is paired with two heights.) is the right answer.

The larger leg of a right triangle is 3 cm longer than its smaller leg. The hypotenuse is 6 cm longer than the smaller leg. How many centimeters long is the smaller leg?

Answers

Final answer:

To find the length of the smaller leg of the right triangle, we can use the Pythagorean theorem and solve the equation.

Explanation:

Let x be the length of the smaller leg of the right triangle. The larger leg is 3 cm longer, so its length is x + 3. The hypotenuse is 6 cm longer, so its length is x + 6.

According to the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, we have the equation: x^2 + (x + 3)^2 = (x + 6)^2.

Solving this equation will give us the value of x, which is the length of the smaller leg.

The next step in the solution for which equation could use the distributive property?

A. 4(t-6)=3t+9

B. 4•(t•6)=3t+9

C. 4t-6+3t=9

D. 4•t•1/4=3t+9

Answers

Hello there!

The correct answer is option A, because:

4(t - 6)
Use the distributive property

(4)(t) + (4)(-6)

So yeah, this is how the distributive property works.

Option A is the only option that works with the distributive property.

Let me know if you have questions about the answer. As always, it is my pleasure to help students like you!

just answer no need to explain lol

Answers

The correct answer for the question shown in the image attached is the third (option C), which is:

C. Shifted upwards by 28 units

The explanation is shown below:

1. The problem gives you the following linear function:

f(x)=ax+b

Where a is the slope and b is the y-intercept

2. When you graph that linear function, you obtain a line.

3. Therefore, if b (y-incercept) increases 28,000; the line will shifted 28 units upwards.

4. As you can see, the correct answer is the option mentioned above.

The fixed costs are represented by b.

Addition of $28,000 means, we are adding 28 to the given function. Addition/Subtraction of a number to the function brings only vertical shift not the horizontal shift.

Addition bring upward shift and Subtraction brings downward shift. So, increase of $28,000 will bring an upward shift of 28 units.

So, the correct answer is option C

please help solve 13 + m = 10
m = _____

Answers

-3 hope this helps ^_^

Hello there, and thank you for asking your question here on brainly.

Short answer: -3

Why?

To find out what m is, we have to subtract the two numbers. 10 - 13 => -3

Hope this helped you! ♥

Ebony wants to leave an 18% tip for a $19.82 restaurant bill. The tax is 6.25%, which is added to the bill before the tip.

Answers

if I understand correctly the price of the meal was 19.82 we need to then add tax and tip? If so here is how we go about it.
1. find the tax. we are told it is 6.25% in decimal form this is .0625. We need to multiply that by the total 19.82 to find the tax so
[tex]0.0625 \times 19.82 = 1.24[/tex]
so the tax is $1.24

2. Add the tax to the total
[tex]19.82 + 1.24 = 21.06[/tex]
3. calculate a 18% tip. we can do this in our head numerous ways (moving the decimal place to find 10% taking half of that for 5% and moving the decimal again for 1% multiply by 3 and add) but for space we will simply do the same as we did for tax
[tex]21.06 \times .18 = 3.79[/tex]
so our tip is $3.79
4. add the tip to the total
[tex]21.06 + 3.79 = 24 .85[/tex]
so with tax and tip her total is 24.85 However I have found it very common for people to tip just on the price before tax. if this is the case calculate the 18% based just on the original price and add that value plus the 1.24 tax

Ebony will pay a total of $24.85 for her meal after adding a 6.25% tax to the original price of $19.82 and then calculating an 18% tip on the resulting amount, which includes the tax.

The student, Ebony, needs to calculate the total cost of a restaurant bill which involves adding tax and a tip. The cost of her meal is $19.82, with a 6.25% tax to be added before calculating an 18% tip.

First, determine the sales tax amount by converting the percent to a decimal:
0.0625 × $19.82 = $1.24.

Add the sales tax to the meal's original cost to find the total before tip:
$19.82 + $1.24 = $21.06.

Next, calculate the tip amount by converting 18% to a decimal and multiplying by the post-tax total:
0.18 × $21.06 = $3.79.

To find the final amount Ebony will pay including the tax and tip, add the tip to the post-tax total:
$21.06 + $3.79 = $24.85.

Ebony will pay $24.85 at the restaurant's register, using either cash or a credit card, to cover her $19.82 meal with tax and tip.

write as a numerical expression subtract 50 from the sum of 6 and 4 to the tenth power

Answers

[tex](6+4^{10})-50[/tex]

The numerical expression for 'subtract 50 from the sum of 6 and 4 to the tenth power' is written as[tex](6 + 4^{10}) - 50,[/tex] following the order of operations.

To write the statement "subtract 50 from the sum of 6 and 4 to the tenth power" as a numerical expression, you would first calculate 4 to the tenth power, then add 6 to this result, and finally subtract 50 from the total sum.

The expression would look like this:

[tex](6 + 4^{10) - 50[/tex]

It's important to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Here, you calculate the exponent before adding 6 and then subtract 50 from the result.

HURRY PLZ!!!!!!!!!!!The cafeteria uses rectangular trays with a raised edge around them. The area of the flat surface of each tray is 228 and its length is 19 inches. What is the perimeter of the tray, where the raised edge is? To find the width, use the formula , where w represents the width, A represents the area and l represents the length. To determine the perimeter, use the formula , where P represents the perimeter, l represents the length, and w represents the width

Answers

62 inches.

2*(19+228/19)=62

Hope this helps!

Answer:

62 inches

Step-by-step explanation:

plz mark brainliest

Point Q is located at (-4, 6) Point R is located at (8, 6) What is the distance from point Q to point R?

Answers

[tex] \sqrt{ (8+4)^{2}+ (6-6)^{2} } [/tex]
↓
[tex] \sqrt{ 12^{2}+ 0^{2} } [/tex]
↓
[tex] \sqrt{144+0} [/tex]
↓
[tex] \sqrt{144} [/tex]
↓
12
The distance between Points [tex]Q[/tex] and [tex]R[/tex] is 12 units.
Have a nice day!

The distance from point Q to point R is 12 units.

The given coordinates are Q(-4, 6) and R(8, 6).

We need to find what is the distance from point Q to point R.

What is the formula to find the distance between two points?

The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.

Now, using the distance formula, we get

Distance=√(8+4)²+(6-6)²

=√144=12 units

Hence, the distance from point Q to point R is 12 units.

To learn more about the distance formula visit:

https://brainly.com/question/2287272.

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use the graph of f(x)to find the solutions to the equation f(x)=0.

Answers

We want to solve the following equality:
f (x) = 0
For this case, the first thing you should see is the cut points of the graph with the x axis.
We then have the following computer pairs:
(-6, 0)
(2, 0)
Answer:
The solution for f (x) = 0 is:
(-6, 0)
(2, 0)

Read the complete problem before answering. Teresa bought 2 1/2 gallons of chocolate milk at the dairy farm. Chocolate milk cost $4.50 a gallon. How much did Teresa spend on the milk? A student solved the problem this way. gallons 2 1/2 = 2.5 gallons Let n represent the amount Teresa spent on the milk. n = 2.5 × $4.50 n = $11.25 Teresa spent $11.25. Use a similar strategy to solve this problem. Pedro bought 1 1/4 lb of red sand and 5 1/2 lb of brown sand to refill his sand box. Both types of sand cost $4.60 a pound. How much did Pedro spend on the sand?

Answers

he spent $5.75 on the red sand and $25.30 on the brown sand he spent a total of $31.05 on sand to fill his sand box! Hope this helps you :)

A boat traveling upstream goes 84 kilometers in 7 hours. If the return trip takes only 3 hours, what is the speed (in kilometers per hour) of the boat still in water?

Answers

Speed = Distance ÷ time

Speed upstream = 84 ÷ 7 = 12 km/h

Speed downstream = 84 ÷ 3 = 28 km/h

Speed in still water = 1/2(28 + 12) = 20 km/h

Answer: 20 km/h

PLEASE HELP???!!!!!

A diagonal shortcut across a rectangular lot is 130 feet long. The lot is 50 feet long. What is the other dimension of the lot

Answers

We'll use the Pythagorean Theorem
130^2 = side^2 +50^2
side ^ 2 = 16,900 -2,500
side ^ 2 = 14,400
side = square root (14,400)
side = 120 feet

the width should be 120 ft. your welcome :)

I dont know how to set it up. #20 solving equations with variables on both sides.

Answers

First lets create an equation for each:

1) Cost = 5x + 60
2) Cost = 11x

Where x is the number of lessons.

Since we want to find the value of x (the number of lessons), we can set both equations equal to each other:

5x + 60 = 11x

Subtract 5x from both sides:

60 = 6x

Divide by 6:

x = 10
So it will take 10 lessons till a member and a nonmember pay the same amount.

turn 0.43,0.50 into a median
20 points

Answers

0.47 is the answer. Because it's in the middle of 0.43 and 0.50. I answered this on your last question =p

THE ANSWER IS 0.47

HOPE THIS HELPS

Help please........................

Answers

Remark
(0,0) does not change with the rotation, nor does it change with the dilation.
(2,0) will become (-2,0) with the rotation and (-6,0) with the dilation.
(0,4) goes right around to the - y axis. It become (0,-4) with the rotation. and (0,3*-4) = (0,-12) with the dilation.

There is no way that these triangles are congruent. I could have said that right at the very beginning. But there is a way that they are similar. The angles between them remain unaltered. You can test that out with (0,4) to (0,0) to (2,0) which is a right angle (labeled CAB). No matter what you have done in these two steps, that right angle remains. Dilation other than a dilation of 1 will not produce congruence.

B . <<<< Answer.

For questions 1 and two find the volume of the given prism. Round to the nearest tenth if necessary.

Answers

1)D 2)B 3)A 4)B 5)B 6)D 7)C 8)A 9)A 10)B 11)B 12)B

The volume of the rectangular and triangular prisms are 269.3 cubic centimeters and 1756.3 cubic yards respectively

How to calculate the volume of the prism?

The formula for calculating the volume of a prism is given as;

V = lwh

l is the length

w is the width

h is the height

1) The volume of the prism is expressed as;

V = 12.1 * 5.3 * 4.2
V = 269.3 cubic centimeters

2) Volume of the triangular based prism = BH

Base area = 1/2(13)(13)sin60
Base area = 84.5(0.8660)
Base area = 73.177 square yard

Height H = 24 yards

Volume of the prism = 24 * 73.177

Volume of the prism = 1756.3 cubic yards

Hence the volume of the rectangular and triangular prisms are 269.3 cubic centimeters and 1756.3 cubic yards respectively

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Can someone help me find the volume

Answers

the correct volume is 56 in^3

the answer is 56 in squared.

PLEASE HURRY, I NEED THE ANSWERS!!
1. The surface area of a box is 627in, what is the surface area if it is scaled by a factor of ten? (Show work)
2. The volume of the box is 720in, what is the volume of the box if it is scaled by 1/10? (Show work)

Answers

Can i have a picture?

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