In ΔQRS, r = 1.5 inches, ∠S=23° and ∠Q=22°. Find the length of s, to the nearest 10th of an inch.

Answer:

okie we will try our best

Answer:

5x4x2

Step-by-step explanation:

The total area of the figure id 35 square cm.

The amount of space taken up by a two dimensional space is called area.

The formula for the area of a triangle is

[tex]A = \frac{1}{2} (b)(h)[/tex]

Where,

A is the area of triangle.

b is the base of a triangle.

h is the height of the triangle.

The formula for the area of square is

[tex]Area = a^{2}[/tex]

Where,

a is the side length of square.

According to the given question.

A triangle is resting on a square.

Side length of square, a = 5cm

So, the area of square = [tex]5^{2} = 25 square cm[/tex]

Also, a triangle with height 4cm.

Since, the triangle is resting on a square.

⇒ Base length of the triangle = 5cm

So, the area of triangle = [tex]\frac{1}{2} (5)(4)= 10 square cm[/tex]

Therefore,

The total area of the given figure  = Area of square + Area of triangle

⇒ Total area of figure = (25 + 10) square cm

⇒ Total area of figure = 35 square cm

Hence, the total area of the figure id 35 square cm.

Find out more information about area of triangle and square here:

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Answer:

Hello! answer: x = 20

Step-by-step explanation:

Because 3 multiplied by x which equals 20 gets us 60 then we just add the 2 and get 62 these are vertical angles so they will have the same measure hope that helps!

Answer:

area of a trapezoidal base  of each prism with heights  6 and 8 units are 4 square units and 3 square units respectively

Step-by-step explanation:

Let us first be aware of formula of volume for any regular geometrical figure.

Fundamental formula for  volume for any regular geometrical figure is.

volume = area of cross section of object*  height of object (A)

In the problem stated area of cross section of object will be  area of a trapezoidal base.

Given in the question is

Volume of both the trapezoidal prisms = 24 cubic units

*************************************************************************************

For prism with height 6 unit

Substituting the value of height and volume in formula for trapezoidal prisms

24 = 6 * area of a trapezoidal base

=> area of a trapezoidal base = 24/6 = 4 square units

*************************************************************************************

For prism with height 8 unit

Substituting the value of height and volume in formula for trapezoidal prisms

24 = 8 * area of a trapezoidal base

=> area of a trapezoidal base = 24/8 = 3 square units

*************************************************************************************

Therefore area of a trapezoidal base  of each prism with heights  6 and 8 units are 4 square units and 3 square units respectively.

Answer:

b 112.80

Step-by-step explanation:

took test on edge

The interest that accrues on the initial down payment at 30% interest rate is  $408 .

The term interest refers to money that accrues on a principal sum. It is commonly employed in the parlance of borrowing money.

Since it is a compound interest;

A = P(1 + r/n)^nt

Where;

A = amount

P = principal

r = rate

n = number of times compounded per year

t = total time taken

A = 120(1 + 0.025)^12 × 5

A = $528

A = P + I

I = A - P

I = $528  - $120

I = $408

Learn more about compound interest: https://brainly.com/question/25857212

Find the actual Dimensions of the triangle.

Multiply the size of the triangle on paper by 1.5 feet per inch:

Width = 5 x 1.5 = 7.5 feet.

Height= 7 x 1.5 =10.5 feet

Area of a triangle is 1/2 x base x height:

Area = 1/2 x 7.5 x 10.5 = 39.375 square feet.

Answer: 39.375 square feet.

The area of the actual banner is 39.375 feet²

Scaling is used to increase or decrease the size of a figure so as to create an image.

Given that 1 inch on the drawing Is equivalent to 1.5 feet on the actual banner, hence:

Base = 5 in * 1.5 feet per in = 7.5 feet

Height = 7 in * 1.5 feet per in = 10.5 feet

Area of the actual banner = (1/2) * 7.5 * 10.5 = 39.375 feet²

The area of the actual banner is 39.375 feet²

Find out more on scaling at: https://brainly.com/question/25324744

Answer:

A. She will have $2 left over

Step-by-step explanation:

I know this because 3 yards of fabric cost $18 dollars so there would be $2 left

Answer:

Is there an image to visualize the field?

Step-by-step explanation:

I would love to help.

Answer:

Actually, all of them!

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Answer:

3603600

Step-by-step explanation:

I used my calculator

Answer: i think true

Step-by-step explanation:

Answer:

False because 1/2 would be half the number 2/2 or 1 would be the whole number so 3/2 would be a whole and half or 1 1/2

Answer:

false

if the number is X

3/2 of X= X 1/2

[tex]x \frac{1}{2} > x[/tex]

Answer:

(-4, 16)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

right on plato

Answer:

Gretchen charges $12 dollars per hour

Step-by-step explanation:

$18/1.5=$12

Answer:

30ft.

your welcome. ...................

Answer:

189 components must be sampled.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

Assume that component lifetimes are normally distributed with population standard deviation of 16 hours.

This means that [tex]\sigma = 16[/tex]

How many components must be sampled so that a 99% confidence interval will have margin of error of 3 hours?

n components must be sampled.

n is found when M = 3. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]3 = 2.575\frac{16}{\sqrt{n}}[/tex]

[tex]3\sqrt{n} = 2.575*16[/tex]

[tex]\sqrt{n} = \frac{2.575*16}{3}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.575*16}{3})^2[/tex]

[tex]n = 188.6[/tex]

Rounding up:

189 components must be sampled.

Answer:

A=38.88 or 38.9

Step-by-step explanation:

If both are similar then the 9 and the 7.2 are the same

9-7.2= 1.8

9x6=54

7.2-1.8=5.4

7.2x5.4=38.88 or 38.9

Answer:

y=3.5x+9

and

y=x

Answer:

≠

Step-by-step explanation:

Sorry I just need 20 Characters

Answer:

≠

Step-by-step explanation:

Because 3/8 is 0.375, 8/15 is 0.53( with the 3 repeated). The decimal values aren't the same so the answer is that these 2 fractions are not equivalent.

9514 1404 393

Answer:

  (a)  6

Step-by-step explanation:

The median is the middle number when they are sorted into order. If one of the numbers is 10, the remaining number must be any number less than 7. Of the offered choices, the only one less than 7 is 6.

__

The three numbers are 6, 7, 10.

Answer:

If a coin is tossed 12 times, the maximum probability of getting heads is 12. But, 12 coin tosses leads to 212 , i.e. 4096 number of possible sequences of heads & tails.

Step-by-step explanation:

Answer:

8/13

Step-by-step explanation:

Pam flips a coin 12 times. The coin lands on heads 8 times. What is the theoretical

probability of landing on heads on the next flip?

well it would be 8 and 13

Answer:

[tex]\frac{5}{36}[/tex]

Step-by-step explanation:

probability of desired outcome:

Number of desired outcomes/number of total outcomes

To find the numerator just count the number of times the condition is satisfied

I get 5

1,5

2,4

3,3

4,2

5,1

The number of total outcomes is just 6² or 36

So the final answer is just 5/36

Answer:

I think it would be B.

Step-by-step explanation:

Since you aready have a 50% chance of landing on both heads or tails once. To land it on heads twice you would have a twenty five percent chance if you look at logic.  in which my dad would often say. Please mark the brainliest

Trapezoid Area =

[ ( Sum of the rules ) × ( height ) ] ÷ 2

_________________________________

Area = [ ( 2 + 3 ) × 3 ] ÷ 2

Area = [ 5 × 3 ] ÷ 2

Area = 15 ÷ 2

Area = 7.5 m^2

Answer:

[tex]f + e + d = 360^o[/tex]

Step-by-step explanation:

The question is incomplete, as what is required is not stated and the triangle is not given.

So, I will solve generally.

The proof is as follows (see attachment for triangle)

From the attachment, we have:

[tex]a + f = 180[/tex]

[tex]b + e = 180[/tex]

[tex]c + d = 180[/tex]

Make f, e and d the subject

[tex]f = 180 - a[/tex]

[tex]e = 180 - b[/tex]

[tex]d = 180 - c[/tex]

Add up the equations

[tex]f + e + d = 180 -a + 180 - b + 180- c[/tex]

Collect like terms

[tex]f + e + d = 180 + 180+ 180-a- b - c[/tex]

[tex]f + e + d = 540-a- b - c[/tex]

We have:

[tex]f + e + d = 540-(a+ b + c)[/tex]

[tex]a + b + c \to 180[/tex] --- angles in a triangle

So, we have:

[tex]f + e + d = 540-180[/tex]

[tex]f + e + d = 360^o[/tex] --- proved