Find the area of the right triangle. If necessary, round to the nearest tenth.
A right triangle with side 9 meters and hypotenuse of 18 meters.
a.
15.6 m
b.
70.2 m
c.
42.6 m
d.
243 m

Answer:

Thus, area of triangle is [tex]225/\sqrt{3}[/tex]

Step-by-step explanation:

Area if triangle is given by 1/2( base*height)

Given

Height = 15 units

also one angle is given as 30 degrees

we know Tan of any angle is  ratio of perpendicular and base

[tex]tan\alpha = perpendicular /base[/tex]

lets calculate tan 30 in the given triangle

we will take the smaller triangle containing angle 30 degrees and right angle

perpendicular will be half of base of triangle

base will be side with length 15 units

tan30 = perpendicular/15

[tex]1/\sqrt{3} = perpendicular/15\\=> perpendicular = 15/\sqrt{3}[/tex]

Thus, half of base of full triangle is [tex]15/\sqrt{3}[/tex]

so full base will be [tex]15*2/\sqrt{3} = 30/\sqrt{3}[/tex]

Full full triangle

height = 15 units

base =  [tex]15*2/\sqrt{3} = 30/\sqrt{3}[/tex]

Thus, area of triangle is [tex]1/2* 30/\sqrt{3}*15= 225/\sqrt{3}[/tex]

Answer:

The answer is 3968

63 squared= 3969

3969-1 = 3968

Answer:

A.

Step-by-step explanation:

The interquartile range for republicans is 185.5. The interquartile range for democrats is 186.5.

367.5 - 181 = 186.5

356 - 170.5 = 185.5

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

Area 1 = the rectangle

8×3=24cm²

Area 2= semi circle

3.14r² 314/100×4×4 = 50.24cm²

add. 24+50.24 = 74.24cm² ( 10th)

ffefefertjuylijhq DS3NUFHUFH4UFUFHUFUEFNUEFNUEFN

Answer:

≈ 5.8

Step-by-step explanation:

Step 1: Round the fractions

29 1/5 = 146/5 = 29.2 ≈ 29

4 6/7 = 34/7 = 4.85714 ≈ 5

Step 2: Divide

29/5 = 5.8

The answer is under

Answer:

Well, 80 x 62.5% is 50.

So, 65 + 50 is 115.

I think there is a mistake in the question

Well, It could not, but please check again TT

Step-by-step explanation:

Answer:

Look below

Step-by-step explanation:

8 boxes of toothpicks were given to at LEAST 25 students but 15 threw them out

8x= 8 boxes

At least 25= no less than 25 students

-15= the 15 that threw them out

x=boxes

the people= All real numbers

HOPE THIS HELPS!!!

Answer:

1 2 3 4

Step-by-step explanation:

Answer:

The coordinates of C are (2,2)

Answer:

You can verify if lines are parallel if they have the same slope and different y-intercepts and if they don't intersect each other. You can also graph the 2 equations to see if they ever intersect.

Step-by-step explanation:

Answer:

C. Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. Took the test just now and got it right

Step-by-step explanation:

Answer:

361.25

Step-by-step explanation:

first subtract her sales

900 - 500 equals 400

next subtract her earnings

489-405= 85

next divide the remainder of her earnings by the remainder of her sales

85/400=.2125

finally multiply this by 1700

0.21 to 5 * 1700 equals 361.25

Answer:

The third answer- a reflection over the x axis then a reflection over the y axis

Answer:the answer is C

Step-by-step explanation:I took the test

Answer:

C. [tex]9^{-2} = \frac{1}{81}[/tex]

Step-by-step explanation:

Given

[tex]9^{x}[/tex]

Required

Find the expression where x - 2

[tex]9^{x}[/tex]

Substitute 2 for x

[tex]9^{-2}[/tex]

From law of indices which states

[tex]a^{-b} = \frac{1}{a^b}[/tex]

So, the expression becomes

[tex]9^{-2} = \frac{1}{9^2}[/tex]

Expand the denominator

[tex]9^{-2} = \frac{1}{9 * 9}[/tex]

[tex]9^{-2} = \frac{1}{81}[/tex]

Hence, [tex]9^{x}[/tex] is [tex]\frac{1}{81}[/tex] when x = 2

Answer:27.5

Step-by-step explanation:

Answer:

B. 27.5

Step-by-step explanation:

37 is the Q2, which is the median,

Q1 is 27 + 28 / 2 = 27.5

Answer:

Vertex: (0, 12)

Direction: Upwards

Step-by-step explanation:

Easiest way to do this is to graph it. When you do so you should be able to see that your vertex is at (0, 12) and that the graph opens upwards (a is not negative, so no reflection over the x-axis).

Answer:

125

Step-by-step explanation:

Surface area is the total area of all the surfaces of a shape. In order to calculate the surface area we need to consider each unique face individually.

The base of the pyramid is a square of side-length 5, and its area is 5×5=25

The side faces form an iscosoles triangle of height 10 and base length 5, its area is 10×5×[tex]\frac{1}{2}[/tex]=25.

The total surface area = Triangle +Triangle +Triangle +Triangle +Square = 25+25+25+25+25 = 125

Answer:

[tex]mGH=80^\circ[/tex]

Step-by-step explanation:

Circle F and J are congruent.

[tex]\angle DFE \cong \angle GJH[/tex]

Given that: m∠DFE = 80°

DFE is the central angle of the circle F.

The measure of arc GH is equal to the central angle of Circle J.

Since both circles are congruent

[tex]mGH=\angle DFE = 80^\circ[/tex]

The measure of arc GH is 80 degrees.

Answer:

Arc GH=80°

Step-by-step explanation:

Edge 2020

Answer:

Triangle 1: 90°, 20°

Triangle 2: 20°, 90°

Step-by-step explanation:

According to AA or Angle-Angle Similarity, any two triangles with two of the same angle measurements are similar. Only Triangle 1: 90°, 20° and Triangle 2: 20°, 90° have the same two angle measurements.

Answer:

Please see attached

Step-by-step explanation:

[tex]

9y+18-5y+30=-4y-9 \\

8y+57=0 \\

y=-\frac{57}{8}=-7.125 \\

[/tex]

Hope this helps.

Answer:

[tex]y = -7 \frac{1}{8}[/tex]

Step-by-step explanation:

First off, Let's Simplify!

[tex]9y + 18 - 5y + 30 = -4y - 9[/tex]

Next, Let's Combine Like Terms!

[tex]9y - 5y + 18 + 30 = -4y - 9[/tex]

~~~~~~~~~~~~~~~~~~~~~~~

   [tex]4y + 48 = -4y - 9[/tex]

Now, Let's Isolate the Variable!

[tex]8y + 48 = -9[/tex]

[tex]8y = -57[/tex]

Final Answer:

[tex]y = -7 \frac{1}{8}[/tex]

Hope that helps and maybe earns a brainliest!

Answer:

B

Step-by-step explanation:

2x+2>10

2x>10-2

x>8/2

x>4

270 degree counterclockwise rotation around the origin

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

Check out the diagram below. In the diagram, I only focus on points A and A'.

We have A = (-3,4) move to A ' = (4, 3). We see the x and y coordinates swap places. Then the new second coordinate -3 becomes positive, or it has flipped sign. So the rule applied here is [tex](x,y) \to (y,-x)[/tex] which describes a 90 degree clockwise rotation; which is equivalent to a 270 degree counterclockwise rotation

The other points follow the same idea.

Answer:

c

Step-by-step explanation:

Hey there!

Answer:

2nd choice, The graph of g(x) is the graph of f(x) reflected in the x-axis, expanded vertically by a factor of 5, and translated 8 unit(s) down.

Step-by-step explanation:

Recall that the transformation form of a logarithmic function is:

y = ±alog(b(x-h))+k

Given g(x) = -5logx-8:

Negative in front of equation: reflection over the x-axis

'a' value of 5: expanded vertically by a factor of 5

'k' value of -8: translated 8 unit(s) down.

Answer:

MARK me brainliest please

Step-by-step explanation:

yes

yes

no

no

yes

Answer: D

Step-by-step explanation:

All would add up to 241 instead of 2.41 because you are not using decimals for the constants (Example: 25q not .25q)

Answer: KINDLY CHECK EXPLANATION

Step-by-step explanation:

Given the data:

1) dataset:

My data(x) : 2, 4, 6, 8, 10

2) to calculate the mean absolute deviation of the data above :

Step 1: Find the mean (m) of the dataset (my data)

Mean(m) = sum of values in my data / number of observations in my data (n)

m = (2+4+6+8+10) / 5

m = 30 / 5 = 6

The mean absolute deviation(MAD) :

Sum of The absolute value of the difference between values in my data and the mean value (m) Divided by the number of observations.

MAD = (Sum of |x - m|) / n

MAD = (|2-6| + |4-6| + |6-6| + |8-6| + |10-6|) / 5

MAD = (4 + 2 + 0 + 2 + 4) / 5

MAD = 12 / 5

MAD = 2.4

Answer:

[tex]\frac{2x - 2}{x^2+3x-4}[/tex]

Step-by-step explanation:

In the figure attached, the question is shown. The function:

[tex]\frac{2x - 2}{x^2+3x-4}[/tex]

has a horizontal asymptote at y = 0 because the degree of the nominator polynomial is less than the degree of the denominator polynomial.

The roots of x² + 3x - 4 are -4 and 1

Then, x² + 3x - 4 = (x + 4)(x - 1)

The function has a vertical asymptote at x = -4 because it is a root of the denominator polynomial.

The function can be simplified as follows:

[tex]\frac{2(x - 1)}{(x+4)(x-1)}[/tex]

[tex]\frac{2}{x+4}[/tex]

Then, it has a removable discontinuity at x = 1

Answer:

D

Step-by-step explanation:

Answer:

The total weight is 80g, this is equal to the weight of the salt in the mixture plus the weight of the water in the mixture.

Ws = Weight of the salt

Ww = Weight of the water.

Then:

Ww + Ws = 80g

and the solution is 35% salt, so we have:

Ws/80g = 0.35

We must solve the system of equations, we can write the second equation as:

Ws = 80g*0.35 = 28g

Then we have 28 grams of salt, and the other 62g must be of water.

Step-by-step explanation:

Let x represent the weight of the salt

Let y represent the weight of the water

We know x + y = 80g total

If the salt solution is 35%, we can write the following equation:

x/80g = 0.35

x = 80g x 0.35 = 28

28 grams

Answer:

price paid of speakers= £40.5

price paid of headphones=£ 5.6

price paid of book=£6.65

price paid of mobile phone=£42

price paid of mouse=£ 15.75

price paid of DVD=£11.05

solution,

1. Cost of speakers:

Discount percent=10 %

Marked price=£45

discount amount= discount % of MP

=10% of 45

=£4.5

Selling price= MP - discount amount

=£45-£4.5

=£ 40.5

2. cost of headphones:

discount amount= discount% of MP

=20% of 7

=£1.4

Selling price= MP- Discount amount

=£7-£1.4

=£ 5.6

3. cost of books:

discount amount= discount percent of MP

= 30% Of 9.50

=£ 2.85

selling price= MP- Discount amount

= £ 9.50-£2.85

=£ 6.65

4. cost of mobile phone:

discount amount= discount% of MP

=40% of 70

=£ 28

selling price= MP- Discount amount

=£70-£28

=£ 42

5. cost of mouse:

discount amount= discount% of MP

= 25% of 21

=£ 5.25

selling price= MP- Discount amount

=£21-£5.25

=£ 15.75

6. cost of DVD:

discount amount= discount % of MP

= 15% of 13

= £ 1.95

selling price= MP- discount amount

=£ 13 -£ 1.95

=£ 11.05

Hope this helps...

Good luck on your assignment..

Answer:

1402.5 Cubic Units

Step-by-step explanation:

Volume of a Triangular Prism: V = [tex]\frac{1}{2}bhl[/tex]

b - base

h - height

l - length  

15 is the height, 17 is the length, and 11 is the width  (assuming which is the base).

[tex]V=0.5 * (11 * 15 * 17) \\V=0.5*2085\\V=1402.5[/tex]

The volume of the prism should be 1402.5 cubic units.