A tower is 543m from your house. The angle of elevation to the top of the tower is 33.4°. How high is the tower?

Answer:

Option A: x = -10 is a solution.

Step-by-step explanation:

Here we have the inequality:

3*(x - 4) ≥ 5*x + 2

We can solve this for x as follows:

first, expand the left side:

3x - 12 ≥ 5x + 2

now, move all the terms with x to one side, and the other terms to the other side:

-12 - 2 ≥ 5x - 3x

-14 ≥ 2x

now let's divide both sides by 2

-14/2 ≥ 2x/2

-7 ≥ x

So the solutions are values smaller than -7

In the options, the only value smaller than -7 is the first one:

A: -10

Then the correct option is A.

Answer:

Step-by-step explanation:

[tex]Mean = \frac{Sum \ of \ all \ the \ data}{number \ of \ data}\\\\= \frac{3.8+5.1+4.1+3.8+3.3+3.6}{6}\\\\=\frac{23.7}{6}\\\\= 3.95[/tex]

Mean = 3.95

B) To find the median, arrange the data in ascending order

3.3 ;  3.6 , 3.8  ; 3.8  ; 4.1  ; 5.1

As number of data is even, median = Average of (n/2)th term and (n/2)th term +1

= Average of 3 and 4th term

[tex]= \frac{3.8+3.8}{2}\\\\= 3.8\\[/tex]

Median  = 3.8

C) 3.8 occurs two times.

So, Mode = 3.8

d) 14.6 is above the mean. So, if we add a data above the mean, then the mean will increase

e) If April (3.8)  is deleted from chart, Mean will increase. If we remove a data below the mean, then mean will increase

If April is deleted from chart,  there will be no change in median.

Still median will be 3.8 only

Answer:

Segment XY congruent to Segment IJ is required.

Step-by-step explanation:

It's asking for Side-Angle-Side postulate and you already have a side and an angle. WX=HI and <x=<I. Order matters, so the angle should be directly between the first set of segments and the second.

Answer:

the probability is [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

there are 4 numbers on a 12 sided die that can be divided by 3: 3, 6, 9, and 12.

so the probability would be [tex]\frac{4}{12}[/tex], or [tex]\frac{1}{3}[/tex]

Using the concept of probability. The chances of having a value which is divisible by 3 is 1/3

Recall :

Total possible outcomes = Sample space = 12

Required outcome = numbers divisible by 3 :

P(number divisible by 3) = 4 / 12 = 1/3

Therefore, the probability of having a number which is divisible by 3 is 1/3

Learn more : https://brainly.com/question/18405415

Answer:

[tex]given\Longrightarrow AB=AC[/tex]

[tex]\angle \;C=\angle \:B=60\ [isosceles ~triangle][/tex]

[tex]\angle~A+\angle~B+\angle~C=180[/tex]

[tex]x+60+60=180[/tex]

[tex]x+120=180[/tex]

[tex]x=180-120[/tex]

[tex]x=60[/tex]

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HOPE IT HELPS

HAVE A GREAT DAY!!

Answer:

I can't understand your question friend.

Answer:

There will be 97 trees in each orchard.

Step-by-step explanation:

Given that,

Nissa is going to plant 485 trees this year.

Nissa plants 5 orchards of trees.

We need to find the number of trees in each orchard. Let it is n. So, we can find it as follows :

[tex]n=\dfrac{485}{5}\\\\n=97[/tex]

So, there will be 97 trees in each orchard.

Answer:

Sin (67°)

Step-by-step explanation:

Cos (23°) = sin(90-23) = sin (67°)

Answered by GAUTHMATH

Answer:

[tex] \frac{3 {x}^{2} }{ {y}^{2} {z}^{6} } [/tex]

Step-by-step explanation:

I have attached the explanation above. hopefully this will help

Answer:

W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2)

Step-by-step explanation:

The vertices of the trapezoid WXYZ are, W(-4, 2), X(-3, 4), Y(-1, 4), and Z(0, 2)

The coordinates of the image following the rotation transformation of the preimage (x, y) 180° about the origin is (-x, -y)

Therefore, following the rotation transformation of trapezoid WXYZ, the coordinates of the image W'X'Y'Z' are given as follows;

W(-4, 2) rotated 180° about the origin gives W'(4, -2)

X(-3, 4) rotated 180° about the origin gives X'(3, -4)

Y(-1, 4) rotated 180° about the origin gives Y'(1, -4)

Z(0, 2) rotated 180° about the origin gives Z'(0, -2)

Therefore, we get;

W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2).

Answer:

Its A

Step-by-step explanation:

i just took the test.

Answer:

3x + (x/2) *2

Step-by-step explanation:

The distance for the first 3 hours is rate times time

x *3

The distance for the next 2 hours is rate times time

x/2 *2

Add them together to get the total distance

3x + (x/2) *2

Given:

2.2 pounds = 1 kilogram

Weight of Mary = 120 pounds.

To find:

The weight of Marry in kilograms.

Solution:

We have,

2.2 pounds = 1 kilogram

Using this conversion, we get

1 pound = [tex]\dfrac{1}{2.2}[/tex] kilogram

120 pound = [tex]\dfrac{1}{2.2}\times 120[/tex] kilogram

                  = [tex]\dfrac{120}{2.2}[/tex] kilogram

                  [tex]\approx 54.54[/tex] kilogram

Therefore, the weight of Mary is about 54.54 kilograms.

Answer:

The first option

Step-by-step explanation:

[tex]4x + 5y - 34 = 0[/tex]

Answer:

validation

Step-by-step explanation:

A quantitative research can be defined as any research that is typically based on numerical values such as mathematical or statistical analysis of data gathered or collected from various sources e.g questionnaires, polls, surveys etc.

This ultimately implies that, a quantitative research uses closed-ended questions such as how many, how much, and the answers to these questions are mainly numerical in nature.

A questionnaire can be defined as a form that comprises of series of questions used as a means of gathering or obtaining data for a research or study.

Generally, if an interviewer fail to properly follow skip patterns specified in a questionnaire, the validation step in data analysis would reveal the problem.

During the validation stage, the data obtained are accessed to confirm whether or not they're authentic.

Answer:

2/6 chance the dice be rolled to the total of 12

Answer:

126720x⁸

Step-by-step explanation:

explanations are in the images above .. you can reach me personally for expanded help

Hello,

[tex]\displaystyle \int {-\dfrac{2}{3} \sqrt{(2-5x)^3}} \, dx \\\\\displaystyle=-\dfrac{2}{3}*\dfrac{-1}{5} \int {-5*(2-5x)^{\frac{3}{2} }} \, dx \\\\\displaystyle=\dfrac{4}{3}*(2-5x)^{\frac{5}{2} }+C[/tex]

Answer:

8 and 1

Step-by-step explanation:

The sum means that the two numbers added together make up what they're asking. Difference means you're subtracting between the two. For our purposes, we can just look at each answer option and firstly see which one has a difference of 7.

8-1=7

4-5=-1

6-3=3

9-0=0

And just to double check, we try adding 8 and 1, which is 9! Yay! :P

What is mean: A mean is the simple mathematical average of a set of two or more numbers. To solve for it add all numbers together then divide by how many numbers are there. (Its best to put them in order)

$40 + $40 $60 + $80 + $100= $320/5= $64 is the mean

what is median: The median is the value separating the higher half of a data sample

40,40,60,80,100 (i like to cross it out so 40 and 100 cancle each other, another 40 and 80 cancel each other) now that you are left with only 1 number which is 60 that is the median.

What is Mode: the number that repeats the most

Mode is 40 because 40 repeats twice

Answer:

a. 18

Step-by-step explanation:

AB+BC = AC

x + x = 36

2x = 36

x = 36/2

x = 18

Answer:

area of parallelogram=base *height

Answer:

area =36cm²

Step-by-step explanation:

area of parallelogram= b×h

Answer:

z=4x

=14y10

Step-by-step explanation:

this is the answer

Answer:

7900 is the round off to the nearest hundred

Answer:

I need help on this too!

There are many examples, you can write anyone:

Vertical angles

∠2 and ∠3

∠1 and ∠4

∠6 and ∠7

∠5 and ∠8

Linear pair

∠2 and ∠4

∠4 and ∠3

∠3 ans ∠1

∠1 and ∠2

∠6 and ∠8

∠8 and ∠7

∠7 and ∠5

∠5 and ∠6

Congruent angles

∠2 and ∠3

∠1 and ∠4

∠6 and ∠7

∠5 and ∠8

Answer:

for question B

2A 3C = 70

70-15 = 55/5 = 11.

so each child is 11

while adult 11 + 7.50 = 18.50

Answer:

9<x<23

Step-by-step explanation:

I'm not sure if this is what it wants, but theres this theorem that says a side needs to be less than the other two combined.

x+7>16

x+16>7

16+7>x

=>

x>9

x>-9

x<23

=>

9<x<23

Answer:

0.15

Step-by-step explanation:

first get three percent:

3/100 = 3%

then use of operation:

3% of 5;

= (3/100) * 5

Answer:

60%

Step-by-step explanation:

To change a fraction to a percentage, multiply the fraction by 100% , then

[tex]\frac{3}{5}[/tex] × 100% = [tex]\frac{3(100)}{5}[/tex] = [tex]\frac{300}{5}[/tex] = 60%

Answer:

find the positive square root of 7.3441 Which of the following equations is equivalent to 6(3p – 2) = 20? 18p – 2 = 20 18p – 12 = 20 9p – 8 = 20 9p – 4 = 20 Three less than 3 times a number, n, is 19 more than twice the number.

Step-by-step explanation:

10⁹ + 10⁸ + 10⁷ = 10⁷ (10² + 10¹ + 10⁰)

… = 10⁷ (100 + 10 + 1)

… = 10⁷ × 111

… = (2 × 5)⁷ × 111

… = 2⁷ × 5⁷ × 111

… = 2⁷ × 5⁶ × 555

Answer: The answer is D. 240 grams

Step-by-step explanation:

1. Find the volume.

2cm×3cm×5cm=30 cubic centimeters

2.  Find the volume of the other box.

4cm×9cm×5cm=180 cubic centimeters.

3. Divide. 180÷30=6

4.  6 times the amount it can hold, 40=240 grams of clay.

Hope that helped!

Answer:

Step-by-step explanation:

we are told that the box is  2 cm high, 3 cm wide 5 cm long  and holds 40 grams of clay

so 2*3*5 = 30 [tex]cm^{3}[/tex]

so the 30 cubic centimeter volume holds 40 grams  ( it would have been nice if they had let the box hold 30 grams but,  no  :(

40/30 = 1.333333  or 1 and [tex]\frac{1}{3}[/tex]   of a gram  okay, sooooo now we know each cubic centimeter holds that much clay,  now let's solve for how many cubic centimeters are in the bigger box, you can try to solve it 1st if you'd like to practice,  below I solve it

twice the height  so  2(2)=4 high

3 times the width , so 3(3) = 9 wide

same length,  so  5 long

4*9*5 = 180

180*1.33333333333 = 240 grams of clay in 2nd bigger box  :)

I'm sure there is a funny box joke in there some where :DDDD

do you get the math?  :)