Answer:
Step-by-step explanation:
top = 120sq m
middle = 17sq cm
bottom = 102 sq feet
Find the missing vertical angles.
Answer:
L1 = 113°
L4 = 67°
Step-by-step explanation:
L1 + L2 = 180°
L1 = 180° - L2
L1 = 180° - 67°
L1 = 113°
L3 + L4 = 180°
L4 = 180° - L3
L4 = 180° - 113°
L4 = 67°
Proof-
Combination of L1,L2,L3 and L4 should be 360°
113°+67°+113°+67° = 360°
A rectangle has a length of √ 72 meters and a width of √ 18 meters. Find its perimeter in exact and approximate forms, and then find its area.
The exact perimeter is _________ meters.
This is approximately ___________ meters. (Round your answer to the nearest tenth)
The area of the rectangle is ____________ square meters.
Answer:
The exact perimeter is [tex]18\sqrt{2}[/tex] meters.
This is approximately 25.5 meters (nearest tenth).
The area of the rectangle is 36 square meters.
Step-by-step explanation:
Area of a rectangle = width × length
Perimeter of a rectangle = (2 × width) + (2 × length)
Given:
length = [tex]\sqrt{72}[/tex] mwidth = [tex]\sqrt{18}[/tex] mPerimeter
[tex]\textsf{Perimeter}=2 \sqrt{18} +2\sqrt{72}[/tex]
[tex]=2 \sqrt{9 \cdot 2} +2\sqrt{36 \cdot 2}[/tex]
[tex]=2 \sqrt{9} \sqrt{2}+2\sqrt{36}\sqrt{2}[/tex]
[tex]=2 \cdot 3 \sqrt{2}+2\cdot 6\sqrt{2}[/tex]
[tex]=6 \sqrt{2}+12\sqrt{2}[/tex]
[tex]=18\sqrt{2} \textsf{ m}[/tex]
The exact perimeter is [tex]18\sqrt{2}[/tex] meters.
This is approximately 25.5 meters (nearest tenth).
Area
[tex]\textsf{Area}=\sqrt{18} \times \sqrt{72}[/tex]
[tex]=\sqrt{9 \cdot 2} \times \sqrt{36 \cdot 2}[/tex]
[tex]=3\sqrt{2} \times 6\sqrt{ 2}[/tex]
[tex]=18\sqrt{2}\sqrt{ 2}[/tex]
[tex]=18 \cdot 2[/tex]
[tex]=36 \textsf{ m}^2[/tex]
The area of the rectangle is 36 square meters.
Which ordered pair is a solution to the following system of inequalities
Sanjay is standing on level ground 70 meters away from a flag pole. The angle of elevation to the flagpole is 38 degrees. The height of Sanjay's eyes are 167cm from the ground. How tall is the flag pole in meters?
The height of the pole is 53 m
What is the height of the pole?The angle of elevation is the angle formed between a horizontal line and a line of sight or an upwardly inclined line from an observer to an object or point. It is used to describe the angle at which an object is viewed from a particular position
Let the height of the pole be x
We know that;
Tan 38 = 1.67 + x/70
Tan 38 * 70 = 1.67 + x
x = (Tan 38 * 70 ) - 1.67
x = 53 m
Thus we can see that the height of the pole is about 53 m
Learn more about angle of elevation:https://brainly.com/question/21137209
#SPJ1
Select the correct answer
What is the range of this function?
Please help it’s multiple choice wil choose brain list an 100 points!!!!!
LETTER B IS THE CORRECT ANSWER
The total weight of a delivery truck is equal to the weight of the empty truck plus
the weight of the packages. The truck weighs 8,200 lb when empty.
Write an equation that shows how to use the total weight of the truck to
find the weight of the packages. Show your work.
The weight of the package is an illustration of a linear function
The total weight of the package is p = 8200 - T
How to determine the total weight of the package?The given parameter is:
Weight of empty truck = 8200 lb
Represent the total weight of the truck with T, and the weight of the package with p.
So, we have:
T = 8200 + p
Make p the subject
p = 8200 - T
Hence, the total weight of the package is p = 8200 - T
Read more about linear equations at:
https://brainly.com/question/4074386
hi i need help thank u so much
WORTH 5o points
Answer:
it will be 8 answer letter A
Answer:
A. 8
Step-by-step explanation:
From pythagoras theorem
10^2=6^2+x^2
100-36=x^2
sqrt 64=x
x=8
What is the vertex of the graph of the function f(x) = x2 + 8x − 2 ? (−4, 18) (0, -2) (-8, -2) (−4, −18)
Answer:
(−4, −18)
Step-by-step explanation:
f(x) = x^2 + 8x - 2
⇒ CONVERT TO VERTEX FORM
≥ f(x) = (x + 4)^2 - 16 - 2
≥ f(x) = (x + 4)^2 - 18
⇒ VERTEX IS AT:
≅ ((−4, −18))
Answer:
The answer is D......
Step-by-step explanation:
Triangle ABC was dilated using the rule DO,4. Triangle A'B'C' is the result of the dilation.
Point O is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O B is three-fourths.
What is OB'?
1.5 units
3 units
4.5 units
6 units
Dilation is the change in size of of object. The length of the side OB' will be 3 units
Dilation of coordinateFrom the given diagram, we can see that there is a change in the side of the triangle OAB to OA'B'
Given the following parameters
OB = 3/4 units
Scale factor = 4 units
The measure of OB' = 4 * 3/4 = 3 units
Hence the length of the side OB' will be 3 units
Learn more on dilation here: https://brainly.com/question/10253650
Answer:
3
Step-by-step explanation:
edg 2022
the area of a rectangle is 78 square meters. The length of the rectangle is one more than twice the width. What are the dimensions of the rectangle?
NO FILES PLEASE
[tex]area \: = 78[/tex]
[tex]area = length \: \times \: width[/tex]
[tex]78 = (x)(2x + 1)[/tex]
[tex]x = 6[/tex]
Thus the dimensions are 6 & 13
Answer:
6&13.All you need to do is find the factors of 78 and plug the smaller number into the equation provided in the equation. 2x+1 is our equation. so6*13 is 78 and 2x+1=13... 6for x to get 2*6+1=13
Step-by-step explanation:
B. To make salad dressing for the fruit salad, Mrs. Santos uses 2/4 cup oil, 1 cup orange juice, and 3/4 cup honey. How many cups of salad dressing does this make? Explain how you found your answer.
Answer:
[tex]\sf 2 \frac14 \ cups[/tex]
Step-by-step explanation:
Add the amounts together:
[tex]\sf \implies \dfrac24+1+\dfrac34[/tex]
Convert the whole number 1 into a fraction with denominator 4:
[tex]\sf \implies \dfrac24+\dfrac44+\dfrac34[/tex]
As all the denominators are the same, we can simply add the numerators:
[tex]\sf \implies \dfrac{2+4+3}4[/tex]
[tex]\sf \implies \dfrac94[/tex]
Finally, convert the improper fraction into a mixed number:
[tex]\sf \implies 2 \frac14 \ cups[/tex]
Add all
[tex]\\ \rm\rightarrowtail \dfrac{2}{4}+\dfrac{3}{4}+\dfrac{4}{4}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{2+3+4}{4}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{9}{4}[/tex]
[tex]\\ \rm\rightarrowtail 2\dfrac{1}{4}cups[/tex]
Find the domain for each expression. (1/x)+5
1/x
X+5/x+5
X^2/x
7/(x-2)
Using it's concept, it is found that the domain for the expressions is, respectively, given by:
[tex]x \neq 0, x \neq 0, (-\infty, \infty), (-\infty, \infty), x \neq 2[/tex]
What is the domain of a function?It is the set that contains all possible input values.
In a fraction, the denominator cannot be zero, hence:
The domain of the first two expressions is of [tex]x \neq 0[/tex].The domain of the last expression is of [tex]x \neq 2[/tex].The third expression can be simplified, as:
(x + 5)/(x + 5) = 1.
The same is true for the fourth, as:
x²/x = 1.
Neither has any restriction, hence their domain is all real numbers, represented by [tex](-\infty, \infty)[/tex].
More can be learned about the domain of a function at https://brainly.com/question/25897115
Pls help!!!!!!!!!!!!!!!!!!!!
Answer:
step 1,×+8=_2
step2,×=_2_8
step3,×=_10
What the value of q?
Answer:
50°
Step-by-step explanation:
because angles on straight line add up to 180°,
180-130=50 :)
Solve for x in the diagram below?
The value of x in the triangle with angles 80, 40 and (13x - 5) degrees is 5.
Sum of angle in a triangleThe sum of angle in a triangle is equals to 180 degrees. Recall a triangle have three sides. Therefore,
80 + 40 + 13x - 5 = 180
120 - 5 + 13x = 180
115 + 13x = 180
subtract 115 from both sides of the equation
115 - 115 + 13x = 180 - 115
13x = 65
divide both sides by 13
13x / 13 = 65 / 13
x = 5
learn more on triangle here: https://brainly.com/question/15268683
Find the area if the pentagon. I’ll mark the brainiest :)
Answer:
688.19 inches
Step-by-step explanation:
Determine the equation of a Linear Function with a negative slope, goes through the point (0,5), and has a hole at x = -1
Answer:
[tex]y=\frac{-x(x+1)}{x+1} +5[/tex]
Step-by-step explanation:
This function has a slope of -1, a hole at x = -1, and a y-intercept of 5
Sorry forgot to post pictures of the question on last post (here there are)
For question 4 and 5 You have to find what the equation would look like on a graph. brainly wouldn't let me post all the answer options for those questions sorry!
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 1
[tex]x=-3+2cos\theta,\:y=5+2sin\theta\\\\x+3=2cos\theta,\: y-5=2sin\theta\\\\(x+3)^2=4cos^2\theta,\: (y-5)^2=4sin^2\theta\\\\(x+3)^2+(y-5)^2=4cos^2\theta+4sin^2\theta\\\\(x+3)^2+(y-5)^2=4(cos^2\theta+sin^2\theta)\\\\(x+3)^2+(y-5)^2=4(1)\\\\(x+3)^2+(y-5)^2=4[/tex]
Thus, the first option is correct. Trying all the other options will not get you the desired rectangular equation.
Problem 2
[tex]x=3-6cos\theta,\: y=-2+3sin\theta\\\\x-3=-6cos\theta,\: y+2=3sin\theta\\\\\frac{x-3}{-6}=cos\theta,\: \frac{y+2}{3}=sin\theta\\ \\ \frac{(x-3)^2}{36}=cos^2\theta,\: \frac{(y+2)^2}{9}=sin^2\theta\\ \\ \frac{(x-3)^2}{36}+\frac{(y+2)^2}{9}=cos^2\theta+sin^2\theta\\\\ \frac{(x-3)^2}{36}+\frac{(y+2)^2}{9}=1[/tex]
Therefore, the first option is correct. This equation is in the form of an ellipse with a horizontal major axis length of 12 (half is 6) and a vertical minor axis length of 6 (half is 3), with its center at (3,-2).
Problem 3
Not sure which equation needs to be used for this problem
Problem 4
[tex]x=-7cos\theta ,\:y=5sin\theta\\\\-\frac{x}{7}=cos\theta,\: \frac{y}{5}=sin\theta\\ \\ \frac{x^2}{49}=cos^2\theta,\: \frac{y^2}{25}=sin^2\theta\\ \\\frac{x^2}{49}+\frac{y^2}{25}=cos^2\theta+sin^2\theta\\ \\ \frac{x^2}{49}+\frac{y^2}{25}=1[/tex]
This equation is in the form of an ellipse with a horizontal major axis length of 14 (half is 7) and a vertical minor axis length of 10 (half is 5). See attached graph.
Problem 5
Eliminate the parameter:
[tex]x=-t^2-2,\:y=-t^3+4t\\\\x+2=-t^2\\\\-x-2=t^2\\\\\pm\sqrt{-x-2}=t\\\\y=-t^3+4t\\\\y=-(\pm\sqrt{-x-2})^3+4(\pm\sqrt{-x-2})[/tex]
Attached below is the graph of the curve, which corresponds with the first option.
Mrs. Woods wants to give each of her 25 students a pencil on the first day
of school. The pencils come in boxes of 12. How many boxes will she need
to purchase?
Answer
3 boxesStep-by-step explanation:
So she needs to give 25 pencils to each student.
1 box = 12
number of boxes = 25/12
=2.08
round it to 3
Therefore she need 3 boxes
Look at this parallelogram. Find the value of p.
Answer:
15
Step-by-step explanation:
15 is the answer
If you need solution do let me know in the comments
What is the Area of this shape?
14 * 12 = 168
(12*8) / 2 = 48
216 cm ^2
Answer:
1,344 cm counting the side shape or 168 cm counting only the rectangle.
Step-by-step explanation:
14 cm x 12 cm = 168cm
168 x 8 = 1,344 cm
A={2,4,6,…,18,20} then n(A)=
Answer:
n(A) = 10
Step-by-step explanation:
The number of elements in the set of even numbers from 2 to 20 is 10.
n(A) = 10
_____
Additional comment
Dividing the set elements by 2 maps them to the Natural numbers 1 .. 10. This makes them easy to count.
Lori puts up a sign for her business 500 meters from the main entrance. She once read that it takes the average adult 6 minutes to walk 500 meters. She decides to test this by having 200 adults walk the 500 meters from her sign to her store. Which of the following is the sample in Lori's experiment?
Step-by-step explanation:
She decided to test this by 200 adults, so. Divide 6 by 500 = 0.012 (200)=2.4mins.
Answer: The 200 adults
Step-by-step explanation:
Find the volume of the prism.
Answer:
I'm guessing it is 12000
Step-by-step explanation:
let me now if it is wrong
[tex] \Large\tt{ANSWER}[/tex]
[tex]\LARGE \tt{12000 \: cm^3 }[/tex]
[tex]\Large \tt{SOLUTION}[/tex]
Formula of Rectangular PrismVolume = Length × Width × Height
Volume = Length × Width × HeightVolume = 60 cm ×20 cm × 10 cm[tex]\Large \tt{12000 \: cm^3 }[/tex]For More Information, Visit this Link.
→ What is Volume:
brainly.ph/question/62863232. What inference can you make by comparing the measures
of variability?
I need the answer
Answer:
16.02
Step-by-step explanation:
2. What inference can you make by comparing the measures
of variability?
I need the answer
16.02
50 POINTS!
Exploiting for points will be reported.
Sophie deposited money into an account in which interest is compounded semiannually at a rate of 3.7%. She made no other deposits or withdrawals and the total amount in her account after 15 years was $12,158.10. How much did she deposit?
SHOW WORK FOR BRAINLIST
$7,015.11
total money accrued : $12,158.10years : 15 years rate of interest : 3.7%deposited : ADepth meanings:
P is deposited moneysemiannually : 2 times in a yearA is received or acquired moneyt is time in yearsr is rate in percentage[tex]\sf P = \dfrac{A} { (1 + \dfrac{r}{n})^{nt}}[/tex]
[tex]\rightarrow \sf P = \dfrac{12,158.10} { (1 + \dfrac{3.7\%}{2})^{(2)(15)}}[/tex]
[tex]\rightarrow \sf P = \dfrac{12,158.10} { (1 + \dfrac{0.037}{2})^{(2)(15)}}[/tex]
[tex]\rightarrow \sf P = 7015.113646[/tex]
What is the domain and range of the graph below?
Answer:
Domain = [-7,4]
Range = [-4,8]
Step-by-step explanation:
Domain= all values of x
Range= all values of y
becuase there are no values going to infinity and they all end, we can just look at our end points.
Stedents are decorating a banner to hang in the school way. The banner is 9 1/2 feet long and 2 1/2 feet wide . What is the area of the border the students are decorating?
3 4/5square feet
12 square foot
24 square feet
23 3/4square feet
Answer:
it would be 12 square feet human
Step-by-step explanation:
9 1/2+2 1/2=12 so 12 square feet
(This is a multiple choice question)Suppose you are rehearsing for a dance competition and you fall and hurt your shoulder. At the hospital, they take X-rays, consult a shoulder specialist, and give you a stabilizer brace. You pay a $50 co-pay at the time of service, and the ER bills your insurance company for the rest. The total hospital bill is $3,720. The table below shows the payment structure for your health insurance policy. If the injury happened in July, what is your total paid in monthly premiums?
A. 1,050$
B. 150$
C. 900$
Find the edge length of the cube. 0.064m\
The length would be 0.4