Answer:
[tex]x = 3.3cm[/tex]
Step-by-step explanation:
Given
Shape: Pentagon
Small
[tex]Bottom = x[/tex]
[tex]Left = 7cm[/tex]
Big
[tex]Bottom = 7cm[/tex]
[tex]Left = 15cm[/tex]
Required
Find x
From the question, we understand that the big pentagon is a dilation of the small pentagon.
What this means is that; both pentagons will have the same equivalent ratio.
The equivalent ratio, in this case is calculated using
[tex]Ratio = \frac{Bottom}{Left}[/tex]
For the small pentagon:
[tex]Ratio = \frac{x}{7cm}[/tex]
For the big pentagon:
[tex]Ratio = \frac{7cm}{15cm}[/tex]
Equate both ratios:
[tex]\frac{x}{7cm} = \frac{7cm}{15cm}[/tex]
[tex]\frac{x}{7cm} = \frac{7}{15}[/tex]
Cross multiply
[tex]15 * x = 7cm * 7[/tex]
[tex]15 * x = 49cm[/tex]
Make x the subject
[tex]x = \frac{49cm}{15}[/tex]
[tex]x = 3.267cm[/tex]
[tex]x = 3.3cm[/tex] --- approximated
Answer:
The answer should be 3.3
Step-by-step explanation:
I'm taking the test right now.
Crafter's Warehouse sells 3 yards of gray tulle for $5.63. They sell 6 feet of black tulle for $3.58. Which tulle has the better price?
Both tulles have the same price per foot.
The gray tulle has a better price.
The black tulle has a better price.
Answer:
The black tulle has a better price.
Step-by-step explanation:
The black tulle has a better price because its cost is less. Then the correct option is C.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Crafter's Warehouse sells 3 yards of gray tulle for $5.63. They sell 6 feet of black tulle for $3.58.
The units rate price of gray tulle will be given as,
⇒ $5.63 / 3
⇒ $1.88 per yard
The units rate price of black tulle will be given as,
⇒ $3.58 / 6
⇒ $0.60 per yard
The black tulle has a better price because its cost is less. Then the correct option is C.
More about the rate link is given below.
https://brainly.com/question/14731228
#SPJ2
Hector took out a small loan of $900 for 18 months (remember to turn this into
years). The simple interest rate on the loan was 10.5%. How much will he pay in
interest on the loan?
Answer:
$141.75
Step-by-step explanation:
(900)(-105) (13/12) or 1.5
44 mi/h ≈ _______________ yd/min
I need this answer ASAP
Answer:
166m
Step-by-step explanation:
To calculate the area you multiply the length of all the pieces and add them to get. 4x5=20 then double that because there is 2 of those pieces and do the same for the rest of them. After all the multiplying you should get 40, 70, and 56 add them all up to get the answer
plz help will give brainliest
Answer:
Step-by-step explanation:
Its the fourth choice, 8000 is closer to 8132 so you would round that down instead of choosing 8500. Also, 8000 ÷ 20 = 400
The manager of a symphony in a large city wants to investigate music preferences for adults and students in the city. Let pA represent the population proportion of adults who live in the city who prefer pop music. Let pS represent the population proportion of students who live in the city who prefer pop music. Random samples of 200 adults from the city and 200 students from the city will be selected. Which of the following is the best interpretation of P(pˆA−pˆS>0)≈0.022 ?
Answer:
Answer E
Step-by-step explanation
The statement gives a probability of approximately 0.022 for the difference in sample proportions, pˆA−pˆS, being greater than 0.
The interpretation of the given expression is "the difference between the population proportion of adults and the population proportion of students who prefer pop music is approximately 0.022".
Given :
pA is the population proportion of adults.pS is the population proportion of students.The total number of adults is 200 and the total number of students is also 200.The following steps can be used in order to determine the best interpretation of the given expression:
Step 1 - According to the given data, pA is the population proportion of adults who live in the city who prefer pop music.
Step 2 - Also given that pS is the population proportion of students who live in the city who prefer pop music.
Step 3 - So, the interpretation of the given expression is "the difference between the population proportion of adults and the population proportion of students who prefer pop music is approximately 0.022".
Therefore, the correct option is A).
For more information, refer to the link given below:
https://brainly.com/question/8069952
100 points! Help please! Due at midnight. I will mark brainliest. No random answers please or I will report u :)
Answer:
"My" friend is incorrect because, two translations would just move to it to a different area. While a reflection on the other hand will create that reflection that we need.
Step-by-step explanation:
What is the I intercept of a line given by the equation Y=2X-5?
Answer:
slope intercept form of a line is
y = mx+b
where m is the slope and b is the y intercept
y=2x-5
2 is the slope and -5 is the y-intercept
Step-by-step explanation:
b) 66 060
Ce nombre est divisible par
6 + 6 + 0 + 6 + 0 = 18
18 donc oui par 3 et par 9!
what is computer answer
Step-by-step explanation:
A programmable electronic device that performs mathematical calculations and logical operations, especially one that can process, store and retrieve large amounts of data very quickly; now especially, a small one for personal or home use employed for manipulating text or graphics, accessing the Internet, or playing games or media is computer.
Hope it helps :)❤
The following is the set of scores Ivy earned on her science tests. What is the mean of her test scores? 86, 94, 88, 82, 95
A. 86
B. 71
C. 85
D. 89 <------
Answer:
d
Step-by-step explanation:
add them all up then divide by 5
HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!
PLEASE HELP FAST!! ❤️
for 15 points
Answer:
2/3?
Step-by-step explanation:
I'm not sure
Select the correct
inswer
Which term is a term in this expression?
-3x - 7(x + 4)
A.-3
B. 3x
C.-7
D. X+4
A music store buys instruments and then sells them for 30% more than they paid.
If the store buys a guitar for $45, what will the store sell it for?
Answer:
$58.50
Step-by-step explanation:
30% of 45 is 13.50 and 13.50 plus 45 is 58.50
simplify (y⁴)² help me plz I'm noy good at maths
Step-by-step explanation:
Law of Indices: (a^m)^n = a^(mn).
Therefore (y⁴)² = y^(4*2) = y⁸.
Step-by-step explanation:
[tex] = ({y}^{4})^{2} \\ the \: power \: gets \: \: multipied \\ = ( {y})^{8} [/tex]
Hope it will help :)❤
find the additive inverse of-9x+3
Answer:
9x − 3
Step-by-step explanation:
−9x + 3 = −1(−9x + 3) Multiply the expression by −1.
−1(−9x) + −1(3) Distributive Property
9x − 3 Simplify.
The additive inverse of the given expression is 9x-3.
The given expression is -9x+3.
What is additive inverse?The additive inverse of a number is its opposite number. If a number is added to its additive inverse, the sum of both the numbers becomes zero. The simple rule is to change the positive number to a negative number and vice versa.
The additive inverse of the expression is -(expression).
Now, -(-9x+3)
= 9x-3
Therefore, the additive inverse of the given expression is 9x-3.
Learn more about the additive inverse here:
brainly.com/question/24149673.
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which point on the number line represents -1 1/3?
Answer:
C. point R
Step-by-step explanation:
What is the relationship between the following pair of angles.
A. Linear Pair
B. Vertical Angles.
C. Complementary Angles.
D. Supplementary Angles.
Answer:
the relation is complementry angles.
15) The baseball coach bought 6 new baseballs for $1.20 each. The basketball coach
bought 5 new basketballs for $9.10 each. How much more did the basketball coach
spend than the baseball coach?
Answer:
$38.3
Step-by-step explanation:
Baseball = $7.2
Basketball = $45.5
45.5-7.2 = 38.3
what subtracted by 26 equals -102
Answer:
-76
Step-by-step explanation:
Rhonda bought 16.72 meters of yarn from the fabric store. She cut the yarn into 11 pieces of equal length. What was the length of each piece of yarn in meters?
Can someone please find x :) it will be much appreciated !! 20 points.
-5/6x -7/30x + 1/5x = -52
the answer will be a whole number or a simplified fraction.
Answer:
x=60
Step-by-step explanation:
my dad is a math teacher so I am good at math. I also used a calculator
Please help I need this soon
Answer: C = -6.3
Step-by-step explanation:
A tree casts a 249 centimeter shadow. A person next to the tree casts a 91 centimete
shadow. If the person is 169 centimeters tall, how tall is the tree to the nearest
centimeter?
HELP I NEED HELP ASAP
Answer:
Step-by-step explanation:
yes his work looks good
step 1 multiply both side by 2
step 2 subtract both side by 6
step 3 divide both side by 5
:)
Someone help plz I need some help help... plz... I? Help
Answer:
12
Step-by-step explanation:
h(n)=3n
h(4)
1. Subsitute 4 for n
h(4)=3*4
h(4)=12
Answer:
12
Step-by-step explanation:
h(4)=3n
h(4)=3(4)
h(4)=12
help
(04.03) The table shows the ratio of caramel corn to hot pepper corn in a bag. What is the constant of proportionality?
Hot Pepper Corn Caramel Corn
5 8
10 16
15 24
3
8
1.6
0.625
Answer:
0.625
Step-by-step explanation:
To solve the problem, we merely just divide the rates by each other. Ratios are just the fractions of two terms, after all.
Therefore, the answer would be 5/8, or 0.625.
To verify, we can use the other values given in your question.
10/16 is also an answer, but when you simplify, you get 5/8, which gives the same answer- 0.625.
You can do the same with the other ratios given.
15/24 simplified is 5/8, which, once again, is 0.625.
Thus, I can say with certainty that the answer is 0.625.
Hey there!! I just did this assessment (I got them all correct) the correct answer was 1.6
I hope this helps!
( please don't just skip because I don't have an explanation. pwease!)
(This is correct!!!!!!!!!!!!!!!!!!!!!)
Dario increased his savings from $350 to $413. What is Dario's percent increase in
savings?
Answer:
18%
Step-by-step explanation:
63/350 × 100 = 18
hope this helps
You hike up a mountain. You climb steadily for 2 hours, then take a 30-minute break for lunch. Then you continue to climb, faster than before. When you make it to the summit, you enjoy the view for an hour. Finally, you decide to climb down the mountain, but stop halfway down for a short break. Then you continue down at a slower pace than before. Sketch a graph of the situation. a. Height (feet) Time (hours) b. Is the graph discrete or continuous? Explain your reasoning.
Answer:
Continuous
Step-by-step explanation:
The graph is considered continuous due to the fact that it can take any amount of height, weight, and temperature. If it was discrete there would be a limit to your hike.
I really hope this helped you, please be sure to make my answer brainiest. Thank you and have a great night sleep / or have a great day! :D