A convex pentagon has interior angles that measure 60, 80, 120, and 140. What is the measure of the fifth interior angle?
Explanation -:Given -
First interior angle = 60°Second interior angle = 80°Third interior angle = 120°Fourth interior angle = 140°To Find -
Fifth interior angleSolution -
Let us assume fifth interior angle as x
We know,
Sum of interior angles of a pentagon is 540°
60° + 80° + 120° + 140° + x° = 540°
→ 400° + x° = 540°
→ x° = 540° - 400°
→ x = 140°
Fifth interior angle of a pentagon = 140°
[tex] \rule{185pt}{7pt}[/tex]
Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
?
?
17 yd
11 yd
9 yd
(4 yd
15 yd
Answer:
The missing length would be 6
Step-by-step explanation:
Please help me soon as possible !!!!!!!!!!
HELP PLEASE!!!! WHO WANTS BRAINLEST!!b
Answer:
3/13
Step-by-step explanation:
number of balloons that are green AND shaped like a dog (3) over the TOTAL number of balloons (13)
The arc length of arc DF measures 30 m. What is the area of the circle?
Answer:
Step-by-step explanation:
Givens
arc length DF = 30
pi = 3.14
Comment
The problem is that it looks to me like you have marked DF = 30. That's not what is given. What you are given is a part of the circumference is equal to 30.
Solution
The formula you should be using 100/360 * 2 * pi * r You should be solving for r.
30 = 100/360 * 2 * pi * r Multiply both sides by 360
30*360 = 100 * 2 * pi * r Combine left and right
10800 = 200* 3.14 * r
10800 = 628 * r Switch Divide both sides by 628
628 * r/ 628 = 10800 / 628
r = 17.197
Answer
Area of the circle = pi*r^2
Area of the circle = 3.14 * 17.197^2
Area of the circle = 928.66 m^2
Please help + show work
Answer:
8.4
Step-by-step explanation:
42/5 = 8.4
Each value is multiplied by 8.4.
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f(x)=-x^2+6 f(x)=−x 2 +6 \text{Find }f(-1) Find f(−1)
Answer:
7
Step-by-step explanation:
[tex]f(x) = x^{2} + 6[/tex]
[tex]f(-1) = (-1)^{2} + 6\\f(-1) = 1 + 6\\f(-1) = 7[/tex]
8.
Which fraction would make this equation true? 5 x ?/? = 6 1/4
3/4
4/4
5/4
Using a p-value of .05 means that there is a 95% chance that the results of a study are truly statistically significant. This means that there is still a 5% chance those results are due to chance. This, combined with ________, are two main contributing factors to the reproducibility crisis.
Step-by-step explanation:
”. What this means is that there is less than a 5% probability that the results happened just by random chance, and therefore a 95% probability that a results reflects a meaningful pattern in human psychology. We call this statistical significance, and, statistically speaking, this is a pretty high standard
If this means that there is still a 5% chance those results are due to chance. This, combined with publication bias , are two main contributing factors to the reproducibility crisis.
What is publication bias?When the results of research investigations affect whether or not they are published, it is known as publication bias.
It alludes to the propensity of academics, journals and other interested parties to publish studies with statistically significant or favourable outcomes while omitting or underreporting those with non-significant or unfavourable outcomes.distorted and incomplete.
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A city's population is currently 467,500. If the population doubles every 42 years, what will the population be 168 years from now?
If the population doubles every 42 years then the population will be after 168 years from now, 7,498,000
What are exponential functions?An exponential function is a mathematical function which we write as a
f(x) = aˣ, where a is constant and x is variable term. The most commonly used exponential function is eˣ , where e is constant having value 2.7182
We can use exponential growth:
If the population doubles every 42 years, the population after t years can be modeled as:
P = 467,500 x 2^(t/42)
where P is the population after t years and 467,500 is the current population.
To find the population 168 years from now, we can plug in t = 168:
P = 467,500 x 2^(168/42)
= 467,500 x 2⁴
= 467,500 x 16
= 7,498,000
So, the population of the city 168 years from now is approximately 7,498,000.
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Liquid A has a density of 1.42 g/cm³
7 cm³ of liquid A is mixed with 125 cm of liquid B to make liquid C.
Liquid C has a density of 1.05 g/cm³.
Find the density of liquid B.
Give your answer correct to 2 decimal places.
Step-by-step explanation:
if I understand correctly, then we are mixing 7 cm³ of liquid A with 125 cm³ of liquid B to a liquid C.
A has a density of 1.42 g/cm³.
B has a density of x g/cm³.
the resulting C has a density of 1.05 g/cm³.
the first thing we see is the quantity of C :
C = A + B = 7 + 125 = 132 cm³
what "comes in" must also "come out" again.
there is no mentioning of a chemical reaction, that might cause a change of volume or mass of the mixture.
so, the whole is exactly the sum of its ingredients.
now about mass and density :
as also the mass (g) of the resulting C must be the same as the sum of the masses of A and B, we multiply the density by the quantity of every liquid to get the mass (g). and that is how we get then the missing density of B :
7×1.42 + 125x = 1.05×(7+125)
9.94 + 125x = 1.05×132 = 138.6
125x = 128.66
x = 1.02928 ≈ 1.03 g/cm³
Find the common factor of the polynomials 5x3+40x2+80x,x4-256
Answer:
(x + 4)
Step-by-step explanation:
5x³ + 40x² + 80x, x^4 - 256
5x ( x² + 8x + 16)
5x (x + 4) (x + 4)
x^4 - 256
a² - b² = (a + b) (a - b)
x² - 4² = (x + 4) (x - 4)
(x² + 16) (x + 4) (x - 4)
I hope this helps!
5. A chef prepared 48,462 plates of shrimp. There were 96 shrimp on each plate. How many
shrimp did the chef prepare?
Answer:
4,652,352
Step-by-step explanation:
Plates of shrimp prepared = 48,462
No. of shrimps in each plate = 96
No. of shrimps in total = 48,462 x 96
= 4,652,352
Au cours d'une année, le prix de l'essence à la pompe augmente de 4% puis de 6% et enfin baissé de 10%. Quel est le taux d'évolution du prix de l'essence cette année?
Answer:
[tex] \\black{ \rule{1pt}{900000pt}} \
[/tex][tex]
I need help finding surface area
Fifteen less than the product of three and a number is thirty-six.
what is this in an equation?
Answer:
Let the unknown number be x,
equation would be :- 3x - 15 = 36
If you're solving a quadratic equation by factoring
what would the factorization of f(x)=2x^2+15x+7
Answer:
(2x+1)(x+7)
Step-by-step explanation:
Express (x+3)^2 as a trinomial in standard form.
Answer:
x^2+6x+9
Step-by-step explanation:
(x+3)^2
(x+3)(x+3)
x^2+3x+3x+9
x^2+6x+9
if 7 is mean of 10,3,4,a,6,9,10. Find the value of a
Answer:
Step-by-step explanation:
Mean=((4+10+3+6+9+10+a)/7)=7
=>42+a=49
=>a=7Mean=((4+10+3+6+9+10+a)/7)=7
=>42+a=49
=>a=7
Answer:
a = 7
Step-by-step explanation:
Given:
7 is mean of 10,3,4,a,6,9,10
To Find:
Value of a
Solve:
Mean → [tex]\frac{(4+10+3+6+9+10+a)}{7}=7[/tex]
⇒ 42+a=49
Subtract 42 from both sides
x + 42 - 42 = 49 - 42
Simplify
⇒ a=7
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Bianca took out a $2,600 unsubsidized Stafford loan. She will be attending school for four years, and she wishes to have the loan paid off five years before its normal ten-year duration is finished. The loan has an interest rate of 6. 2%, compounded monthly. How much will she have to pay monthly to avoid interest capitalization? a. $12. 40 b. $19. 29 c. $13. 43 d. $17. 36 Please select the best answer from the choices provided A B C D.
Answer:
c. $13. 43
Step-by-step explanation:
Here's the simple interest formula: Interest = P x R x N. P = Principal amount (the beginning balance). R = Interest rate (usually per year, expressed as a decimal). N = Number of time periods (generally one-year time periods).
Why do teachers use a percent when grading school work?
Answer:
easier to grade and to calculate average
Step-by-step explanation:
How many cameras will be necessary to cover the entire store? 6 9 12 18
There are 18 cameras that will be necessary to cover the entire store, the correct option is D.
What is the unitary method?A unitary method is a method by which we can find the value of one unit from the value of many units and the value of many units from the value of one unit.
Given
Marina wants to install security cameras in her store, which has dimensions 48 feet by 48 feet.
Each camera can view an area of approximately 128 ft2, with a viewing area shaped like a right triangle.
The distance between grid lines is 4 feet.
From the information given, the area of the store roof will be:
= 48 × 48 = 2304 ft²
The area viewed by the camera = 112.5ft²
The number of cameras that will be necessary to cover the entire store is;
[tex]= \dfrac{2304}{128}\\\\= 18[/tex]
Hence, there are 18 cameras that will be necessary to cover the entire store.
To know more about the unitary method click the link given below.
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Answer:
There are 18 cameras that will be necessary to cover the entire store. .aka D
Step-by-step explanation:
Edge2023
What is the solution to the equation:
x^3=64
PLS EXPLAIN 4 BRAINLIEST
Answer:
x = 4
Step-by-step explanation:
In this equation, x is being cubed to equal 64. When x is being cubed, it means that x is multiplied by itself 3 times to get 64. Thus, we have to find which number to the power of three = 64.
1^3 = 1 x 1 x 1 = 12^3 = 2 x 2 x 2 = 83^3 = 3 x 3 x 3 = 274^3 = 4 x 4 x 4 = 64Therefore, x = 4.
Equation: 3√64 = x
In case you needed it
This so happens to be a perfect cube
Cube = A number raised to the power of 3
1 x 1 x 1 = 1
2 x 2 x 2 = 8
3 x 3 x 3 = 27
4 x 4 x 4 = 64
So therefore, x = 4
Hope this helped you!
I really need help with this or i'll get and F
Answer:
21 centimeters
Step-by-step explanation:
40 millimeters is 4 centimeters and 25-4 is 21.
Side Note: I used to have to do math iready but im in algebra now so not anymore.
Answer:
the answer is 15
Step-by-step explanation
I'm suck on this question can anyone help me
with it Jina has ridden 18 miles of a bike course. The course is 60 miles long. What percentage of the course has Jina ridden so far?
Answer:
30%
Step-by-step explanation:
percentage of the course she has ridden = 18/60 ×100
=0.3×100=30 %
28+56t+28w to identify the equivalent expressions.
Choose 2 answers:
Answer:
28(1 + 2t + w)
Step-by-step explanation:
This polynomial can be factored by factoring out 28.
28 + 56t + 28w = 28(1 + 2t + w)
Select the correct answer from each drop-down menu.
A mother tracks the duration of her baby's two daily naps for a few weeks. The mean time and variance, in minutes, for each nap are recorded in
the table. On average the baby takes a longer nap for the (second nap/first nap) the length of the baby’s nap varies more in the (second nap/first nap)
Answer:
second nap,second nap
Step-by-step explanation:
just took it on plato and got 100%
Find the area of the irregular figure.
5 in.
4 in.
12 in.
A = [? ]in.2
5 in.
7 in.
11 in.
Answer:
155
Step-by-step explanation:
i need help finding the answers on this question there is more than one
Answer:
number 1,2 and 3
hope it will help you.
if it is wrong then sorry
Answer:
Here's the correct answers for your queries.
But the last option is not correct because z° and y° do not collectively form 90° which is the complementary angle. And the values are also provided.
Therefore,
The Correct Answers Are:
√A
√B
√C
But not D.
PLEASE HELP!!
The table below shows how much money you have in savings each week. Answer the questions below
⚠️PLEASE ANSWER ASAP⚠️
Justin spent a total of $15 ice skating. He rented ice skates for $4.50 and skated for 3 hours. Write an equation to determine the cost per hour, h, to ice skate.
Answer:
3h+4.50=15
We know that she skates for 3 hours, but we don't know the cost per hour so is the "h". He pays a start up $4.50 for the ice skates. And he spend $15 in total for ice skating.
Hopefully that helps. Have a great night! Or day!