Answer:
11.8cm²
Step-by-step explanation:
The area of the regular pentagon is expressed as;
A = pa/2
p is the perimeter of the pentagon
a is the apothem
Since p = 5s
s is the side length, hence;
A = 5sa/2
Get the side length s;
central angle = 360/5
central angle = 72degrees
angle in the right angle triangle =72/2 = 36degrees
Using SOH CAH TOA
sin 36 = x/2
x = 2sin36
x = 1.1755
s = 2x
s = 2.35cm
Get the area
A = 5(2.35)(2)/2
A = 5(2.35)
A = 11.8cm²
Hence the area of the regular pentagon is 11.8cm²
Answer:
11.8cM
Step-by-step explanation:
(2x-7)(5x+75)=0
Solve this using factoring, what are the two x’s?
Note : a × b = 0 ==》 a = 0 Or b = 0
_________________________________
( 2x - 7 )( 5x + 75 ) = 0
2x - 7 = 0 ===》 2x = 7 ===》 x = 7 / 2
===》 x = 3.5
Or
5x + 75 = 0 ==》 5x = - 75 ==》 x = - 75 / 5
==》x = - 15
Step-by-step explanation:
(2x-7)(5x+75)=0
2x(5x+75) -7 (5x+75)=0
10x^2 + 150x - 35x - 525 =0
10x^2 + 115x - 525 =0
5(2x^2 + 23x - 105 ) =0
2x^2 +30x-7x - 105 =0
2x ( x + 15 ) -7 ( x + 15) = 0
(2x-7) (x + 15) =0
so, 2x-7=0 and x+15 =0
x = 7/2 and x = -15
#cancelicseboardexam2021
He price of a computer component at the QRCC bookstore is decreasing at a rate of 2.25% per year. Decide whether this decrease is linear or exponential.
Answer:
The decrease is exponential.
Step-by-step explanation:
An exponential decrease is something like:
f(x) = A*(r)^x with 0 < r < 1
A linear decrease is something like:
g(x) = -a*x + b with a > 0
First ai general formula.
If you have a quantity Q, decreased by an X%, the new quantity will be:
New Quantity = Q - Q*(X%/100%)
Now let's look at the question:
Suppose that the original price of the computer component is K
And the price as a function of the year is P(y)
Then we know that, in the year zero, the price is K.
P(0) = K
One year after, the price decreases by 2.25%
Then:
P(1) = K - K*(2.25%/100%) = K*(1 - 0.0225)
After another year, we will have another decrease of 2.25%
Then:
P(2) = K*(1 - 0.0225) - K*(1 - 0.0225)*(2.25%/100%)
P(2) = K*(1 - 0.0225)*(1 - 0.0225) = K*(1 - 0.0225)^2
We already can see the pattern, we can expect that in the year y, the price of the component will be:
P(y) = K*(1 - 0.0225)^y
This clearly is an exponential decrease.
Can someone please help me with math.
Answer:
16) x = 11
17) C
Step-by-step explanation:
16) take square root of each side
17) look for the answer that has a +1 as the y-intercept and a positive slope
Which of the following situations have a sum of 0? Select all that apply.
The temperature was 10' at 7:00a.m. The temperature then rose 10' from 7:00 am to 8:00 am
The temperature was 7" at 11:00 am. The temperature then drops 7" from 11:00 am to 1:00 pm
The temperature drops 14" from 6:00 am to 8:00 am. The temperature then drops 14" from 8:00 am to 10:00 am
The temperature drops 15" from 5:00 am to 6:00 am. The temperature then rises 15" from 6:00 am to 7:00 am
The temperature was -5° at 9:00 am. The temperature then dropped 5 from 9:00 am to 10:00 am
O The temperature was -3º at 4:00 a.m. The temperature then rose 3" from 4:00 am to 5:00 a.m
please help!!
Answer:
B
Step-by-step explanation:
if the temp is at 7 then drop seven, the answer is 0
3 7/8 + 5 1/2 PLEASE
Answer:
The answer is: 75/8 OR if you want it simplified: 9 3/8
~hope this has helped you, have a gr8 day/night my friend!~
Step-by-step explanation:
HELP MAX POINTS AND BRAINLIEST!!!! If y = 4x -2, what are possible inputs and outputs of the function? Complete the ordered pairs:
(0,__)
(-2, __)
(_,14)
(_,-14)
what type of function is it?
Answer:
(0, -2)
(-2, -10)
(3, 14)
(-3, -14)
Linear Function
Step-by-step explanation:
Formula: y = 4x - 2
Plug in the values of x or y for each ordered pair:
y = 4(0) - 2
y = 0 - 2
y = -2
(0, -2)
y = 4(-2) - 2
y = -8 - 2
y = -10
(-2, -10)
14 = 4x - 2
12 = 4x
3 = x
(3, 14)
-14 = 4x - 2
-12 = 4x
-3 = x
(-3, -14)
What type of function is it?
Linear function
Why is it a linear function?
Refer back to the original formula given: y = 4x - 2. This is in slope-intercept form, or y = mx + b. This specific format informs graphers the line will be straight, or linear. You can also graph all of the ordered pairs to obtain a visual of a straight line, proving this function to be linear.
#1
y=4(0)-2y=-2So pair is
(0,-2)
#2
y=4(-2)-2y=-10Pair is (-2,-10)
#3
14=4x-24x=16x=4pair is
(4,14)
#4
-14=4x-24x=-12x=-3Pair is
(-3,-14)7. A car drives 50 miles in the first hour on the road, 70 miles during the 2nd hour and 10 miles for 1/2 hour (traffic jam), then 60 miles in the final half hour of the trip. What was the average speed for the entire trip?
Answer:
Step-by-step explanation:
Average Speed = Total Distance / Total Time
Total Distance = 50+ 70 + 10 + 60 = 190 Miles
Total Time = 1 + 1 + 1/2 + 1/2 = 3 hours
Average speed = 190 / 3 = 63.3 mph
Using n = 3.14, find the area of a circle with a radius of 7.
Round your answer to the nearest hundredth.
Area of a circle = pi x r^2
Area = 3.14 x 7^2
Area = 3.14 x 49
Area = 153.86 square units.
Given f(x) = 1/3(4 - x)2,what is the value of
f(16)?
Answer:
f(16)= -8
Step-by-step explanation:
f(16)= 1/3(4-16)2
Answer:
-8
Step-by-step explanation:
To answer this question, you must plug in the given 16 to the equation
f(16)= 1/3(4-16)2
f(16)= 1/3(-12)2
f(16)= 1/3(-24)
f(16)= -8
3. What is the simplified form of 4 V3 – V27?
?
A. -5V3
B. -7V3
C. V3
D. -V9
Please help me noww
Answer:
C
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplify [tex]\sqrt{27}[/tex]
= [tex]\sqrt{9(3)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex]
= 3[tex]\sqrt{3}[/tex]
Then
4[tex]\sqrt{3}[/tex] - 3[tex]\sqrt{3}[/tex]
= [tex]\sqrt{3}[/tex] → C
Find the volume of the cone
Acellus
Answer:
Step-by-step explanation:
Volume of the cone
Height =2 √3
Base = 2cm
HELPPP QUCIKKK
6.75 cm
a. Draw or describe the net of this triangular prism. Make sure to include the dimensions of each part of the net.
b. Use your net to calculate the surface area of the prism.
UPDA
(don’t reply with a link)
A 64 ounce bottle of organic orange juice costs $14.72. What is the price
per ounce?
Anna typed 600 words in 15 minutes. How many words can she type per
minute?
A 64 ounce bottle of organic orange juice costs $14.72. What is the price
per ounce?; 0.23
Anna typed 600 words in 15 minutes. How many words can she type per
minute?; 40 words per minute
x+10=2x-4 what does x=
Answer:
x = 14
Step-by-step explanation:
x + 10 = 2x - 4
x + 10 - 10 = 2x - 4 - 10
x = 2x - 14
x - 2x = 2x - 2x - 14
- x = - 14
- x ÷ - 1 = - 14 ÷ - 1
x = 14
In cm, the lengths of the sides of a rectangle are 30 and 24. Find the nearest degree the measure of the angle formed by a diagnol and one of the longer sides
Answer:
38.42cm
Step-by-step explanation:
Given that the length of the sides of a rectangle are 30 cm and 24 cm.
The length of the diagonal can be obtiaed using Pythagoras rule
Length of the diagonal = hypotenus
Hypotenus = sqrt(opposite ² + adjacent ²)
Opposite and adjacent sides are 30cm and 24 cm
Hypotenus = sqrt(30² + 24²)
Hypotenus = sqrt(900 + 576)
Hypotenus = sqrt(1476)
Hypotenus = 38.419
Length of diagonal = 38.42cm
Answer:
find the size of angle O to the nearest degree
please help me with this math problem, the question is on the picture that i attached, ill mark brainliest if the answer is correct. NO links!
Answer:
cos z = 35 / 37
Step-by-step explanation:
cos z is the ratio of the adjacent side of a triangle (the side adjacent to angle z to the hypotenuse:
cos z = (adj. side) / (hypotenuse)
Here we have cos z = 35 / 37
Can anyone answer this I need it ASAP plz
Answer: x = 13.4
Step-by-step explanation:
1. Subtract 90 degrees and 33 degrees to get angle X, which is 57 degrees.
2. Using Laws of Sine, plug in the known elements of the triangle:
(16) / (sin(90)) = (x) / (sin(57))
3. Cross multiply, this will leave 16sin(57) = xsin(90)
4. Divide sin(90) to the other side, leaving x = (16sin(57)) / (sin(90))
5. Plug this into a calculator and your final answer should be 13.4
Determine whether the conclusion is valid. Explain. You want to determine the number of students in your school who have visited a science museum. You survey 50 students at random. Twenty have visited a science museum, and thirty have not. So, you conclude that 40% of the students in your school have visited a science museum.
Answer: The conclusion is valid
Step-by-step explanation:
Number of students surveyed = 50
Number of students who visited a science museum = 20
Number of students who haven't visited a science museum = 30
Percentage of student that have visited a Science museum:
= 20/50 × 100
= 40%
The conclusion is valid based on the calculation.
Ms. Castillo spent $87.75 on shrimp. The shrimp cost $9.75 per pound. How many pounds of shrimp did Ms. Castillo buy?
Answer:
9 pounds
Step-by-step explanation:
87.75 divided by 9.75 = 9
9
Determine the equation of the line that passes through the given points. (If you have a graphing calculator, you can use the table feature to confirm that the coordinates of both points satisfy your equation.)
(10, 2) and (-3, 2)
a.
y = 2 x
b.
y = 2 x minus 3
c.
y = 2
d.
y = 2 x + 10
Please select the best answer from the choices provided
A
B
C
D
Answer:
c). y = 2
Step-by-step explanation:
We can check a line by inputting the x and y from (x, y) into the equation.
For a. y = 2x we get
2 = 2*10 and 2 = 2*(-3), both of those are false
For b. y = 2x - 3 we get
2 = 2*10 - 3 and 2 = 2*(-3) + 10, both of those are false again
For c. y = 2 we get
2 = 2 and 2 = 2, both of those are true, so this is the right answer.
For d. y = 2x + 10 we get
2 = 2*10 + 10 and 2 = 2*(-3) + 10, both of those are false
Alternatively, we can solve the equation y = ax + b (this gives a single answer for any two points with different x's).
y = ax + b
We input (x, y) as (10, 2) and (-3, 2)
2 = a*10 + b = 10a + b
2 = a*(-3) + b = b - 3a
so we have
10a + b = b - 3a
13a = b - b
13a = 0
a = 0
Now we ca use a = 0 to solve either of the equations above:
2 = 10a + b
2 = 10*0 + b
2 = b
so with a=0 and b=2 we get the answer
y = 0*x + 2
y = 2
Which brings us to answer c. again.
Factorise 5a^2-6a
^^^^^^^^
Answer:
a(5a - 6)
Step-by-step explanation:
5a² - 6a
Common factor: a
Factored:
a(5a - 6)
What is the answer to my question.
Answer:
132
Step-by-step explanation:
8×4×3 + 3×3×4
96+36=132
when would you solve by elimination?
Answer:
when its a linear equation
Step-by-step explanation:
Answer:
In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.
What is the sum of the interior angles of the polygon pictured below?
The shape has 9 sides.
Sum of interior angles = (n-2) x 180, where n is the number of sides.
Sum of interior angles = (9-2) x 180 = 7 x 180 = 1,260 degrees.
Answer:
Solution :-We have
Side of polygon = 9
So,
By using the formula
(n - 2) × 180
(9 - 2) × 180
7 × 180
1260⁰
[tex] \\ [/tex]
Write each percent as a decimal.
Draw a diagram or number line to
illustrate each percent.
a) 120% b) 250% c) 475%
d) 0.3% e) 0.53% f) 0.75%
Answer:
1.20 2.50 4.75 0.003 0.0053 0.0075
Step-by-step explanation:
Divide each percent by 100 to get the decimal form.
Sorry for not showing a diagram, but I hope this helps!
You have total coins for a total of $. . You only have quarters and dimes. Let represent the number of quarters and represent the number of dimes.
Answer:
[tex]Quarters = 41[/tex]
[tex]Dimes = 18[/tex]
Step-by-step explanation:
Given
[tex]Coins = 59[/tex]
[tex]Worth = \$12.05[/tex]
[tex]d = dimes[/tex]
[tex]q = quarters[/tex]
Required
The number of each coin
The total coins can be represented as:
[tex]d + q = 59[/tex]
[tex]1\ quarter = \$0.25 \\ 1\ dime = \$0.10[/tex]
So, the worth of the coin is:
[tex]0.25q + 0.10d = 12.05[/tex]
The equations to solve are:
[tex]0.25q + 0.10d = 12.05[/tex]
[tex]d + q = 59[/tex]
Make d the subject in: [tex]d + q = 59[/tex]
[tex]d =59 - q[/tex]
Substitute [tex]d =59 - q[/tex] in [tex]0.25q + 0.10d = 12.05[/tex]
[tex]0.25q + 0.10(59 - q) = 12.05[/tex]
[tex]0.25q + 5.9 - 0.10q = 12.05[/tex]
Collect like terms
[tex]0.25q - 0.10q = 12.05 - 5.9[/tex]
[tex]0.15q = 6.15[/tex]
Solve for q
[tex]q=\frac{6.15}{0.15}[/tex]
[tex]q=41[/tex]
Substitute [tex]q=41[/tex] in [tex]d =59 - q[/tex]
[tex]d = 59 - 41[/tex]
[tex]d = 18[/tex]
So:
[tex]Quarters = 41[/tex]
[tex]Dimes = 18[/tex]
can some one help me plsss
Answer:
you can make any triangle from the above measures
Which expressions can be used to compute the approximate area of triangle XYZ? Check all that apply.
Triangle X Y Z has a base of 22 and a height of 23.1. The triangle also has a base of 31.9 and a height of 15.9.
One-half times 22 times 23.1
One-half times 15.9 times 23.1
One-half times 15.9 times 22
One-half times 22 times 31.9
One-half ties 15.9 times 31.9
One-half times 23.1 times 31.9
One-half times 22 times 23.1
One-half ties 15.9 times 31.9
The area of triangles is One-half times 22 times 23.1 and One-half ties 15.9 times 31.9. Then the correct options are A and E.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
Triangle X Y Z has a base of 22 and a height of 23.1.
Then the area of the triangle will be
[tex]\rm Area\ triangle = \dfrac{1}{2} \times 22 \times 23.1[/tex]
The triangle also has a base of 31.9 and a height of 15.9.
Then the area of the triangle will be
[tex]\rm Area\ triangle = \dfrac{1}{2} \times 15.9 \times 31.9[/tex]
More about the triangle link is given below.
https://brainly.com/question/25813512
PLEASE HELP I WILL MARK BRAINLIEST
Answer:
1 or 2
Step-by-step explanation:
but om pretty sure its 2
Answer:
22
Step-by-step explanation: its 22 because 1/4 x 22= 5 1/2
What are the zero(s) of f(x + 3)?
Answer:
function f(x) = x + 3 has a zero at x = 3 since f(3) = 0.
Step-by-step explanation:
