Answer:
The value of X is 4, and the area of the triangle is [tex]60^2 units[/tex].
Step-by-step explanation:
First we need to add up all the sides. Doing so will give us the equation [tex]8x+8=40[/tex]. Subtracting 8 from both sides will give us [tex]8x=32[/tex]. Next we divide both sides by 8 in order to isolate the variable, which gives us [tex]x=4.[/tex]
This gives us 4 as our value of x.
Now we need to find the area. Substituting x into the values for base and height will give us 8+7 = 15 for our height, and 4+4=8 for our base. 15*8 is 120, and divided by two gives us 60 as out area.
Thus, x=4 and area=60.
Good day from NightyKnight.
help I'll give brainliest!!!
LMNP is rotated 180° clockwise around the origin. M 3, 4) N54) 2 RE PX90) What are the coordinates of L'? A. L'(1,0) B. L'(-1,0) c. l'(0,1) D. L'(0, -1)
Answer:
It’s (-3, -4)
Step-by-step
I did this program too.
“Gas Additive A”
Additive: “A”
Values below Q1:
“-15, -4, -2”
Q1: “1”
Median: “3”
Q3: “4”
Values above Q3:
“5, 7, 8”
A consumer advocate conducted a test of a popular gasoline additive that was claimed to increase gasoline mileage in cars. For
a sample of 15 cars they used the additive and determined how many more miles the car could drive when the additive was added to the gas tank.
For example, a positive 10 would mean that the car drove 10 more miles with the additive whereas a-3 would mean that the car drove 3 fewer miles with the additive.
The table shows a few data values (of how many more miles a car could drive with the additve) along with some summary statistics.
Are there any striking deviations?
A.) -15
B.) -2
C.) 7
D.) 8
Answer:
A
Step-by-step explanation:
Pls help me pls it’s
Q) What percentage of sudents who passed the test completed the review sheet
A)
19/27*100
=70.37%
Nearest 10th of a percent
=70%
Help me with questions 14 and 15! I will give brainliest!!
Answer:
14=9-11
15= 82.2%
Step-by-step explanation:
23/28=0.8214
Verify the identity:
2 sec^2 x − 2 sec^2 x sin^2 x − sin^2 x − cos^2 x = 1
[tex]\mathrm{Solving}\: \mathrm{prove\:2\sec ^2\left(x\right)-2\sec ^2\left(x\right)\sin ^2\left(x\right)-\sin ^2\left(x\right)-\cos ^2\left(x\right)=1}\\steps \\2\sec ^2\left(x\right)-2\sec ^2\left(x\right)\sin ^2\left(x\right)-\sin ^2\left(x\right)-\cos ^2\left(x\right)=1\\\mathrm{Manipulating\:left\:side}\\2\sec ^2\left(x\right)-2\sec ^2\left(x\right)\sin ^2\left(x\right)-\sin ^2\left(x\right)-\cos ^2\left(x\right)\\=-1+2\cos ^2\left(x\right)\sec ^2\left(x\right)\\=1[/tex]Answer:
Step-by-step explanation:
a machine shop has a fixed cost of $2000 to produce new bolts. The cost of materials and labor to produce each individual bolt is $8.50. Which of the following functions models the average cost per bolt for the company to produce x bolts, where
x>1?
Answer:
(8.50x + 2000)/x and x>1
Step-by-step explanation:
Well, this may not be the exact answer, as it seems you have the choices unlisted--if they even exist at all. But, I'll make do with what I've provided, so
In the question, it says the collective cost for each individual bolt is $8.50, and that we can use the variable x to represent the number of bolts the company wishes to produce. So, this can be shown using 8.50x.
The fixed cost is set in stone, so no alterations need to be applied, and only cause the total to amount to a greater number. So, we end up with (8.50x + 2000)/x and x>1 is the rule for the values of x. Essentially, all that means is that the company will always produce more than one bolt.
What does congruent mean in mathematics
Answer:
same shape and size
Step-by-step explanation:
Answer:
Similarity in my opinion
ASAP!! simplify x^-2 show work
Answer:
1/x^2
Step-by-step explanation:
exponent rule: a^-b = 1/a^b
x^-2 = 1/x^2
Answer:
[tex] \frac{1}{ {x}^{2} } [/tex]
Step-by-step explanation:
1) Remove parentheses.
[tex] {x}^{ - 2} [/tex]
2) Use negative power rule: x^-a = 1/x^a.
[tex] \frac{1}{ {x}^{ 2} } [/tex]
hence, the answer is 1/x^2.
Susan was carrying a pitcher that contained 2/3 of a gallon of lemonade to the table for lunch. She slipped and spilled 1/4 of the lemonade in the pitcher. What fraction of a gallon of lemonade did she spill?
Answer:
Susan spilled 1/6 of a gallon of lemonade.
Step-by-step explanation:
Since Susan was carrying a pitcher that contained 2/3 of a gallon of lemonade to the table for lunch, and she slipped and spilled 1/4 of the lemonade in the pitcher, to determine what fraction of a gallon of lemonade did she spill the following calculation must be performed:
2/3 = 0.6666
0.666666 x 1/4 = X
0.166666 = X
0.166666 = 1/6
Therefore, Susan spilled 1/6 of a gallon of lemonade.
Consider the scatter plot shown complete the sentence the pattern of association between temperature and time is
Answer:
a
Step-by-step explanation:
Can you figure it out
plssssssssssssss
a) 9/7
b) 9/-7
c) 7/9
d) -9/7
e) -9/-7
Answer:
a) 9/7
Step-by-step explanation:
[tex] \dfrac{x^2 + x - 20}{x^2 - x - 12} = [/tex]
[tex] = \dfrac{(x + 5)(x - 4)}{(x + 3)(x - 4)} [/tex]
[tex] = \dfrac{x + 5}{x + 3} [/tex]
x = 4
[tex] = \dfrac{4 + 5}{4 + 3} [/tex]
[tex] = \dfrac{9}{7} [/tex]
What is the total area, in square centimeters, of the shaded sections of the trapezoid
below?
4.2 cm
7.2 cm
6.1 cm
8 cm
2
cm
Answer: A=
Answer:
A=34.77 cm^2
Step-by-step explanation:
Carl buys seven 5-gallon jugs of water for the water cooler. How many liters of water did Carl buy? (1 gal= 3.785 liters)
Answer:
Carl buys 132.475 liters of water.
Step-by-step explanation:
Since Carl buys seven 5-gallon jugs of water multiply 7 by 5 to know how many gallons of water Carl bought in total.
7(5) = 35 Gallons
Now that you have the total amount of gallons of water Carl bought you have to convert 35 gallons to liters given that 1 gallon = 3.785 liters by multiplying 35 by 3.785.
35(3.785) = 132.475
So Carl bought 132.475 liters of water.
Though that is the answer based on what is given a gallon is actually equal to 3.78541 liters so the exact answer would be 132.489 liters of water.
Pls help this is timing me!!!!!
Answer:
D
Step-by-step explanation:
Select the correct answer
Answer:
number 3
Step-by-step explanation:
thats my calcue
I need help with this if your right I will mark uou
Answer:
I think it's a
Step-by-step explanation:
An inequality is two expressions that are
NOT equal, unlike an equation.
True
False
A bag contains 56 marbles: 7 red, 8 green, 11 yellow, 17 brown, and 13 blue.
If a marble is chosen at random, what is the probability that the marble is green?
A.1/5
B.1/6
C.1/7
D.1/8
Answer: D 1/8
Step-by-step explanation: hope this help
Answer:
1/5
Step-by-step explanation:
You count how many colors there are and make how many color as your denominator [5 colors(Red, Green, Blue, Yellow, and Brown)] and find out what color was picked as your numerator [Green(1 color)].
help! geometry
find the arc length of the shaded sector
arc length = blank cm
Answer:
Step-by-step explanation:
we need the arc length formula . it's Arc length = 2πr (θ/360)
Arc length = 2π5 (144/360)
Arc length = 12.56637 cm
The length of a side and corresponding height of a triangle are (x+3) and (2x-5) given that area of triangle is 20cm^2. Find the value of x
Answer:
x = 5
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h is height )
Here A = 20, b = (x + 3) and h = (2x - 5) , then
[tex]\frac{1}{2}[/tex] (x + 3)(2x - 5) = 20 ← multiply both sides by 2
(x + 3)(2x - 5) = 40 ← expand left side using FOIL
2x² + x - 15 = 40 ( subtract 40 from both sides )
2x² + x - 55 = 0 ← in standard form
(x - 5)(2x + 11) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - 5.5
But x > 0 , so x = 5
Plz help me well mark brainliest if you are correct!!
Answer:
3
Step-by-step explanation:
1 hour = 60 minutes.
1/4 of an hour = 60 minutes / 4 = 15 minutes.
15 minutes / 5 minutes segments = 3
There are 3 five-minute segments in 1/4 of an hour
Answer:
C.
Step-by-step explanation:
Answer is C. because there are a total of 60 minutes in 1 hour. We know that there is 30 minutes in half a hour. Half of 30 minutes is 15 minutes and it takes 3 five minute segments to get 15 minutes.
You can do it like this 60 * 1/4 = 60/4
60/4 = 15/1
15 = 5 * 3
Plsssss help me with this angle circle problem what is x
Answer:
x = 3
Step-by-step explanation:
Once again we want to use the relationship stated earlier
Where A * B = C * D
Once again imagine that the segments in the given problem have letters
A = x
B = 12
C = x + 1
D = 9
Now we create an equation using the relationship
12 * x = 9(x+1)
now we solve using basic algebra
step 1 distribute the 9 to the x and the 1
9 * x = 9x
9 * 1 = 9
now we have 12x = 9x + 9
step 2 subtract 9x from each side
12x - 9x = 3x
9x - 9x cancels out
now we have 3x = 9
step 3 divide each side by 3
3x/3=x
9/3=3
we're left with x = 3
Answer:
x = 3 / C. 3
Step-by-step explanation:
Hope this helps
Factorise the following completely: (4 marks)
a)a) 81
Answer:
Learn the factors of 92, and the factors of 93, and the factors of 94.All three of these numbers are composite numbers
If you are trying to build credit by using a credit card, each time you make a purchase with the credit card, deduct that amount from your checking account. That way, when your credit card bill is due, you will have enough to pay the credit card off in full. Kathy Lehner is going to start doing this. She plans on paying her credit card bill in full this month. How much does she owe with a 6% APR and the following transactions? (Round your answer to the nearest cent.)
31-day billing cycle
10/1 Previous balance $ 1,164
10/3 Credit $ 79 cr.
10/12 Charge: King Soopers $ 148
10/15 Payment $ 310 cr.
10/25 Charge: Delta $ 321
10/30 Charge: Holiday Fun $ 61
What would be the amount owed?
Answer:
12593
Step-by-step explanation:
tell me if this hepls
Ur should be noted that Kathy Lehner owes approximately $1,311.97.
How to calculate the amountPrevious balance (10/1): $1,164
Credit (10/3): $79 credit. This reduces the balance, so the new balance is $1,164 - $79 = $1,085.
Charge: King Soopers (10/12): $148 charge. This increases the balance, so the new balance is $1,085 + $148 = $1,233.
Payment (10/15): $310 credit. This reduces the balance, so the new balance is $1,233 - $310 = $923.
Charge: Delta (10/25): $321 charge. This increases the balance, so the new balance is $923 + $321 = $1,244.
Charge: Holiday Fun (10/30): $61 charge. This increases the balance, so the new balance is $1,244 + $61 = $1,305.
Interest calculation: $1,305 * (6% * (31/365)) = $6.9698 (rounded to the nearest cent, which is $6.97).
Finally, to determine the total amount owed, we add the balance and the interest:
Total amount owed: $1,305 + $6.97 = $1,311.97
Therefore, Kathy Lehner owes approximately $1,311.97.
Learn more about amount
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Use the difference quotient of A(r)= πr2 to calculate the average rate of change during certain intervals.
The difference quotient of A(r) is:
StartFraction pi (r + h) squared minus pi r squared Over h EndFraction = StartFraction pi (r squared + 2 r h + h squared) minus pi r squared Over h EndFraction = StartFraction pi r squared + 2 pi r h + pi h squared minus pi r squared Over h EndFraction = 2 pi r + pi h
The average rate of change from the interval 2 to 3 inches is
π square inches per inch.
The average rate of change from the interval 2 to 2.5 is
π square inches per inch.
Answer:
5
4.5
Step-by-step explanation:
edge
The posted speed limit is 45 miles per hour.
Choose all the metric measures that are faster than 45 miles
per hour.
A. 45 km per hour
B. 64.1 km per hour
C. 86.4 km per hour
D. 91 km per hour
E. 112.3 km per hour
Can you help me solve this it’s pretty easy but for you guys
Answer:
x - 81 = 321
adding 81 on both sides
x-81+81= 321+81
x= 402
Answer:
402
Step-by-step explanation:
81+321=402-321=81 n=402
Which situation can be modeled by the expression 4 divided 1/3
Answer:
4
Step-by-step explanation:
4/1x 3/1 =12/1=4
IF YOU GIVE RIGHT ANSWER=BRAINLIEST GUYS PLZZZ HELP!!! LINKS WILL BE REPORTED!!!
Answer:
5 cm
Step-by-step explanation:
Volume of a cylinder = π*radius^2*height
675π = π * radius^2 * 27
radius^2 = 25
radius = 5 cm
Answer:
Step-by-step explanation:
V=pi x r^2 x h
r^2 = 675pi / (pi x 27) = 25
r = 5