Answer:
83.61
Step-by-step explanation:
90 decreased by 7.1% = 83.61
Mark my answer as brainliest please.
Answer:
answer =83.61
Step-by-step explanation:
90( 1 - 7.1 / 100 )
lets break it down
step 1: 7.1 / 100 = 0.071
step 2: 1 - 0.071 = 0.929
step 3: 90 x 0.929 = 83.61
final answer = 83.61
Find the area of the figure below.
15 m
12 m
18 m
a. 431.59 m2
b. 395.59 m²
O c. 1,042.37 m²
Answer:
b. 395.59 m²
Step-by-step explanation:
It's honestly a lot to explain however I can explain if you want me too. Just let me know!
We can write the area of the given figure as 431.59 square meters.
What is Area?Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -
V = ∫∫F(x, y) dx dy
Given is a figure as shown in the image.
It is asked to find the total area of the given figure.
We can write the area of the figure as -
Area = Area{triangle 1} + Area{rectangle} + A{triangle 2} + A{semi circle 1} + A{semi circle 2}
Area = {1/2 x 12 x 15} + {12 x 15 - √(18² - 12²)} + {1/2 x 12 x √(18² - 12²)} + {π(18² - 12²)/2} + {π(15² + 12²)/2}
Area = 431.59 square meters
So, it can be concluded that the area of the given figure as 431.59 square meters.
Therefore, we can write the area of the given figure as 431.59 square meters.
To solve more questions on areas, visit the link-
https://brainly.com/question/29213222
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A yield sign is an equilateral triangle with a side length of 36 inches. What is the height (h) of the sign? Leave your answer in simplest radical form.
Answer:
18[tex]\sqrt{3}[/tex] inches
Step-by-step explanation:
Applying,
Pythagoras theorem,
a²= b²+c²
Where a = hypotenus, b = base of the triangle, c = height.
make c the subject of the equation
c = √(a²-b²)................. Equation 2
From the diagram attached,
Given: a = 36 in, b = (36/2) in = 18 in
Substitute these values into equation 2
c = √(36²-18²)
c = √(1296-324)
c = √(972)
c = √(972)
c = √(324×3)
c = 18[tex]\sqrt{3}[/tex] inches
PLEASE HELPP!
A cylinder has the volume of 1000 pi show with working that if the height = 20cm then the radius = 5 cm.
Answer:
5^2 = 100
100 x 3.14 = 314
Now we multiply by 20 since it's the height.
314 x 20 = 6,280 cm^3 is your answer.
Formula of cylinder:
H x πr^2
Height x pi(3.14 or 22/7 depending what they tell you to use for pi) x radius being squared (your radius is half of your diameter or given radius).
Use the diagram below. If m∠3 = 60°, find m∠4.
Answer:
120
Step-by-step explanation:
Write the exponential function represented by the tables below
Step-by-step explanation:
15. f(x) = 4 (3)^x
16. f(x) = 4 (2)^-x
What is the definition of mean?
Answer:
D. It is the sum of the data divided by the number of pieces of data
Step-by-step explanation:
It's also known as the average of the numbers in a data set.
What is the definition of mean?
[tex]{\boxed{\mathcal{\red{Answer.}}}}[/tex]
[tex]D.\:It \: is \: the \: sum \: of \: the \: data \: divided \: by \: the \: number \: of \: pieces \: of \: data.[/tex]
The mean is the average of the numbers.To find the mean, we add up all the numbers, then divide by how many numbers there are.[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
I need help with this please it would make my day
Answer:
Its Y=30
Step-by-step explanation:
5y+y+2y-60=180
8y-60=180
8y=240
8y/8=240/8
y=30
Prove
Tan(x)+cot(x)=sec(x)/sin(x)
Answer:
Step-by-step explanation:
tanx + cotx = secx / sinx
take left hand side
=tanx + cotx
=sinx/cosx + cosx/sinx
=sinx*sinx+cosx*cosx/sinx*cosx
=sin^2x + cos^2x/sinx*cosx
=1/sinx*cosx
=1/cosx * 1/sinx
=secx/sinx
at second last step i changed multiplication sign into divide sign and write the reciprocal of 1/sinx which is sinx.
Which graph represents the parametric equations x = t^2 + 2t and y = –t, where –4 ≤ t ≤ 1?
Answer:
We have:
x = t^2 + 2*t
y = -t
where:
–4 ≤ t ≤ 1
Isolating t in the "y" equation, we get:
t = -y
Now we can use the limits of t, to find similar limits for y.
When t = -4
-4 = -y
4 = y
when t = 1
1 = -y
-1 = y
Then the limits for y are:
-1 < y < 4
Now, knowing that t = -y
we can replace that in the "x" equation:
x = t^2 + 2*t
x = (-y)^2 + 2*(-y)
x = y^2 - 2*y
Then the graph of the parametric equation is the one defined by:
x = y^2 - 2*y
in the range
-1 < y < 4
The graph of this can be seen below, where the two black dots are the points where the graph should start/end.
The graph that represents the parametric equations is a parabola with an axis of symmetry is parallel to the x-axis.
An approach to determine the possible graph consists in eliminating [tex]t[/tex] and simplify the resulting expression of the form [tex]f(x)[/tex]:
[tex]x = t^{2}+2\cdot t[/tex] (1)
[tex]y = -t[/tex] (2)
By (2):
[tex]t = -y[/tex]
(2) in (1):
[tex]x = (-y)^{2} + 2\cdot (-y)[/tex]
[tex]x = y^{2}-2\cdot y[/tex]
In a nutshell, the graph that represents the parametric equations is a parabola with an axis of symmetry is parallel to the x-axis.
To learn more on parametric equations, we kindly invite to check this verified question: https://brainly.com/question/9056657
Please solve with explanation
solve: 6d = 84
*with the steps*
Answer:
d = 14
Step-by-step explanation:
6d = 84
Divide each side by 6 to isolate d
6d/6 = 84/6
d =14
rationalise 1/√5 please tell
Answer:
Step-by-step explanation:
1/[tex]\sqrt{5}[/tex]
=1[tex]\sqrt{5}[/tex] *[tex]\sqrt{5}[/tex]/[tex]\sqrt{5}[/tex]
=1*[tex]\sqrt{5}[/tex]/[tex]\sqrt{5}[/tex]*[tex]\sqrt{5}[/tex]
=1[tex]\sqrt{5}[/tex]/5
To what amount will $8000 growing if it is invested for 12 years at 6% compounded quarterly
Answer:
The final balance is $16,406.01.
The total compound interest is $8,406.01
Step-by-step explanation:
take the initial balance and multiply that by the interest then take 12 and multiply that times the previous answer.
There are 2.54 Centimeters in 1 inch . THere are 100 Centimeters in 1 meter
To the nearest Meter, how many meters are in 360 inches
Answer:
9.144meters
Step-by-step explanation:
Given data
We are expected to perform unit conversion in this problem
2.54cm is equivalent to 1 inch
100cm equal to 1 meters
360 inches to cm will be
=360*2.54
= 914.4cm
914.4cm to meters will be
=914.4/100
=9.144meters
Write the ratio as a fraction in simplest form.
1. 8 to 14
2. 36 even : 12 odd
3. 42 vanilla to 48 chocolate
Find the unit rate.
4. $2.50 for 5 ounces
5. 15 degrees in 2 hours
6. 183 miles in 3 hours
What is the answer to all these questions?
1. 4 to 7
2. 3 even : 1 odd
3. 6 vanilla to 8 chocolate
please help asap, i need to get this done
Answer:
25.5 = c
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
17^2 + 19 ^2 = c^2
289+361 = c^2
650 = c^2
Take the square root of each side
sqrt(650) = sqrt(c^2)
25.49509757=c
To the nearest tenth
25.5 = c
Answer:
C = 25.5
Step-by-step explanation:
17² + 19² = x²
289 + 361 = x
289 + 361 = 650
√650 = 25.495097567963924150141120545114
25.495097567963924150141120545114 ≅ 25.5
Given AE and BD bisect each other at point c, which congruence theorem would you use to prove triangle ABC =~ triangle EDC ?
need he,p pls and thank u
which is the most appropriate
instrument used to measure capacity
Answer:
Spirometer measurement is the most appropriate instrument to use
Step-by-step explanation:
Louis buys a motor bike of price of R17500 he pays a deposit and will repay the balance in equal instalments over a period of 3 years simple interest is calculated on the balance at rate of 9.6 p.a .
calculate the balance due after he paid the deposit
calculate the balance payble on the balance
calculate monthly instalments
Answer:
b
Step-by-step explanation:
Find the quotient when (4n6 + 8n5 + 10n4 + 8n2) is divided by 2n.
Answer:=2n5+4n4+5n3+4n
Step-by-step explanation:
Answer:
C. [tex]2n^{5} + 4n^{4} + 5n^{3} + 4n[/tex]
Step-by-step explanation:
Factor the numerator and denominator and cancel the common factors.
Hannah ordered a pizza. it was divided in 8 equal slices. Hannah ate two slices right away and another slice before bed. what friction of the pizza did she eat?
Answer:
3/8
Step-by-step explanation:
8 slices
she ate 2 and then another
3 in total
Pleaseeee helpppp meeee nowwwww
Answer:
The rate of change would be $3.50 per gallon.
Step-by-step explanation:
In the graph depicted in the picture, when the number of gallons increases by 2, the price increases by $7. Since the graph maintains a constant rate of change, that means the rate of change would be [tex]\frac{7}{2}[/tex] or $3.50 per gallon.
Six friends are sharing the cost for a pizza
party p equally. Each person paid $15.25.
Find the total cost of the pizza party.
Answer:
4
Step-by-step explanation:
Select all equations that are true!
A and C are the right equation
please help me , please
Answer:
2/3
Step-by-step explanation:
What is the volume of this rectangular prism 5/2 cm 4 cm 1/2
Answer:
7cm³
Step-by-step explanation:
volume=mass
density
Which of the following is a solution of y - x>-3?
O (62)
O (2,6)
O (2,-1)
Answer:
the ordered pair (2, 6) is the answer
Step-by-step explanation:
y - x > -3
you can use substitution for each option:
2 - 6 > -3 False, -4 is not > -3
6 - 2 > -3 True, 4 is not > -3
-1 - 2 > -3 False, -3 is not > -3
pls helppp
1/2•7•24=
Answer:
84
Step-by-step explanation:
0.5 · 7 · 24
0.5 · 168
84
Answer:
84
Step-by-step explanation:
Step 1: Convert number to a fraction
[tex]24=\frac{24}{1}[/tex]
[tex]\frac{1}{2}\times \frac{24}{1}\times \:7[/tex]
Step 2: Factor the number
[tex]\:24=2\times \:12[/tex]
[tex]\frac{2\times \:12}{2}\times \:7[/tex]
Step 3: Cancel the common factor
[tex]2[/tex]
Step 4: Multiply the remaining numbers
[tex]12\times \:7\\\\= 84[/tex]
Therefore, [tex]\frac{1}{2}\times 7\times 24\:=\:84[/tex]
convert 374F in base 16 to octal
33517
Step-by-step explanation:Method 1
Given:
374F in base 16
To convert to octal;
(i) convert each digit in the number to binary
3 = 0011
7 = 0111
4 = 0100
F = 1111
(ii) join the bits together starting from the first i.e
374F = 0011 0111 0100 1111
(iii) starting from the right to left, group the bits together, each group having 3 bits
374F = 0 011 011 101 001 111
(iv) the group with number of bits less than 3 should be padded with zero.
374F = 000 011 011 101 001 111
(v) convert each of the groups in (iv) above to decimal as follows:
000 = 0
011 = 3
011 = 3
101 = 5
001 = 1
111 = 7
(vi) combine the result above to get;
033517
The first zero can be removed
33517
Therefore, the number in octal is 33517₈
Method 2
Given:
374F in base 16
To convert to octal;
i) convert the number to decimal as follows;
a. Multiply each digit by 16 raised to the power of one less than their position starting from the leftmost digit.
=> 3 is at position 4, so we have
3 x 16⁴ ⁻ ¹ = 3 x 16³
=> 7 is at position 3, so we have
7 x 16³ ⁻ ¹ = 7 x 16²
=> 4 is at position 2, so we have
4 x 16² ⁻ ¹ = 4 x 16¹
=> F is at position 1, so we have
F x 16¹ ⁻ ¹ = F x 16⁰
b. Add each of the terms found in (a) together.
(3 x 16³) + (7 x 16²) + (4 x 16¹) + (F x 16⁰)
c. Remember that F = 15 in decimal. Therefore, substitute F = 15 into the result in (b)
(3 x 16³) + (7 x 16²) + (4 x 16¹) + (15 x 16⁰)
d. Solve the result in (c)
(3 x 4096) + (7 x 256) + (4 x 16) + (15 x 1)
12288 + 1792 +64 + 15
14159
Therefore,
374F in decimal is 14159
(b) Now convert the decimal to octal by dividing by 8 and noting the remainder.
8 | 14159
8 | 1769 r 7
8 | 221 r 1
8 | 27 r 5
8 | 3 r 3
| 0 r 3
Taking the remainders from bottom up gives
33517₈
Therefore, the number in octal is 33517₈