Answer:
T=5
Step-by-step explanation:
5 -3 = 10/t
2 =10/t
2t = 10
T = 5
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Solve for the variable 5=10/t+3.
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
When solving an equation, we need to make sure that all variables are on the left-hand side, and all numbers are on the right-hand side.
Since we have numbers on both sides, we need to move all numbers to the right:-
[tex]\bold{5=\dfrac{10}{t} +3}[/tex]
[tex]\bigstar[/tex] Subtract 5 on both sides:-
[tex]\bold{0=\dfrac{10}{t} +3-5}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\bold{0=\dfrac{10}{t} -2}[/tex]
[tex]\bigstar[/tex] Now, subtract 10/t on both sides:-
[tex]\bold{-\dfrac{10}{t} =-2}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\bold{\dfrac{10}{t} =2}[/tex]
[tex]\bigstar[/tex] Multiply by t on both sides:-
[tex]\bold{10=2t}[/tex]
[tex]\bold{2t=10}[/tex]
[tex]\bigstar[/tex] Divide by 2 on both sides:-
[tex]\bold{t=5}[/tex]
Good luck with your studies.[tex]\rule{300}{2}[/tex]
Given: ∠ABC and ∠CBD are complementary angles and m∠ABC=35°
Prove:m∠CBD=55°
Answer:
we know that sum of two complementary angles always equals to 90°
now ∠ABC and ∠CBD are complementary which means ∠ABC + ∠CBD = 90
∠ABC = 35° given
so ∠CBD = 90° - ∠ABC = 90° - 35° = 55°
therefore hence proved ∠CBD = 55°
7. Use the compound-interest formula to find the account balance A with the given conditions, where P=principal, r=interest rate, n=number of compounding periods per year, t=time, in years, and A=account balance.
Answer:
$173,954.01
Step-by-step explanation:
Finding compound interest :
A = (150,000)(1 + 0.025)⁶A = (150,000)(1.025)⁶A = (150,000)(1.15969342)A = $173,954.01Find the value of X round to the nearest degree
Answer:
50
Step-by-step explanation:
to find the value of x use "sinerule"
sinx/13= Sin90/17
sinx = sin90×13/17
sinx= 14/17
sinx= 0.764705882
X= SIN^-1(0.764705882)
X = 49.888
X= 50
Tried to do this one on my own but still dont get how to do it.
Answer:
238
Step-by-step explanation:
First, you must find the ratio between the one measurement of the larger octagon and the smaller octagon. Just divide 28 by 4 to get 7. This is what you have to multiply the perimeter by to get the larger octagon's perimeter. 34 times 7 equals 238. There are multiple ways to do this problem but this way is the simplest. If this helped you, please click the "Thanks" button!
Find the exact value of the given angle. Simply all radicals and rationalize all denominators.
Answer:
4√33/33
Step-by-step explanation:
Solution,
Here,
sinθ=4/7
p/h=4/7
b=?
Now using Pythagoras theorem,
[tex]\hookrightarrow h^{2} =p^{2} +b^{2} \\\\\hookrightarrow (7)^{2} =(4)^{2} +b^{2}\\\\\hookrightarrow 49-16=b^{2} \\\\\hookrightarrow b=\sqrt{33}[/tex]
Again,
tanθ=p/b
[tex]tan\theta=\frac{4}{\sqrt{33} } \\\\tan\theta=\frac{4}{\sqrt{33} } \times \frac{\sqrt{33} }{\sqrt{33} } \\\\tan\theta=\frac{4\sqrt{33} }{33}[/tex]
According to the question ,
Sin θ = 4/7
We know that , Sin θ = Perpendicular/Hypotenuse
So , by Pythagoras theorem
Perpendicular = 4 unitsHypotenuse = 7 units Base = let it be xHypotenuse² = Perpendicular ² + Base ²
7² = 4² + x²
49-16 = x²
√33 = x
5.7 = x
So , the base is 5.7 units (approx)
Tan θ = Perpendicular/base
Tan θ = 4/5.7
A 60 foot by 20 foot garden is enclosed by a fence. To increase the area of the garden, while still using the same fence, its shape is changed to a square. By how many square feet does this enlarge the garden
The increase in square feet when the garden is enlarged is 400 square feet.
What is the increase in square feet?The first step is to determine the perimeter of the fence:
Perimeter = 2( length + width)
2 (60 + 20)
= 160 feet
When the shape of the garden is changed to a square, the perimeter of the square and the rectangle has to be the same.
Length of side of the square = 160 / 4 = 40 feet
Area of the square = 40 x 40 = 1600 square feet
Area of the garden = 60 x 20 - 1200 square feet
Difference = 1600 - 1200 = 400 square feet
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Zane took Jessica to dinner. The check was $31.23. They left a tip of 25% the total check. How much was the total cost of the dinner (including tip)?
HELP ILL GIVE BRAINLIEST
Answer:
B) 8/9
Step-by-step explanation:
0.3 + 0.5 = 0.8Change to repeating decimal (0.888888...)The decimal converts to 8/9Answer:
B
Step-by-step explanation:
0.3333 + 0.5555 = 0.8888
as a fraction it's 8/9
It has rained two out of the past nine days.
Based on this data, what is the probability
that it will not rain for the next four days?
Answer:
There is only a 25% of the probability
5
Find the missing angle.
94
23°
?
Answer:
degrees
Answer:
63 degrees as 94 +23 =117
180-117=63
A plane convex lens is made of glass ( n = 1. 5) with one flat surface and the other having a radius of 20 cm. What is the focal length (in cm) of the lens?
The focal length of the lens is 40cm.
What is the focal length?The distance between the center of a lens or curved mirror and its focus.
A plane convex lens is made of glass ( n = 1. 5) with one flat surface and the other having a radius of 20 cm.
The focal length of the lens is given by the following formula;
[tex]\rm \dfrac{1}{f}=(n-1) \left ( \dfrac{1}{r_1}-\dfrac{1}{r_2} \right)\\\\Where; \ r_1 =\infty , \ r_2=20, \ and \ n = 1.5[/tex]
Substitute all the values in the formula;
[tex]\rm \dfrac{1}{f}=(n-1) \left ( \dfrac{1}{r_1}-\dfrac{1}{r_2} \right)\\\\\rm \dfrac{1}{f}=(1.5-1) \left ( \dfrac{1}{\infty}-\dfrac{1}{20} \right)\\\\ \rm \dfrac{1}{f}=(0.5) \left ( 0-\dfrac{1}{20} \right)\\\\ \dfrac{1}{f} = \dfrac{-0.5}{20}\\\\\dfrac{1}{f}=-0.025\\\\f = \dfrac{-1}{0.025}\\\\f=-40[/tex]
Hence, the focal length of the lens is 40cm.
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For a science experiment, maria threw an egg 88.2 meters in 3 seconds. what was the average rate of speed of the egg? a. 88.2 m/sec. b. 44.1 m/sec. c. 29.4 m/sec. d. 9.8 m/sec.
Answer: its not A its b c or d sorry i could not help more
Answer:
The answer is C. 29.4 m/sec.
Step-by-step explanation:
I got it right ^w^
HELP PLSSSSS!!!! ASAP!!! Insert operation signs (+,-,*,/) and parentheses as needed to make the equation true.
4 3/4 _ 7 1/2 _ 1 1/6 _ 1 1/3 = 1
Or in other words:
4.75 _ 7.5 _ 1.16666... _ 1.33333... = 1
TY PLSS HURRY!!!!
Answer:
This cannot be explained properly by me, but the answer is 4 3/4*1 1/3 divided by (7 1/2-1 1/6). I just did a lot of trial and error
Step-by-step explanation:
The mathematical operations used [tex](4.75/7.50) * 1.17 * 1.34[/tex].
What are mathematical operations?
An operation exists as a mathematical action. Addition, subtraction, multiplication, division, and calculating the root exist all instances of a mathematical operation.
Given: 4 3/4 _ 7 1/2 _ 1 1/6 _ 1 1/3 = 1 or
4 3/4 _ 7 1/2 _ 1 1/6 _ 1 1/3 = 1
Convert mixed fraction into a proper fraction we have
[tex](19/4) * (15/2) * (7/6) * (4/3) = 1[/tex]
Now convert the proper form of the fraction into a decimal
[tex]$4.75 * 7.50 * 1.16 * 1.34[/tex]
Inserting operation signs, then we get
[tex]= (4.75/7.50) * 1.17 * 1.34[/tex]
= 0.99294
= 1 (approximately)
Therefore, the correct answer is [tex](4.75/7.50) * 1.17 * 1.34[/tex].
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George wants to buy a new game the original price is $54.99 but it is on sale for 25% off what is the sale price of the game?
Answer:
41.24
Step-by-step explanation:
54.99 * .25 = 13.7475
54.99 - 13.7475 =
41.2425
Answer:
$41.24
Step-by-step explanation:
54.99 x 0.25 = 13.7475
54.99 - 13.7475 = 41.2425
41.2425 ≈ 41.24
hope this helps
have a good day
[3 - (6 ÷ 3)3] x 11 + 11?
Answer:
The answer is -11(3x-1)
Step-by-step explanation:
Thats what the calculator said
Hope this helps!!!
Please help with this limit, I have tried everything but this won't work.
You're lucky that I was able to do this :)
The answer is [tex]\huge\boxed{\frac{1}{4}} [/tex]
Use the product rule to simplify a ^7 x a ^11
Answer:
The answer to the question a∧18
Answer:
[tex]a^{18}[/tex]
Step-by-step explanation:
Use the product rule to simplify a ^7 x a ^11
[tex]a^{7}[/tex] × [tex]a^{11}[/tex] =
(add the exponents)
7 + 11 = 18
[tex]a^{18}[/tex]
Write an algebraic expression for each of the statements below.
Answer:
i) 3x + 7
ii) x/3 = 9
iii) y = 2x +4
iv) y = 6x
What is the measure of
Answer:
can i have life orientation project memo for term 2
50 POINTS AND BRAINLIEST!!!!!!!
This table represents a proportional relationship between x and y.
x 1.3 1.6 1.9 2.2
y 1.82 2.24 2.66 3.08
What is the constant of proportionality?
Enter your answer as a decimal in the box.
Reason:
Pick any column and divide y over x
column one: y/x = (1.82)/(1.3) = 1.4column two: y/x = (2.24)/(1.6) = 1.4column three: y/x = (2.66)/(1.9) = 1.4column four: y/x = (3.08)/(2.2) = 1.4You only need to pick one column when it comes to showing your work.
The constant of proportionality is 1.4
This leads to the equation being y = 1.4x
The area of a
triangle is 21 in
The base is 7cm.
What is the
height?
Answer:
7 inches
Step-by-step explanation:
1. Covert 7cm into inches: approximatly 3 inches.
2. 21/3: 7
3. 7 inches
It's seventh grade social studies the question is written "how did the issue of slavery cause the Civil War?"
Answer:
The civil war started because the south wanted to keep the country enslaved while the north wanted a free slave country. This divison between the north and the south created the civil war
Answer:
It divided the nation.
Step-by-step explanation:
North wanted to banned slavery, while the south didn't. At that time states from the north and the south were in the union. The south succeeded from the union, because of some slavery issues which lead to the Civil War.
Calculus - need work shown
Easy evaluation!
[tex]5( ln( |4x - 15| ) + c[/tex]
Step-by-step explanation:
Feel free to ask if you're left with any doubts.
Answer:
[tex]\large \text{$ 5 \ln|4x-15|+C $}[/tex]
Step-by-step explanation:
[tex]\large \displaystyle\begin{aligned}\textsf{let }\:u & =4x-15\\\implies \dfrac{du}{dx} & =4\\\implies dx & =\dfrac{1}{4}\: du\\\end{aligned}[/tex]
[tex]\large\displaystyle\begin{aligned}\int \dfrac{20}{4x-5}\:dx &=\int \dfrac{20}{u}\cdot \dfrac{1}{4}\:du\\\\&=\int \dfrac{20}{4u}\:du\\\\&=\int \dfrac{5}{u}\:du\\\\&=5 \ln |u| +C\\\\&=5 \ln |4x-15| + C\end{aligned}[/tex]
can anybody help me...
Answer: The 3 angles shown need to equal 180 degrees
x = 180 - 75 - 65
x = 40 degrees
Step-by-step explanation:
I had someone help out with this one...hope this helps u out have a good rest of ur day!!!!!
3. Triangle JKL is shown below. Which of the following is not a true statement about
the angles in the triangle?
J 7X+2
A. The sum of 2J + ZK + ZL = 180°
B. The measure of ZJ is 65
L
4x + 7
C. The measure of ZK is 89
D. The measure of ZL is 43°
8x
Option A is true because the sum of angles in a triangle is 180, so we can rule that one out immediately.
We can solve for x for the other 3 options by setting up this equation:
7x+2 + 4x+7 + 8x = 180 | Simplify
19x + 9 = 180 | Subtract 9
19x = 171 | Divide by 19
x=9
Now we can substitute x into all the values:
<J = 7x+2 = 65
<L = 4x+7 = 43
<K = 8x = 72
Looking at the options again, we can see that A, B, and D are true, leaving C to be false.
PLEASE HELP I NEED THE CORRECT ANSWER AS I ONLY HAVE ONE TRY AND I NEED TO SUBMIT IT IN 10 MINUTES
Answer:
A, B, D
Step-by-step explanation:
A 6x3 =18
B 9x2=18
D 9x2=18
Y-intercept of x- 2y = -10
Please help
Answer:
y = [tex]\frac{1}{2} x\\[/tex]+5
Step-by-step explanation:
Y-intercept 5
Answer:
y- intercept = 5
Step-by-step explanation:
to find the y- intercept let x = 0 in the equation and solve for y
this relies on the fact that when the line crosses the y- axis the x- coordinate is zero, then
0 - 2y = - 10 , that is
- 2y = - 10 ( divide both sides by - 2 )
y = 5
then y- intercept = 5
Find the surface area of the pyramid. The side lengths of the base are equal.
the radius of a sphere is r=17
what is the volume
Answer:20579.53
Step-by-step explanation:round it to its hundreth or tenth based on the question or full
Which expression represents the volume of the cone that is startfraction pi over 4 endfraction times the volume of the pyramid that it fits inside? startfraction pi over 4 endfraction(2r2h) startfraction pi over 4 endfraction(4r2h) startfraction pi over 4 endfraction(startfraction r squared h over 3 endfraction) startfraction pi over 4 endfraction(startfraction 4 r squared h over 3 endfraction)
The expression of the volume of the cone that is π/4 of the volume of the pyramid, is expressed as: [tex]\mathbf{\frac{\pi}{4} (\frac{4r^2h}{3} )}[/tex].
What is the Volume of a Pyramid?Volume of a pyramid = 1/3(length)(width)(height)
Find the volume of the pyramid in the image given:
Volume of the pyramid = 1/3(2r)(2r)(h)
Volume of the pyramid = 4r²h/3
We are given that the volume of the cone is π/4 of the volume of the pyramid.
Therefore, the expression that represents the volume of the cone would be: [tex]\mathbf{\frac{\pi}{4} (\frac{4r^2h}{3} )}[/tex]
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Answer:
D:
Step-by-step explanation
