Answer:
the answer is 40%
Step-by-step explanation:
240 – 144 = 96
96÷240=0.4=40%
Hope this helps:)....if not then sorry for wasting your time and may God bless you:)
Do basketball players hit a higher proportion of free throws when they're playing at home or when they're playing away this best is assessed by using
Answer:
home
Step-by-step explanation:
I'm not sure I'm just guessing honestly
Find the distance between FD
F=(4,6) D=(0,-1)
Answer:
Final answer -
[tex]d(FD) = \sqrt{65 } \: units[/tex]
hope helpful :D
Joan has made four mistakes in her diagram. write down any three of them.
Answer:
dude
Step-by-step explanation:
how are you supposed to know but you are smart hopefully you will answer
A T.V. se was bought for Rs. 13950, when 10% discount is given. , calculate the marked price of the T.V.
Answer:
15500
Step-by-step explanation:
Solution
here
price of tv after discount: 13950
discount : 10%
now,
price of tv without discount= 13950÷90×100price of tv without discount= Rs15500Farah has been saving money for years. Pearl's money is 3 times as much as
3
5
of Farah's money. They have $672 altogether. How much does Farah have now?
Answer:
$168
Step-by-step explanation:
x + 3x = 672
4x = 672
x = 672 / 4
x = 168
Farah has $168
A wall is 3600 sq ft.
A gallon of paint covers 600 sq ft.
Complete the conversion factor: 1 gallon / ? sq ft
Answer:
1 gallon / 600 sq ft
Step-by-step explanation:
As we can see, we are given that 600 sq ft uses one gallon to cover, therefore one gallon covers 600 sq ft (just vice versa of what's given).
This recipe makes three portions of soup.
Navina follows this recipe but only wants to make enough for one portion of soup.
How much of each ingredient does she need?
Recipe: Serves 3
180 g onions
120 g carrots
3 tablespoons of oil
600 g tomatoes
1.2 litres vegetable stock
Answer:
Step-by-step explanation:
To get one portion of soup, each ingredient should be divided by 3
Quantity of onion required= 180 ÷ 3 = 60 g
Quantity of carrots required = 120 ÷ 3 = 60 g
Oil = 3 ÷ 3 = 1 table spoon
Quantity of tomatoes required = 600 ÷ 3 = 300 g
Vegetable stock = 1.2 ÷ 3 = 0.4 litres
7) A rectangle has a perimeter of 12y2 – 2y + 18 and has a width of 4y? – y +6. What is the
length of the rectangle?
Answer:
4
Step-by-step explanation:
(12y2-2y+18)/(4y2-y+6)=3-2+3=4
Use synthetic division to divide:
(2x^4+5x^3-3x^2-x+1) / (x+2)
Answer:
[tex]2x^3 +x^2 -5x+9 -\frac{17}{x+2}[/tex]
Step-by-step explanation:
See picture for explanation
please help me solve for m<C and m<D
Answer:
Step-by-step explanation:
Use law of cosine to calculate the other side.
c² = a² + b² -2ab Cos C
Here, c is the length of the side which is opposite side to ∠E
a = 29 ; b = 25 and C = 109
c² = 29² + 25² - 2*29*25*Cos 107
= 841 + 625 - 1450* (-0.2923)
= 1466 + 423.835
= 1889.835
c =√1889.835
c = 43.47 ≈ 43
No, find ∠D using again use law of cosine
[tex]Cos \ \beta = \dfra{a^{2}+c^{2}}-b^{2}{2ac}\\\\\\ = \dfrac{29^{2}+43^{2}-25^{2}}{2*29*43}\\\\\\Cos \ \beta =\dfrac{841+1849-625}{2494}=\dfrac{2065}{2494}\\\\Cos \ \beta = 0.828\\\\\beta =Cos^{-1} \ 0.828\\\\[/tex]
β = ∠C = 34°
α = 180 - (34 +107)
α = ∠D = 39
Other angles are
∠C = 34° and ∠D°39
Find the equation of the line through the points (0, –3) and (4, 5)
Answer:
y=2x-3
Step-by-step explanation:
Hi there!
We are given the points (0, –3) and (4, 5)
We want to find the equation of the line between these points
There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
To write the equation of the line in this way, we need to first find the slope of the line
The slope can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We already have 2 points, but let's label their values to avoid confusion and mistakes when calculating.
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{5--3}{4-0}[/tex]
Simplify
m=[tex]\frac{5+3}{4-0}[/tex]
m=[tex]\frac{8}{4}[/tex]
Divide
m=2
We found the slope of the line.
Here is the equation of the line so far:
y=2x+b
Now let's find b
As stated before, b is the y intercept of the line, which is the point where the line passes through the y axis; the value of x at the y intercept is 0
One of the points we were given (0, -3) is actually the y intercept of the line!
The value of b is the value of y at the y intercept; in this case, b is equal to -3
Now substitute -3 as b in the equation.
y=2x-3
Hope this helps!
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Gabrielle’s age is two time Mikhaïl’s age. The sum of their ages is 27. What is Mikhail’s age?
Mikhail is 9
Step-by-step explanation:
Divide 27 by 3 because G is 2 times than Mik. So G=2 Mik=1. and 27 divided 3 is 9
three subtracted from 5 x a number is -128. what is that number
A) translate the statement above into an equation that you can solve to answer this question.
do not solve it yet use x as your variable.
the equation is :
B)solve your equation [A} for x
answer for x
5-3x=-128
LHS = RHS
(5 - 3) x A = -128
( 2 ) x A = -128
2A / 2 = -128 / 2
A = -64
HELP PLEASEEEEEEEEEEE
Answer:
the numbee from left to right :
-1.5
-0.25
0.75
1.25
2.25
Answer:
-3/2, -15%, 0.80, 143%, 2 1/4
Step-by-step explanation:
Convert the fractions into decimals:
2 1/4 = 2.25
-15% = -0.15
143% = 1.43
-3/2 = -1.5
0.80 = 0.80
The order from least to greatest is -3/2, -15%, 0.80, 143%, 2 1/4
Hope this helps :)
41. Henry stands on a platform and shoots a rocket in his 10th
grade science class. He found that the motion of the rocket can be
described by the equation y = 60 + 28x – x2, where y is the
vertical distance and x is the horizontal distance traveled. If this
trajectory equation were to be graphed, find the x-intercepts of the
equation. (Fun fact: The positive x-intercept is how far away from
the platform the rocket hits the ground!)
The x-intercepts of the quadratic equation are given by x = -2 and x = 30.
What are the x-intercepts of a quadratic equation?A quadratic equation is modeled by:
y = ax² + bx + c.
The x-intercepts are the values of x when y = 0, given by:
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex]
[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]
In which:
[tex]\Delta = b^2 - 4ac[/tex]
In this problem, the equation is:
y = 60 + 28x - x².
Hence the coefficients are a = -1, b = 28, c = 60.
Then:
[tex]\Delta = 28^2 - 4(-1)(60) = 1024[/tex]
[tex]x_1 = \frac{-28 + \sqrt{1028}}{-2} = -2[/tex]
[tex]x_2 = \frac{-28 - \sqrt{1028}}{-2} = 30[/tex]
The x-intercepts of the quadratic equation are given by x = -2 and x = 30.
More can be learned about quadratic equations at https://brainly.com/question/24737967
For which values of c does the quadratic equation x^2−2x+c=0 have two roots of one sign?
The equation x^2−2x+c=0 is an illustration of a quadratic equation
The value of c is 1
How to determine the value of c?The equation is given as:
x^2 -2x + c = 0
A quadratic equation is represented as:
ax^2 + bx+ c = 0
When the quadratic equation has two roots of one sign, the following equation is true
b^2 =4ac
So, we have:
(-2)^2 =4 * 1 * c
Evaluate the exponent and the product
4 = 4c
Divide both sides by 4
c= 1
Hence, the value of c is 1
Read more about quadratic equations at:
https://brainly.com/question/1214333
The answer to this problem is:
0<c<1
The circumference of the base of a cone is 24 inches. The slant height of the cone is 20 inches.
What is the surface area of the cone? Express the answer in terms of .
240 square inches
384 square inches
480 square inches
624 square inches
The surface area of a cone with circumference base of 24π inches and slant height of 20 inches is 384π inches² in terms of π.
Surface area of a conesurface area = πr(r + l)
where
r = radiusl = slant heightTherefore,
l = 20 inches
24π = 2πr
r = 12
Therefore,
surface area = π(12)(12 + 20)
surface area = 12π(12 + 20)
surface area = 12π × 32
surface area = 384π inches²
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Answer:
B) 384 π square inches
Step-by-step explanation:
E2020
Consider the diagram.
Line l is a perpendicular bisector of line segment R Q. It intersects line segment R Q at point T. Line l also contains point S. Line segment R S is 3 x + 2. Line segment S Q is 5 x minus 8.
What is QS?
2 units.
5 units.
17 units.
33 units.
Answer:
A on edge
Step-by-step explanation:
:)
A triangle is a three-edged polygon with three vertices. The length of QS is equal to 17 units.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
Given that the Line l is a perpendicular bisector of line segment RQ and bisects it at point T. Therefore, the length of the two lines is,
RT = QT
Now, in ΔRST and ΔQST,
RT ≅ QT
ST ≅ ST {Common side}
Now, since the two triangles are the right-angled triangle, therefore, the two triangles are congruent. Thus, we can write,
RS = SQ
Given that the Line segment, RS is 3x+2. Line segment SQ is 5x-8.
RS = SQ
3x + 2 = 5x - 8
2 + 8 = 5x - 3x
10 = 2x
x = 5
QS = 5x - 8
= 5(5) - 8
= 25 - 8
= 17 units
Hence, the length of QS is equal to 17 units.
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what ratio is equivilant to 4 : 5
Answer:
Any ratio where the original sides are both multiplied by the same number.
For example,
4 : 5 (your ratio)
4 x 2 : 5 x 2 (multiply both sides by a number)
8 : 10 (equivalent ration)
Determine which of the triangles below are unique. Share your reasoning.
Triangle A: All angle measure 60 degrees
Triangle B: All sides have length 6 cm.
Triangle C: Two sides have length 6 cm, and the included angle measures 55
degrees
Triangle D: Base has length of 6 cm, and the base angles are 50 degrees.
Answer:
Triangle A and Triangle BStep-by-step explanation:
I think this is the answer because Triangle A, has a unique that all sides have a measure of 60 degrees. And I also think that Triangle B is unique because It's an Equilateral triangle, which means that all sides have the same length.
So hence, I think the answer is A and B
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Always keep more than 2 smiles! You have to share them with people who don't have one too, right??
Thanks!
:D
Andre drinks 15 ounces of water, which is 3/5 of the bottle. How much does the bottle hold? Use x for the number of ounces the bottle holds.
Step-by-step explanation:
15 = 3/5 x = 3x/5
75 = 3x
x = 25 ounces
The Length Of A Room is two time its breadth and breadth is two time its height If The volume of room is 512m2 what is the cost of plastering its wall at rs 5.50 per m2
Answer:
Rs 2464
Step-by-step explanation:
Given:
The length of a room is 2 times its breadth and breadth is 2 times its height. The volume of the room is 512 cubic metre.To find:
The cost of plastering it's wall at Rs 5.50 per square metre.Solution : A/C to given data;
[tex]Length = 2 * Breadth\\L = 2 * B[/tex]---> (1) and [tex]Breadth = 2 * Height\\B = 2 * H[/tex]----> (2)
A/C to given data let, structure of room is cuboidal.
Now, we have to find out the height of the room, so we use formula of volume of the cuboid.
[tex]Volume of the room = L * B * H[from given data, and eq. {1} and eq. {2}][/tex]
[tex]512 = 2B * 2H * H[/tex]
[tex]512 = 2 * 2H * 2H * H[/tex]
[tex]512 = 4H * 2H^{2}[/tex]
[tex]512 = 8H^{3}[/tex]
[tex]H^{3} = \frac{512}{8}[/tex]
[tex]H^{3} = 64[/tex]
[tex]H = \sqrt[3]{64}[/tex]
[tex]H = 4 m[/tex]
[tex]Now, put\\ value\\ of \\H \\in \\eq. {2}[/tex]
[tex]B = 2 * H[/tex]
[tex]B = 2 * 4[/tex]
[tex]B = 8 m[/tex]
[tex]\\[/tex]Now, put value of B in eq. {1}
[tex]L = 2 * B[/tex]
[tex]L = 2 * 8[/tex]
[tex]L = 16 m[/tex]
Now, we have to find out area of the room, so we use formula of total surface area of cuboid.
[tex]Area of the room = 2*L*B + 2*L*H + 2*H*B[/tex]
[tex]Area of the room = 2 * 16 * 8 + 2 * 16 * 4 + 2 * 4 * 8[/tex]
[tex]Area of the room = 32 * 8 + 32 * 4 + 8 * 8[/tex]
[tex]Area of the room = 256 + 128 + 64[/tex]
[tex]Area of the room = 384 + 64[/tex]
[tex]Area of the room = 448 m^{2}[/tex]
Now, to find out room wall plastering cost
[tex]Room wall plastering cost = Area of the room * cost of plastering per ^{2}[/tex]
[tex]Room wall plastering cost = 448 * 5.50[/tex]
[tex]Room wall plastering cost = Rs 2464[/tex]
[tex]ence, the room wall plastering cost is Rs 2464.[/tex]
In the diagram, mZXYZ (Exterior Angle Y)=115º and
mZWXY (Angle X) = 45°.
What is m
Answer: 70 degrees
Step-by-step explanation:
Consider the function f(x)=8x3−2. If f(g(x))=x and g(f(x))=x, find g(x)
I can give you a hint. So when we do the composition of functions, if we plug 2 functions into each other and get x by itself, that means the functions are inversely related.
For this problem, simply find the inverse of f(x).
If you are stuck, I could provide you with a solution below...
f(x) = 8x³ - 2
y = 8x³ - 2
y + 2 = 8x³
(y + 2)/8 = x³
cube root((y + 2)/8) = x
g(x) = cube root((x + 2)/8)
The value of function g(x) after solving will be ∛(x + 2) / 2.
What is Function?
A relation between a set of inputs having one output each is called a function.
Given that;
The value of function,
f(x) = 8x³ − 2
And, f(g(x)) = x and g(f(x)) = x
Now,
Since, f(g(x)) = x
And, f(x) = 8x³ − 2
The substitute x = g (x) in above equation we get;
f (g(x)) = 8 (g(x))³ - 2
x = 8 (g(x))³ - 2
Add 2 both side;
x + 2 = 8 (g(x))³
Divide by 8;
(x + 2)/8 = (g(x))³
Take cube root both side;
∛(x + 2)/8 = g(x)
g(x) = ∛(x + 2) / 2
So, The value of function g(x) after solving will be ∛(x + 2) / 2.
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Solve the equation b(b+12) = 0. Check your solutions.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here's the solution ~
[tex]\qquad \sf \dashrightarrow \:b(b + 12) = 0[/tex]
Here, we have two cases :
Case 1[tex]\qquad \sf \dashrightarrow \:b = 0[/tex]
Case 2[tex]\qquad \sf \dashrightarrow \:b + 12 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \:b = - 12[/tex]
Hence, 0 and -12 are the only possible solutions for given equation.
A square is inscribed in a circle. How much larger is the area of the circle than the area of the square?
ratio form
Answer:
π/2 : 1 or π : 2
Step-by-step explanation:
In the attachments I have a picture of a square inscribed in a circle.
Call the side of the square a. Therefore, the area of the square is a^2.
We can also see that the diagonal of the square is the circle's diameter.
Using the Pythagorean Theorem we find that the diagonal/diameter of the circle is a√2. Thus the radius is that divided by 2, which is (a√2)/2.
We also know that the formula for a circle's area is πr^2, so the area of the circle is π((a√2)/2)^2 --> π(a^2)(2)/4 --> π(a^2)/2.
Hence the ratio of the circle to the square is π(a^2)/2 to a^2 which is π/2 to 1 or π to 2.
All exponential functions can be written in many forms. Write the function
f(t) = 2800(0.95)' in the form f(t) = abro. Round all coefficients to four
decimal places.
[tex]2800(0.95)^t~~ = ~~2800(b)^{\frac{t}{10}}\implies \cfrac{2800(0.95)^t}{2800}=b^{\frac{t}{10}}\implies 0.95^t=b^{\frac{t}{10}} \\\\\\ (0.95)^{\frac{10t}{10}}=b^{\frac{t}{10}}\implies (0.95^{10})^{\frac{t}{10}}=b^{\frac{t}{10}}\implies (0.5987)^{\frac{t}{10}}\approx b^{\frac{t}{10}}\implies 0.5987 \approx b \\\\[-0.35em] ~\dotfill\\\\ ~\hfill f(t)\approx 2800(0.5987)^{\frac{t}{10}}~\hfill[/tex]
juan rolls a fair number cube twice what is the probability that he will roll an odd number on the first roll and an even number in second
Answer:
1/4
Step-by-step explanation:
[tex]\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}[/tex]
Assuming the number cube has faces number 1 through 6, the probability of rolling any of the number is 1/6.
Therefore,
P(odd number) = P(1) or P(3) or P(5)
= 1/6 + 1/6 + 1/6
= 3/6
= 1/2
Similarly,
P(even number) = P(2) or P(4) or P(6)
= 1/6 + 1/6 + 1/6
= 3/6
= 1/2
⇒ P(odd) AND P(even) = 1/2 × 1/2 = 1/4
What is the length of BC?
24
36
48
30
Answer:
48/24
Step-by-step explanation:
You didn't say which one is line BC so I'm going to give you the answer 48 for the entire line but if you are asking for the middle point to end point then it is 24.
.............help me
Answer:
A Translation 2 units left and 1 unit down
Step-by-step explanation: