Answer:
d = 12.6 ft
Step-by-step explanation:
From inspection of the given diagram, the diameter of the circle is equal to the shortest leg of the right triangle.
Pythagoras Theorem explains the relationship between the three sides of a right triangle. The square of the hypotenuse (longest side) is equal to the sum of the squares of the legs of a right triangle.
Pythagoras Theorem
[tex]a^2+b^2=c^2[/tex]
where:
a and b are the legs of the right triangle.c is the hypotenuse (longest side) of the right triangle.Therefore, use Pythagoras Theorem to find the measure of d.
Given values:
a = db = 18 ftc = 22 ftSubstitute the given values into the formula and solve for d:
[tex]\implies d^2+18^2=22^2[/tex]
[tex]\implies d^2+324=484[/tex]
[tex]\implies d^2=484-324[/tex]
[tex]\implies d^2=160[/tex]
[tex]\implies d=\sqrt{160}[/tex]
[tex]\implies d=12.6491106...[/tex]
Therefore, d = 12.6 ft (nearest tenth).
Learn more about Pythagoras Theorem here:
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solve for X 3.5x/9= 4.2/5 Please help me
Answer:
x=2.16
Step-by-step explanation:
1. Cross multiply. 3.5x(5) = 9(4.2)
2. Simplify. 17.5x=37.8
3. Divide both sides by 17.5. x=2.16
HELLLPP ME PLEASSEEE!!!!!
Consider the two circles shown.
To show that circle P is similar to circle Q, circle P is translated t units to the right. The image is then dilated about its center by a scale factor of s.
What are the values of t and s?
Show me:
(t) What is the horizontal distance between the center of circle P to the center of circle Q?
(s) What is the scale factor dilating from circle P to circle Q?
The similar circles P and Q can be made equal by dilation and translation
The horizontal distance between the center of circles P and Q is 11.70 unitsThe scale factor of dilation from circle P to Q is 2.5The horizontal distance between their centers?From the figure, we have the centers to be:
P = (-5,4)
Q = (6,8)
The distance is then calculated using:
d = √(x2 - x1)^2 + (y2 - y1)^2
So, we have:
d = √(6 + 5)^2 + (8 - 4)^2
Evaluate the sum
d = √137
Evaluate the root
d = 11.70
Hence, the horizontal distance between the center of circles P and Q is 11.70 units
The scale factor of dilation from circle P to QWe have their radius to be:
P = 2
Q = 5
Divide the radius of Q by P to determine the scale factor (k)
k = Q/P
k = 5/2
k = 2.5
Hence, the scale factor of dilation from circle P to Q is 2.5
Read more about dilation at:
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Write a money problem you can solve using sharing, joining, or separating
Answer:
Jonny have 100 dollars and he gave his 2 friend's $20 how much does he have left?
Step-by-step explanation:
100-40=60
Jonny has 60 dollars left
Factor completely 3x^2 - 147
Answer:
3(x-7)(x+7)
Step-by-step explanation:
In order to completely factor, begin by factoring out the greatest common factor. Both terms are divisible by 3 so 3 is the greatest common factor. 3(x^2-49). In order to completely factor, recognize x^2-49 as the difference of squares. Factor that into 3(x+7)(x-7).
Answer:
3(x+7)(x-7)
Step-by-step explanation:
Hello!
We can start by taking out the coefficient of 3 by factoring it out.
Factor:
The process of removing a factor or coefficient by dividing it out from the expression.
Factor the expression:
Remove the coefficient of 3
3x² - 1473(x² - 49)Factor using the product rule: a² - b² = (a+b)(a-b)
3(x² - 49) = 3(x + 7)(x-7)There's your factored expression! 3(x+7)(x-7)
You are mixing two kinds of candy to make 10 pounds of a mixture worth $5.50 per pound. One kind is $6 per pound and the other is $4 per pound. How many pounds of each should you use? Show all your work.
Answer:
5.60 pounds each
Step-by-step explanation:
This is the dry mixture problem.
Let x = the number of pounds of the first type of candy
Therefore, number of pounds of second type of candy = 10-x
Value of first candy + value of second candy = value of mixture
Value of any candy = cost per pound of candy * weight of candy
Thus:
4x + 6(10 - x) = 5.60(10)
4x + 60 - 6x = 56
-2x + 60 = 56
-2x = -4
x = -4/-2
x = 2
Therefore, the number of pounds of first type of candy = 2 pounds
The number of pounds of second type of candy = 10 - 2 = 8 pounds
Check
$4(2) + $6(8) =
8 + 48 = $5.60(10)
$56 = $56
what is 247*367 can you please help
Answer:
90,649
Step-by-step explanation:
Hey! So I'm going to help you through this problem in two ways! One with a calculator where you'll just get the answer, and also handwritten, just in case you aren't able to use a calculator on a future assignment or test! :)
By calculator, 247 × 367 = 90,649
I hand calculated in the image below, and with each step after multiplying the number in ones place in the bottom number (the lowest number) by each of the top numbers (the biggest number), I add an extra zero before adding my multiplication for each place!
So! With 2 ways to do it depending on your class or preference, your answer is 90,649 :)
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Answer:
90,649
Step-by-step explanation:
hope this helps!!!!!
f(x) = x^2-3
What is the average rate of change on the interval [-5, 2] ?
Answer:
[tex](-3)[/tex].
Step-by-step explanation:
Over this interval, the change in the value of this function is:
[tex]f(-5) - f(2) = 22 - 1 = 21[/tex].
The corresponding change in the value of [tex]x[/tex]:
[tex](-5) - 2 = -7[/tex].
The average rate of change of function [tex]f[/tex] over this interval is equal to the change in the function value divided by the corresponding change in [tex]x[/tex]:
[tex]\begin{aligned}& (\text{average rate of change}) \\ =\; & \frac{(\text{change in function value})}{(\text{change in $x$})} \\ =\; & \frac{f(-5) - f(2)}{(-5) - 2} \\ =\; & \frac{22 - 1}{-7} \\ =\; & \frac{21}{-7} \\ =\; & -3\end{aligned}[/tex].
Thus, the average rate of change of [tex]f(x) = x^{2} - 3[/tex] over the interval [tex][-5,\, 2][/tex] would be [tex](-3)[/tex].
How do I solve for y?
Answer:
Step-by-step explanation:
The angle containing y and 63 are vertically opposite. They are equal.
y + 23 = 63 Subtract 23 from both sides
y +23-23 = 63 - 23
Answer y = 40
Write an algebraic expression for the following: 17 more than a number.
[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
Let the number be x
Then,the algebraic expression formed is
[tex] \large \purple{ \boxed { \rm{x + 17}}}[/tex]
It states that you need to write it as 17 more than x This means 17 added on to x .[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
Answer:
x+17
Explanation:
Adding more characters. 'A number is x variable, add 17.. x+17
Determine whether AB¯¯¯¯¯¯¯¯
A
B
¯
is a diameter of the circle. Explain your reasoning.
Answer: D
Step-by-step explanation:
The shared side and sides AC and AD are congruent, as well as the included angles, so the triangles are congruent. This means that by CPCTC, segments BC and BD are congruent, and thus AB bisects CD. Therefore, AB is a diameter.
(3/5)^2 + 4 x 3 - 2
Please help :)
Answer:
[tex]10 \frac{9}{25} [/tex]
Step-by-step explanation:
[tex] \bigg( \frac{3}{5} \bigg)^{2} + 4 \times 3 - 2 \\ \\ = \frac{9}{25} + 12 - 2 \\ \\ = \frac{9}{25} + 10 \\ \\ = \frac{9 + 10 \times 25}{25} \\ \\ = \frac{9 + 250}{25} \\ \\ = \frac{259}{25} \\ \\ = 10 \frac{9}{25} [/tex]
SOMEONE PLSSSSSS HELP ME SOLVE THIS FAST
I WILL MARK BRAINLIEST
Answer:
D
Step-by-step explanation:
I calculated the area for 54 feet and then for 0.5 feet using the equation [tex]A=\sqrt{\frac{3}{4} }a^{2}[/tex] , where a is the size and then divided first area by second area
A rectangle has a length of (x + 4) feet and a width of (x + 7) feet. The expression
2(x+)+2(x + 7) represents the perimeter of the rectangle.
Which expression also represents the perimeter of the rectangle, in feet?
A (x + 4) + (x + 4) + (x + 7) + (x + 7) W
B (x + 4)(x + 4)(x + 7)(x + 7)
C 4x + 11
D 22x
Answer:
A
Step-by-step explanation:
No need. It’s simple.
B can’t be it because it uses multiplication.
C can’t be it because it makes no sense.
D also makes no sense.
100 POINTS
Write the integral in one variable to find the volume of the solid obtained by rotating the first‐quadrant region bounded by y = 0.5x2 and y = x about the line x = 5.
Answer:
V = π ∫₀² (y² − 8y + 6√(2y)) dy
or
V = π ∫₀² (6x − 5x² + x³) dx
Step-by-step explanation:
y₁ = 0.5x²
y₂ = x
First, find the intersections of the curves.
0.5x² = x
x² = 2x
x² − 2x = 0
x (x − 2) = 0
x = 0 or x = 2
So the points of intersection are (0, 0) and (2, 2).
When we revolve this region about the line x = 3, we get a hollow shape that looks like an upside-down funnel, or a volcano.
One option is to use washer method to find the volume, by cutting a thin horizontal slice of thickness dy, inner radius 3−x₁ = 3−√(2y), and outer radius of 3−x₂ = 3−y.
V = ∫₀² π [(3−y)² − (3−√(2y))²] dy
V = ∫₀² π (9 − 6y + y² − 9 + 6√(2y) − 2y) dy
V = π ∫₀² (y² − 8y + 6√(2y)) dy
Another option is to use shell method to find the volume, by cutting a thin vertical slice of thickness dx, radius 3−x, and height y₂−y₁ = x−0.5x².
V = ∫₀² 2π (3 − x) (x − 0.5x²) dx
V = ∫₀² 2π (3x − 1.5x² − x² + 0.5x³) dx
V = ∫₀² 2π (3x − 2.5x² + 0.5x³) dx
V = π ∫₀² (6x − 5x² + x³) dx
The second option is arguably easier to evaluate, but either one will get you the same answer (V = 8π/3).
In a basketball game, Shawna made 8 baskets, each worth 3 points.
Daryl made the same number of points in the game but made only baskets worth 2 points.
How many baskets did Daryl make?
A.
6 baskets
B.
9 baskets
C.
12 baskets
D.
24 baskets
Answer: Shawna made 8 baskets worth 3 which mean it's 24. if Daryl made the same shots but worth 2 it would equal 16 . 8 x 2=16
Step-by-step explanation: I can see that 16 is not an answer choice so but if they mean that 2 was taken off of 8 then 6x2=12 so 12 would be your answer. hope this helped :)
Complete the table by filling in the elapsed tine.
Help pls
Answer:
RADIUS
==================================
PROBLEM
Mary’s bicycle wheel has a circumference of 226.08 cm². What is its radius?
SOLUTION
We can solve this problem using the circumference formula in which π stands for ( 3.14 ), C stands for circumference itself and r stands for radius.
\bold{Formula \: || \: C = 2πr}Formula∣∣C=2πr
\tt{226.08 = 2(3.14) r}226.08=2(3.14)r
'Now to find the radius,Substitute 226.08 for c which is circumference in the formula.
\begin{gathered} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{C = 2πr} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{226.08 = 2(3.14)\red{r}} \\ \\ \: \: \: \: \: \: \: \: \large \tt{ \frac{226.08}{6.28} = \cancel\frac{6.28 \red{r}}{6.28} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt\green{C = 36}}\end{gathered}
C=2πr
226.08=2(3.14)r
6.28
226.08
=
6.28
6.28r
C=36
To check:
\begin{gathered} \small\begin{array}{|c|}\hline \bold{circumference }\\ \\ \tt{C = 2πr} \\ \tt{C = 2(3.14) (36\:cm) } \\ \tt{C = 2(113.04\:cm) } \\ \underline{\tt \green{C = 226.08\:cm }} \\ \hline \end{array} \end{gathered}
circumference
C=2πr
C=2(3.14)(36cm)
C=2(113.04cm)
C=226.08cm
FINAL ANSWER
If Mary's Bicycle has a circumference of 226.08 cm then the radius is 36.
\boxed{ \tt \red{r = 36}}
r=36
==================================
#CarryOnLearning
Answer:
1 = 0.56
2 = 0.43
3 = 0.55
4 = 0.49
5 = 0.70
Step-by-step explanation:
I not sure
which number is equivalent to 5√8 x 3√4
A. 15√2
B. 60√2
C. 30√3
D. 60√3
Answer:
B
Step-by-step explanation:
5×sqrt(8)×3×sqrt(4) = 15×sqrt(8)×sqrt(4) = 15×sqrt(8)×2 =
= 30×sqrt(8) = 30×sqrt(4×2) =
= 30×2×sqrt(2) = 60×sqrt(2)
can someone please help me
Answer:
1.6
Step-by-step explanation:
There are 5 points from -1 to -2 if you count by 0.2 then you get 0.6 put that with the numbers on the line and you get 1.6
4x + y = 4
2x + 6y = 24
Which action creates an equivalent system that will eliminate one variable when they are combined?
Answer:
(There's actually a few ways of solving this, but here's one)
Multiplying the second equation by 2.
EDIT: Because the question says it will eliminate a variable "when combined", implying adding the systems together. The actual correct answer is multiplying the second equation by -2.
(multiplying the second equation by -2 is the actual answer, my apologies)
Step-by-step explanation:
So it's clear that they are referring to the elimination method and not the substitution method for solving systems of equations.
In the elimination method, you subtract 2 equations in the hopes of the elimination of a variable.
If you multiply the second equation, 2x + 6y = 24, by 2, you get, 4x + 12y = 48.
This is helpful because when you subtract this from the first one, you eliminate x.
4x + y = 4
-(4x + 12y = 48)
is
-11y = -44
A jar contains 416 coins.1/4 of the coins are £1 coins.
280 of the coins are 20p coins.
The rest of the coins are 10p coins.
Work out the total value of the 416 coins.
Answer:
it's I think 250
Step-by-step explanation:
it's 250 from me...
Suppose we want to choose 6 letters, without replacement, from 10 distinct letters.
Answer:
Step-by-step explanation:
If order matters (much like forming... a 4 digit number-maybe for a safe?), you will be computing "permutations". The formula for "r" items chosen from "n" items, where order matters is Npermutations = nPr = n!/ (n-r)!
Npermutations = 10P6 = 10!/(10-6)= 10*9*8*7*6*5 = 151200
When order doesn't matter (such as in dealing a poker hand, its the cards you end up with that matter not the order in which they are dealt into your hand) you will be computing combinations. The formula for the number of combinations of "r "items from "n" choices is Ncombinations = nCr = n!/((n-r)!r!)
Ncombinations = 10C6 = 10!/((10-6)!6!) = (10*9*8*7)/(4*3*2*1) = 210
Notice how there are far fewer combinations than permutations. This makes sense because if you think about how 6 colors {red, blue, green, white, black, yellow} can be arranged, there are 6!=720 ways to arrange these 6 colors if order matters. If order doesn't matter, this set of 6 colors counts only once.
Same thing with numbers :)
Hope this helped, brainliest is always appreciated! :)
Have a nice day CX
~Mitsuna
40 Points! If AD is a diameter and m∠C = 112°, what is the measure of ∠A?
Both are supplementary
<A+<C=180112+<A=180<A=180-112<A=68ABDE is a rectangle on coordinate axes, the sides of the rectangle are parallel to the axes,
Point C is the centre of the rectangle
What are the coordinates of B and D
The coordinates of B and D are the location of the vertices B and D in the rectangle
The coordinates of B and D are (55, 30) and (55, 14)
How to determine the coordinates of B and D?From the figure of the rectangle, we have:
A = (25,30)
C = (40, 22)
Point B has the same y-coordinate as point A
So, we have:
B = (x, 30)
The x-coordinate is then calculated as:
Bx = 2Cx - Ax
This gives
Bx = 2*40 - 25
Bx = 55
So, the coordinates of B are:
B = (55, 30)
Point D has the same x-coordinate as point B
So, we have:
D = (55, y)
The y-coordinate is then calculated as:
Dy = Cy - (By - Cy)
This gives
Dy = 22 - (30 - 22)
Dy = 14
So, the coordinates of B are:
D = (55, 14)
Hence, the coordinates of B and D are (55, 30) and (55, 14)
Read more about rectangles at:
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design an instructional activity that could help learner's recognise the decimal fractions can be applied across environmental situation relating to activities in real-life
An instructional activity that could help learners recognize fractions includes an analog clock, fraction strips, and pattern block.
What is an instructional activity?Instructional activities are routine segments of instruction that show how the teacher and students will participate and interact with materials and content.
An instructional activity that could help learners recognize fractions includes an analog clock, fraction strips, and pattern block. For example, if one wants to teach students about fractional parts that are divided equally into twelfths, the analog clock can be ideal.
Learn more about fractions on;
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A cone has a circular base of radius 8m. Given that the total surface area of the cone is 350m^2, find the slant height
Radius of Circular Base Of Cone= 8m
Total Surface Area= 350m²
Considering Slant Height as l
SolvingWe know,
Total Surface Area= Curved Surface Area of Cone+ Area of circular Base
i.e.,
[tex]350 { \text{m}}^{2} = \pi \times r \times l + \pi \times {r}^{2} [/tex]
[tex]350 = \pi \times r(l \times r) \\ \\ \implies 350 = 3.142 \times 8(l + 8) \\ \\ \implies \frac{350}{3.142 \times 8} = l + 8 \\ \\ \implies 13.924 = l + 8 \\ \\ \implies l = 13.924 - 8 \\ \\ \therefore l = 5.924 \: \text{cm}[/tex]
So, Slant Height= 5.924 cm
Hope This Helps| negative 9 | + | 12 | = what
a. negative 3
b. 3
c.negative 21
d.21
pleaz help might make brainliest
Answer:
21 (but see note)
Step-by-step explanation:
I am thinking you are showing the symbols for absolute values ( the vertical lines) so the absolute value of negative 9 is 9 and absolute value of positive 12 is 12 so it's just 9+12
Choose the correct graph of the function y=2√x.
Answer:
[D]
Step-by-step explanation:
Graph using the end point and a few selected points.
x y
0 0
1 2
2 2.83
Graph also below:
[RevyBreeze]
Help mee plsssssssss
Answer:
-3
Step-by-step explanation:
you can tell because 12-3=9 and 9 is the output. it's the same for the others. 15-3=12 and 20-3=17
Find the area
Can someone pls help me?
Find the area. 9 cm 3 cm 12 cm 15_cm 3 cm
Answer:
What shape is the object in question?