Answers
Answer:
√161 yd
Step-by-step explanation:
Hi there!
We're given a right triangle (notice the right angle), the measure of one of the legs (one of the sides that make up the right angle) as 8 yd, and the hypotenuse (the side opposite to the right angle) as 15 yd.
We need to find x, which is the other leg in the triangle
If we are given 2 sides and need to find a third, we can use Pythagorean Theorem, which states that a²+b²=c² if a and b are legs and c is the hypotenuse
In this case, a=8, b=x, and c=15
So let's substitute those values into the formula
(8)²+x²=(15)²
raise everything to the second power
64+x²=225
subtract 64 from both sides
x²=161
take the square root of both x and 161
x=√161, x=-√161
-√161 cannot work in this case, as distance cannot be negative.
The question asks for the answer to be in simplified radical form, but √161 cannot be simplified down further
so the answer is √161 yd
Hope this helps! :)
Related Questions
If the ordered pairs(a,3)and (2,b) belong to the set {(x,y):y=2x-3},find the value of a,b
Answers
Answer:
a=3
b=1
Step-by-step explanation:
3=2a-3 => a=3
b=2*2-3 = 1
someone help me now?
Answers
Answer:
answer of given question is 200 miles
for this answer give me brilliant tag
Answer:
200 miles
Step-by-step explanation:
this is really not difficult.
just solve the equation as it is already written there.
130 = 0.5m + 30
100 = 0.5m = m/2
m = 200 miles
that is all that is to it.
putting this in here as question costs way more time than just doing this.
Plot point C in GeoGebra to verify that it indeed lies on AB. You can enter the coordinates in the Input window to plot the point . Also , verify the distances you calculated in question 3 using GeoGebra . Take a screenshot showing the distances displayed by GeoGebra , and paste it below .
Answers
Answer:
The picture of file
Step-by-step explanation:
Your'e welcome
Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a 70-hour review course average a score of 749. Find a linear equation which fits this data, and use this equation to predict an average score for persons taking a 57-hour review course. Round your answer to the tenths place.
Answers
Given:
30-hour review course average a score of 620 on that exam.
70-hour review course average a score of 749.
To find:
The linear equation which fits this data, and use this equation to predict an average score for persons taking a 57-hour review course.
Solution:
Let x be the number of hours of review course and y be the average score on that exam.
30-hour review course average a score of 620 on that exam. So, the linear function passes through the point (30,620).
70-hour review course average a score of 749. So, the linear function passes through the point (70,749).
The linear function passes through the points (30,620) and (70,749). So, the linear equation is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-620=\dfrac{749-620}{70-30}(x-30)[/tex]
[tex]y-620=\dfrac{129}{40}(x-30)[/tex]
[tex]y-620=\dfrac{129}{40}(x)-\dfrac{129}{40}(30)[/tex]
[tex]y-620=\dfrac{129}{40}(x)-\dfrac{387}{4}[/tex]
Adding 620 on both sides, we get
[tex]y=\dfrac{129}{40}x-\dfrac{387}{4}+620[/tex]
[tex]y=\dfrac{129}{40}x+\dfrac{2480-387}{4}[/tex]
[tex]y=\dfrac{129}{40}x+\dfrac{2093}{4}[/tex]
We need to find the y-value for [tex]x=57[/tex].
[tex]y=\dfrac{129}{40}(57)+\dfrac{2093}{4}[/tex]
[tex]y=183.825+523.25[/tex]
[tex]y=707.075[/tex]
[tex]y\approx 707.1[/tex]
Therefore, the required linear equation for the given situation is [tex]y=\dfrac{129}{40}x+\dfrac{2093}{4}[/tex] and the average score for persons taking a 57-hour review course is 707.1.
Suggest methods (other than Cartesian Coordinates) of describing the location of points on a plane.
Answers
Answer:
There are two alternatives: (i) Polar coordinate system (a.k.a. Circular coordinate system), (ii) Elliptic coordinate system.
Step-by-step explanation:
There are two alternative ways of describing the location of points on a plane:
(i) Polar coordinate system (a.k.a. Circular coordinate system).
(ii) Elliptic coordinate system.
Now we proceed to explain briefly the characteristic of each option:
Polar coordinate system: [tex](r, \theta)[/tex]
Where:
[tex]r[/tex] - Distance of the point with respect to origin.
[tex]\theta[/tex] - Direction of the vector between origin and point with respect to the +x semiaxis, in sexagesimal degrees.
The formulae for each component in terms of Cartesian coordinates are described below:
[tex]r = \sqrt{x^{2}+y^{2}}[/tex] (1)
[tex]\theta = \tan^{-1} \frac{y}{x}[/tex] (2)
Elliptic coordinate system: [tex](\mu, \nu)[/tex]
Where [tex]\mu[/tex] and [tex]\nu[/tex] are elliptical coordinates.
The formulae for each component in terms of Cartesian coordinates are described below:
[tex]x = a\cdot \cosh \mu \cdot \cos \nu[/tex] (3)
[tex]y = a \cdot \sinh \mu \cdot \sin \nu[/tex] (4)
Where [tex]a[/tex] is the distance between origin and any of the foci along the x axis.
What is the measure of side B’C’?
Answers
-3/11 + 5/9 can you pls explain this step by step
Answers
Answer:
[tex]\frac{28}{9}[/tex]
Step-by-step explanation:
[tex]\frac{-3}{11} +\frac{5}{9}[/tex]
[tex]=\frac{-27}{99} +\frac{55}{99}[/tex]
[tex]=\frac{-27+55}{99}[/tex]
[tex]=\frac{28}{99}[/tex]
If < A and < B are complementary, and < A = 3x + 4 degrees, while < B = 6x - 4 degrees, find x.
Select one:
a. 10
b. 4
c. 9
d. 21
Answers
Answer:
a
Step-by-step explanation:
complementary angles sum to 90° , so
3x + 4 + 6x - 4 = 90
9x = 90 ( divide both sides by 9 )
x = 10
find the slope between the points (-10,8) and (-7,5)
Answers
Answer:
-1
Step-by-step explanation:
Slope = (y2 - y1) / (x2 - x1)
Slope = (8 - 5) / (-10 - -7)
Slope = 3 / (-3)
Slope = -1
Y2-y1/x2-x1
8 - -10/ 5 - -7
18/ 12
You can leave it as 18/12 or 0.5 is your slope
Hope this helped *smiles*
Let x=−1−5i and y=5−i. Find x+y
Answers
Answer:
[tex]4-6i[/tex]
Step-by-step explanation:
Substitute the value of the variable into the expression and simplify.
What is the length of AC?
A
8
B
C
O
Answers
Answer:
hi, it's 16 because:
[tex]ab = bc \\ ab = 8 \\ ac = 2 \times 8 = 16 \\ ac = 16[/tex]
Answer:
16
Step-by-step explanation:
Theorem: In a circle, if a radius is perpendicular to a chord, then the radius is the perpendicular bisector of the chord.
In this case, the radius containing points O and B is perpendicular to chord AC, so the radius bisects chord AC making AB = BC.
Also,
AB + BC = AC
By substitution, we have
AB + AB = AC
AC = 2AB
AC = 2(8)
AC = 16
As shown in Figure 2, it is known that PQRS, VWXY and RTU are all straight lines.
a）Find the value of a + b + c + d + e;
b）Find the sum of the interior angles of the polygon QRTXW.
Answers
Answer:
a. 360°
b. 540°
Step-by-step explanation:
a The sum of the exterior angles of any n-sided polygon is always 360°. Therefore:
a + b + c + d + e = 360°
b. Sum of interior angles of an n-sided polygon is given as (n - 2) × 180
The polygon, QRTXW is a 5 sided polygon, therefore n = 5.
Plug in the value of 5 into the equation:
Sum of interior angles of QRTXW = (5 - 2) × 180
= 3 × 180
= 540°
amy is walking laps whilst frank is jogging laps on the nature trail. Amy completes a lap in 15 minutes, frank completes a lap in 6 minutes. How long will it take before they both finish at the same time
Answers
Answer:
9 minutes
Step-by-step explanation:
Firstly they were in the same pace, Amy was walking while Frank was jogging.
then it will be 15 - 6 = 9
5/8 divided by 8 please help man I will give the brainly thing \y
Answers
Answer:
5/64
Step-by-step explanation:
5/8 : 8 = 5/8 * 1/8 = 5/64
Answer:
12 4/5
Step-by-step explanation:
simplified
Help..................
Answers
Answer:
IJKUKOKLIOLIOOOIOLI
Step-by-step explanation:
IOIUOIUOIOIOIOIOIOIOIOIOIOIOIOIOIOIOIOOIOIOIOIOIOIOIOIOIOIOIO
A pallet of floor tiles contains 60 cases of tiles, and the yard has 10 complete pallets of tile. If you remove 180 cases for one customer how many cases of tiles will be remaining in the yard?
Answers
Total cases = total pallets x cases per pallet
Total cases = 60 x 10 = 600 cases
600 cases - 180 cases = 420 cases left
Answer: 420 cases
Solve for x.
3х - 4 = 13
Answers
[tex]\large\bold{\underline{\underline{ \: x = 5 \frac{2}{3} }}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]3x - 4 = 13[/tex]
[tex]➺ \: 3x = 13 + 4[/tex]
[tex]➺ \: 3x = 17[/tex]
[tex]➺ \: x = \frac{ 17}{3} [/tex]
[tex]➺ \: x = 5 \frac{2}{3} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex]➺ \: 3x - 4 = 13[/tex]
[tex]➺ \: 3 \times 5 \frac{2}{3} - 4 = 13[/tex]
[tex]➺ \: 3 \times \frac{17}{3} - 4 = 13[/tex]
[tex]➺ \: 17 - 4 = 13[/tex]
[tex]➺ \: 13 = 13[/tex]
➺ L. H. S. = R. H. S.
Hence verified.
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]
Hope it helps:)
Can someone please help me with this question
Answers
Answer:
The answer should be: B
I think it's B because there are 2 cups of water (2c) and 7 bottles of water (7w) which costs $16 so that would be 2c +7w=16. Also for the other one, it's 3 cups (3c) and 8 bottles of water (8W) and the cost is $19 so that would be
3c + 8w =19
Step-by-step explanation: Hope this helps and gl :))
Can someone help me with this math homework please!
Answers
Answer:
{x| x = -7, -6, 2, 11, 3}
Step-by-step explanation:
domain of a relation is the set of values of that act as input
so answer:-
{x| x = -7, -6, 2, 11, 3}
domain is taken as x
Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicatedvalue of x to be less than 0.0001.
Answers
Answer:
Fifth degree polynomial
Step-by-step explanation:
Given data:
e^0.3
error = 0.0001
let the function ; f(x) = e^x
note : x = 0.3
The Maclaurin polynomial f(x) = e^x = 1 + x + x^2 / 2! + x^3/3! --- + ∑ x^n/n!
= 1 + 0.3 + (0.3)^2/2! + (0.3)^3 / 3! --- + ∑ (0.3)^n/n!
Attached below is the remaining part of the solution
Identify the symmetry.
O Reflection symmetry
O Rotational symmetry
O Both
O None of the above
Answers
Answer:
Reflection symmetry
Step-by-step explanation:
For an image to have reflection symmetry, it must appear the same after reflected over any line. In this case, there is a vertical line of symmetry we can reflect the image and not appear to have made any changes.
For an image to rotational symmetry, it needs to appear the same after being rotated some degree in either direction less than one full turn. In this case, there exists no rotation less than one full turn where we can rotate the image so it appears the exact same as it was before.
Therefore, this image only has reflection symmetry.
If f(x)=5X-2 and g(x) = x+1, find (f -g)(x)
Answers
Answer:
Step by step explanation
a
I NEED HELP WITH 2 QUESTIONSS
1.What is the mean change in the forecasted low temperatures over the next 7 days? Remember, this can be found by averaging the values in the Difference column for the low temperatures. If your answer is not an integer, explain what two integers your answer is between.
LOW TEMPTURES:
WEDNESDAY-79
THURSDAY- 79
FRIDAY- 73
SATURDAY- 73
SUNDAY - 73
MONDAY- 73
TUESDAY- 75
2. What is the mean change in the forecasted high temperatures over the next 7 days? Remember, this can be found by averaging the values in the Difference column for the high temperatures. Show your work and steps. If your answer is not an integer, explain what two integers your answer is between.
WEDNESDAY- 88
THURSDAY- 87
FRIDAY- 90
SATURDAY- 90
SUNDAY- 86
MONDAY- 88
TUESDAY-86
PLEASE ANSWER FAST!!!
Answers
2. Between 87 and 88
Solve the following pair of linear equations using substitution method
[tex] x-3y = 13[/tex]
[tex]x+2y=8[/tex]
Answers
Answer:
(10, - 1 )
Step-by-step explanation:
Given the 2 equations
x - 3y = 13 → (1)
x + 2y = 8 → (2)
Rearrange (1) making x the subject by adding 3y to both sides
x = 3y + 13 → (3)
Substitute x = 3y + 13 into (2)
3y + 13 + 2y = 8
5y + 13 = 8 ( subtract 13 from both sides )
5y = - 5 ( divide both sides by 5 )
y = - 1
Substitute y = - 1 into (3) for corresponding value of x
x = 3(- 1) + 13 = - 3 + 13 = 10
solution is (10, - 1 )
How to solve the area of a triangle
Answers
Step-by-step explanation:
The photo which is in the attachment is an example for your question. hope this answer helps you!!A and B are two similar solids...
Answers
Answer:
cant download send ss
Step-by-step explanation:
Can someone help me with this math homework please!
Answers
Answer:
Step 1 & Step 4 are true statements
Step-by-step explanation:
Explanation in progress! Enjoy your answer first then come back for the explanation once you've done it (●'◡'●)
Uh could someone help me on this please?
Evaluate the following, using distributive property.
(i) – 39 × 99
(ii) (– 85) × 43 + 43 × ( – 15)
Answers
Answer:
39×99=3861.
85×43+43×15=4300
39 multiple 99= 3861
Step-by-step explanation:
85 multiple 43 add 15=4300
Solve 2(1 – x) > 2x.
x < 2
x > 0.5
x < 0.5
x > 2
Answers
Answer:
x < 0.5
Step-by-step explanation:
Given
2(1 - x) > 2x ( divide both sides by 2 )
1 - x > x ( add x to both sides )
1 > 2x ( divide both sides by 2 )
[tex]\frac{1}{2}[/tex] > x , that is
x < [tex]\frac{1}{2}[/tex] OR x < 0.5
(-4)+12+(-20) simplify
Answers
(-4)+12+(-20)
= 12 + (-24)
= -12
Answer:
-12
Step-by-step explanation:
The solution is in the picture ^_^ I hope it helps