Answers
[tex]\huge\bold{To\:find:}[/tex]
✎ The length of the hypotenuse.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\purple{The\:length\:of\:the\:hypotenuse \:"c"\:is\:5.10\:km.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Using Pythagoras theorem, we have
[tex]( {perpendicular})^{2} + ( {base})^{2} = ( {hypotenuse})^{2} \\ ⇢ ( {5 \: km})^{2} + ( {1 \: km})^{2} = ( {c})^{2} \\ ⇢ 25 \: {km}^{2} + 1 \: {km}^{2} = {c}^{2} \\ ⇢ 26 \: {km}^{2} = {c}^{2} \\ ⇢ \sqrt{26 \: {km}^{2} } = c \\ ⇢5.0990 \: km = c \\ ⇢5.10 \: km = c[/tex]
[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:5.10\:km.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]( {5 \: km})^{2} + ( {1 \: km})^{2} = ( {5.10 \: km})^{2} \\ ⇝25 \: {km}^{2} + 1 \: {km}^{2} = 26 \: {km}^{2} \\ ⇝26 \: {km}^{2} = 26\: {km}^{2} \\ ⇝L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Related Questions
What is the solution set to the inequality 5(x - 2)(x + 4) > 0?
O {xx>-4 and x <2}
O {x| X <-4 or x > 2)
O {x} x <-2 or x > 4)
O {X/ x>-2 or x <4}
Answers
Answer:
{x | x < 2 and x < -4 }
Step-by-step explanation:
Given the inequality 5(x - 2)(x + 4) > 0?
This also means x - 2 < 0 and x + 4<0
For x - 2 < 0
Add 2 to both sides
x - 2 + 2 < 0 + 2
x < 2
Similarlry for x + 4 <0
Subtract 4 from both sides
x+4-4 < 0 -4
x < 0 -4
x < -4
x < 2 and x < -4
Hence the required solution is {x | x < 2 and x < -4 }
Graph the function.
f(x)=4⋅(3/2)^x
Answers
Answer:
Graph the function.
Step-by-step explanation:
PLEASE HELP ASAP PLEASE
Answers
Answer:
Step-by-step explanation:
The k is indicative of movement either up or down, while h is indicative of movement that is either right or left. The blue graph moves both to the right and down to get to the position of the red graph. On the blue graph, locate the point (0, 1). That point moves from a y-location of 1 to a y-location of -2, meaning that it moves down 3 units; therefore, the value of k is -3.
Which expression would you use to determine the missing number in the sequence? 12, ____, 26, 33, 40
Answers
Answer:
The answer is 19.
Step-by-step explanation:
This is because the sequence adds up by 7 each time. Have a nice day!
Answer:
19
Step-by-step explanation:
The sequences are adding 7, so 12 + 7= 19
I hope this helps :D
PLEASE HELP pls I know it’s the easiest thing I just could never understand this
Answers
Answer:
I think its 10 pls dont get mad at me if its wrong.
Step-by-step explanation:
if you see x and then 10 you can see they line up
The speeds of cars on a given i street we are normally distributed with a mean of 72 miles per hour and a standard deviation of 3.2 miles per hour. What percent of drivers are traveling between 70 and 80 miles per hour based on this distribution
Answers
Answer: 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.
Step-by-step explanation:
Let X be a random variable that represents the speed of the drivers.
Given: population mean : M = 72 miles ,
Standard deviation: s= 3.2 miles
The probability that the drivers are traveling between 70 and 80 miles per hour based on this distribution:
[tex]P(70\leq X\leq 80)=P(\frac{70-72}{3.2}\leq \frac{X-M}{s}\leq\frac{80-72}{3.2})\\\\= P(-0.625\leq Z\leq 2.5)\ \ \ \ \ [Z=\frac{X-M}{s}]\\\\=P(Z\leq2.5)-P(Z\leq -0.625)\\\\\\ =0.9938-0.2660\ \ \ [\text{Using p-value calculator}]\\\\=0.7278[/tex]
Hence, 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.
someone pls help!! NO LINKS AND ONLY ANSWER IF U KNOW!! i’ll report u if u do either. pls explain well too
Answers
Answer:
can u please send the question again with clear picture of diagram?
sECOND LAST QUESTION PLS HELP DHGIFSTSTSHVJD
Answers
Answer:
96
sdfdsfsdfsf
Answer:
It A. 96 inches
Hope it helps!
Step-by-step explanation:
Find the slope of a line that goes through the two points (-1, 1) and (-3, -7).
Answers
Answer:
the slope of the line is 4 and the working is in the attached picture
Answer:
4
Step-by-step explanation:
[tex]\frac{-7 - 1}{-3-(-1)}[/tex] = [tex]\frac{-8}{-2}[/tex] = 4
how many puppies were rescued 12x+3=
Answers
Answer:
36
Step-by-step explanation:
12 x 3 = 36
CORRECT TO ONE DECIMAL PLACE
[tex]2x(x - 3)[/tex]
Answers
Calculate the area of the figure.
HELP
Answers
Answer:
Step-by-step explanation:
A=bh A=7*8 A=56units^2
Answer:
34
Step-by-step explanation:
i think its 34
a circle is graphed on a coordinate grid and tgen reflected across the y-axis. if the center of the original circle was located at (x,y). which ordered pair represents the center of the new circle after the transformation
Answers
Answer:
The new center is the point (-x, y)
Step-by-step explanation:
When you reflect a point across the y-axis, the x-coordinate changes to its opposite (additive inverse).
See the attached image for an example.
The circle on the right has center (3, 1). When reflected across the y-axis, the reflected center is (-3, 1).
Which of the following shows that the difference of two irrational numbers can be rational?
See picture for multiple choice. Thank you :)
Answers
Answer:b
Step-by-step explanation: pi is irrational so if you add it to something that becomes irrational
Answer:
b
Step-by-step explanation:
The pastor divided the 3,000 circulars among 15 teenagers. How many circulars did each young person receive?
(Write the explanation and answer)
Answers
3,000/15= 200
Help I have like 10 minutes to do this
Answers
Answer:
5
Step-by-step explanation:
The mean is the average so add up all values of the data points and divide by the amount of data points.
Answer:
11
Step-by-step explanation:
add all the x's to get the total
Which of the following lines is parallel to the line that passes through (-1, -3) and (5,0)?
Answers
how many single bonds would be needed to make an octet?
Answers
Answer: it would be four
Step-by-step explanation:
Taryn is making a quilt using fabric in the shape of parallelograms that have side lengths of 12 cm and 4.5 cm as shown. She sews two right
triangles to either end of the parallelogram to make a rectangle. The length of OP is 2.5 cm.
What is the length of MN?
O A V2.5 cm
OB. 14 cm
OC 4.5 cm
OD 26.5 cm
OE 7 cm
Answers
Answer:
[tex]MN = \sqrt{14[/tex]
Step-by-step explanation:
Given
[tex]NO = 12[/tex]
[tex]OP = 2.5[/tex]
[tex]OQ = 4.5[/tex]
Required
Find MN
First, we calculate QP using Pythagoras theorem
[tex]OQ^2 = OP^2 + QP^2[/tex]
[tex]4.5^2 = 2.5^2 + QP^2[/tex]
[tex]20.25 = 6.25 + QP^2[/tex]
Collect like terms
[tex]QP^2 = 20.25 - 6.25[/tex]
[tex]QP^2 = 14[/tex]
Take square roots
[tex]QP = \sqrt{14[/tex]
To solve MN, we have:
[tex]MN = OP[/tex]
So:
[tex]MN = \sqrt{14[/tex]
To find an estimate for π I could...
Answers
Answer:
You could use 3.14 or 22/7
Step-by-step explanation:
It should be what you're asking, if not, tell me and I'll give you another answer.
:)
Answer:
use 22/7 or 355/133, but 355/133 is not very commonly used and is unwieldy.
Step-by-step explanation:
Will give brainliest
GO FROM BLACK DOT TO BLACK DOT FOR CALCULATIONS TO BE ACCURATE
1 BOX = 1 FOOT
Across the room are your 2 best friends Sara & Jon
Laying at the exact midpoint between them is /y
the perfect zombie killing potion. Unfortunately,
Sara & Jon have both developed a taste for brains so they won't
be much help. What are the coordinates of the potion?
ROUND TO THE TENTHS
Answers
EASY GEOMETRY/10 POINTS/WILL MARK AS BRAINLIST
WHICH IS NOT A PYTHAGOREAN TRIPLE
Answers
Answer:
Answer = D.) 9, 12, 16
Step-by-step explanation:
Answer:
[tex]pythagorean : AC^2 = AB^2 + BC^2 \\\\(3,4,5) = 5^2 = 3^2 + 4^2 \\ => satisfies\\\\(5, 12 , 13) = 13^2 = 5^2 + 12^2 \\=> satisfies\\\\(6, 8 , 10) = 10^2 = 6^2 +8^2\\=>satisfies\\\\(9,12, 16) = 16^2 = 9^2 + 12^2 => 256 = 81 + 144 => 256 = 225 \\=> does \ not\ satisfy[/tex]
Determine the volume of the composite figure...
Answers
Someone please help me thank you
Answers
Answer:
x = -8, y = 4
Step-by-step explanation:
3x + 3y = -12 (1)
x + 6y = 16 (2)
Multiply (2) by 3
3x + 18y = 48 (3)
3x + 3y = -12 (1)
Subtract (1) from (3) to eliminate x
18y - 3y = 48 - (-12)
15y = 48 + 12
15y = 60
y = 60/15
y = 4
Substitute y = 4 into (1)
3x + 3y = -12 (1)
3x + 3(4) = -12
3x + 12 = -12
3x = -12 - 12
3x = -24
x = -24/3
x = -8
x = -8, y = 4
please answer fast.
Answers
Answer:
Step-by-step explanation:
please help guys!!
2.
Recall that
lines never intersect. This is because they have the
same
and different
If their y-intercepts were also the
same, then the lines would
and intersect everywhere. Lines that intersect
to form right angles are called
. When we constructed perpendicular lines,
we
the points of a line 90 degrees. This is how the
angles were created. Algebraically, we say that the slopes are
reciprocals meaning that their slopes have opposite
and flipped
You can check by multiplying them. The
of negative
reciprocals is -1.
Word Bank:
negative
slope
perpendicular
rotated
product
overlap
right
parallel
signs
y-intercept
fractions
Answers
Answer:
and the question is? I'm confused
which inequality is graphed in green
Answers
Answer:
The one on the right. y< -x/2 - 1
Please help with this pls.
Answers
Answer:
x = 9
(5x9) - 1° = 45 - 1 or 44°
Step-by-step explanation:
the little square indicates the angle is a right angle, measuring 90°
therefore, you can solve for 'x' by creating this equation:
46 + 5x-1 = 90
45 + 5x = 90
5x = 45
x = 9
I NEED HELP PLEASE IT WOULD HELP ME ALOT
Answers
Answer:
Step-by-step explanation:
21 is the side opposite the angle you want.
67 is the hypotenuse. Those two sides define the Sin
Sin(theta) = opposite / hypotenuse
Sin(theta) = 21 / 67
Sin(theta) = .313432
theta or x = sin-1(0.313432)
x = 18.27
Sorry, I must have hit the wrong key the first time.
Answer:
18.27˚
Step-by-step explanation:
Set up a proportion.
What is h?
Answers
Answer:
Decimal:
h = 4.2 ft
Fraction:
[tex]h=4\frac{1}{5}[/tex] ft
Step-by-step explanation:
[tex]\frac{9}{15} :\frac{h}{7}[/tex]
Cross multiply.
h · 15 = 9 · 7
Simplify.
15h = 63
Divide each side by 15.
15h ÷ 15 = 63 ÷ 15
Simplify.
h = 4.2