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Explanation:
Draw a straight line from home plate to second base. Two right triangles form. Each triangle has both legs equal to 90 ft. The hypotenuse is what we're after. We'll use the pythagorean theorem to find it.
[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\c = \sqrt{90^2 + 90^2}\\\\c = \sqrt{16200}\\\\c \approx 127.27922\\\\c \approx \boldsymbol{127.3}\\\\[/tex]
It's approximately 127.3 feet from home plate to second base. This is a straight line distance. Any curved path the ball takes will travel a slightly longer distance; however, we only consider the straight line distance for the sake of simplicity.
What is an equation of the following line?
Answer:
y = 5
Step-by-step explanation:
The equation of a horizontal line parallel to the x- axis is
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through all points with a y- coordinate of 5 , then
y = 5 ← equation of line
Calculate the height of a tree whose shadow is 20m shorter when the angle of elevation of the sun is 60° than when it's 30°.
Answer:
17.3 m
Step-by-step explanation:
If t is the height of the tree, then the length of the shadow is ...
shadow length = t/tan(α)
where α is the angle of elevation. The difference in shadow lengths is ...
20 m = t/tan(30°) -t/tan(60°) = t(√3 -1/√3)
t = (20 m)/(2/√3) = 10√3 m ≈ 17.3 m
The tree is about 17.3 meters high.
90/9 as a whole number
Answer:
10
Step-by-step explanation:
What is the value of ? show your work help please.
Answer:
Step-by-step explanation:
[tex]\frac{25}{20}=\frac{30}{4x-4}\\\frac{30}{1.25}=4x-4\\x=7[/tex]
Answer:
x = 7
Step-by-step explanation:
I'm assuming ΔJKL and ΔMNP are similar as you wouldn't be able to solve it otherwise. ∠J≅∠M and ∠K≅∠N, so I assume its just a poorly formed question.
With that assumption made, if 2 triangles are similar, the scale factor on all sides are equal. That means this:
[tex]\frac{JK}{MN} =\frac{JL}{MP}[/tex]
The scale factor is just the new length divided by the old length, and that equation shows the scale factor on both of those side lengths are the same. With 3 of the 4 side lengths, you can plug those values in and solve for the last unknown.
[tex]\frac{25}{30} =\frac{20}{4x-4}[/tex]
I use cross multiplication here:
[tex]25(4x-4)=20(30)\\100x-100=600\\100x=700\\x=7[/tex]
The nth term of a sequence is n^2 + 5.
Find the first three terms and show that 261 is a term in this sequence.
Answer:
first 3 terms: 6, 9, 14
16^2+5=261
Step-by-step explanation:
1^2+5= 6
2^2+5= 9
3^2+5= 14
will give brainliest no files will report.
what do you call two guys that like math B)
Answer:
Step-by-step explanation:
Math nerds, algebros?
Dan earns £300 over the course of a five-day week. How much is that per day?
Answer:
£60 per day
Step-by-step explanation:
1 week = 5 days
Dan earned = £300
therefore 1 day = 300 ÷ 5 = £60 per day
9x^2-(3x+1)(4x-5)+1+6x=0
Answer:
x = -1/3 or x = 6
Step-by-step explanation:
For this equation, you should use the FOIL method or the BOX method. Break it apart to solve it easier. Sites like mathpapa or symbolab can help break these down for you.
i need help: solve (4x^(6))^((3)/(2))
Answer:
(4x^{(6)})^{(\frac{(3)}{(2)})}
(4x(6))((2)(3))
Step-by-step explanation:
I think that's the answer
6(4x-3)-9x distributive property
Answer:
15x-18
Step-by-step explanation:
use pemdas
do parenthesis first
6(4x-3)-9x
24x -18 -9x
15x-18
The simplified expression after applying the distributive rule for the expression 6(4x - 3) - 9x becomes 15x - 18
The given expression is:
6(4x-3)-9x
Expanding the expression using the distributive rule
24x - 18 - 9x
Collect like terms
24x - 9x - 18 (since 24x and 9x are similar)
The resulting expression becomes:
15x - 18
The simplified expression after applying the distributive rule for the expression 6(4x - 3) - 9x becomes 15x - 18
Learn more on distributive property here:
https://brainly.com/question/4077386
E = (-52) + 13 + 49 + (-15) + (-36) + 82
Answer:
E = 41
Step-by-step explanation:
E = (-52) + 13 + 49 + (-15) + (-36) + 82
Take the -ve terms to one side and +ve terms to the other.
E = (13 + 49 + 82) - 15 - 36 - 52
E = 144 - 103
E = 41
In one day you earn $75
for 8 hours of work. If
you work 37.5 hours for
the week, what will your
weekly pay be?
Answer:
2812.5
Step-by-step explanation:
Suppose you have a coin collection of dimes and quarters containing 46 coins. If you have $6.70, how many of each type of coin do you have?
answer:
32 dimes and 14 quarters
step by step:
32 x 10 = 320
14 x 25 = 350
320 + 350 = 670
670¢ = 6.70$
find the value of x.
Answer:
x = 11
Step-by-step explanation:
Chords equidistant from the centre , which is the case here are congruent, so
x = 11
What is the solution (pls help ASAP )
Answer:
c the factor of the inequality is correct - took this test already
Step-by-step explanation:
Mark was thinking of a number. Mark adds 1.7 to the number, then doubles the result to get an
answer of 42.7. Form an equation with x
Answer:
2(x + 1.7) = 42.7
Step-by-step explanation:
"adds 1.7 to the number" represents x + 1.7"then double the result" combined with "adds 1.7 to the number" represents 2(x + 1.7) "answer of 42.7" combine with all of the above makes 2(x + 1.7) = 42.7sandra babysat for the millers for 4.5 hours. the millers gave her 40$. write and solve an equation to calculate how much sandra earned per hour. round to the nearest hundrefth.
Help pleasee giving brainliest!!
Answer:
x=21
<1=120
Step-by-step explanation:
So to find x set up an equation like this:
(5x+15)+(3x-3)=180
since the bottom and top lines are congruent they are 'interior angles on the same side of a transversal' which are always supplementary, so that's where 180 comes from.
calculate the equation and you'll get x=21 :D
next to find 1 just put 21 in place of x: 3(21)-3=60
since it's supplementary to angle 1 you take 180-60=120
angle <1=120!
1
−5
can be simplified to what value?
Answer:
1/5 is already in it's simplest form, but you can also write it was 0.2
i need a lot of help and please help i need it
please help me i need this quick
h = 2 + 32t - 16t^2 is the function given to model the balls flight and we want to know what time the ball is at 15 feet in the air, which is at 2 points in time since the ball takes a parabolic trajectory.
15 = 2 + 32t - 16t^2
0 = -16t^2 + 32t -13
since the equation isn't factorable we will use the quadratic formula.
(-b +- sqrt(b^2 - 4ac))/2a
=
we end up with t = (4+-sqrt(3))/4 which is t = 1.43 seconds and t = 0.57 seconds when approximated.
What is the are of a circle if pi is 22/7
Answer:
In-sufficient data
Step-by-step explanation:
The formula for area is pi*radius*radius
Select all of the given points in the coordinate plane that lie on the graph of the linear equation $$.
For the problem 12(-3)(-2), will the answer be positive or negative?
Answer:
the answer is positive.
Step-by-step explanation:
12(-3)(-2)
the 2 negatives cancel out, so you get a positive 6
12(6)
72
positive 72
hope this helped!
mark me brainliest :D
help me with this math work please
Work out the mean of √50, √18 and √8.
Give your answer in the form of a√2.
Show full working out.
Thank you!! <3
[tex]\frac{\sqrt{50}+\sqrt{18}+\sqrt{8}}{3} = \frac{10}{3} . \sqrt{2}[/tex]
ok done. Thank to me :>
82837848+8383830.84-73327.00.73 =?
Answer:
91148351.8327
Step-by-step explanation:
Calculator
5 16/17 as an improper fraction
Answer:
5 16/ 17
17 x 5 + 16
85+16
101/17
Step-by-step explanation:
goodluck
Answer:
answer is 101/17
find the measure indicated angle that makes lines u and v parallel
Answer:
91°
Step-by-step explanation:
The answer is 91°. What you do is you name the angle next to 89° with x, and you know that an angle whose arms are horizontal makes 180°. So, you go:
180°=x+89°
x=180°-89°
x=91°.
Now, there is this rule that says that when two angles are on sides like x and ? are, then they are equal. Therefore, the angle marked with ? is 91°.