Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
36 km
24 km
52.5 km
58 km
Answers
Answer:
x = 36 km
Step-by-step explanation:
The triangle is a right triangle. To find x, apply Pythagorean theorem which is given as: c² = a² + b²
c = hypotenuse/longest leg = 45 km
a = x
b = 27
Thus:
45² = x² + 27²
2,025 = x² + 729
2,025 - 729 = x²
1,296 = x²
√1,296 = x
36 = x
x = 36 km
Related Questions
f the measure of angle BCD is 67.4°, the measure of angle ABC is °. If the length of base AB is 80 feet, the length of DC is feet.
Answers
Answer:
[tex]\angle ABC = 112.6^o[/tex]
[tex]DE =105[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
[tex]\angle ABC[/tex] and side length DC
Calculating [tex]\angle ABC[/tex]
First, calculate [tex]\angle EBC[/tex]
[tex]\angle EBC + \angle BCE + 90 = 180[/tex] --- angles in a triang;e
[tex]\angle BCE =\angle BCD = 67.4[/tex]
So:
[tex]\angle EBC + 67.4+ 90 = 180[/tex]
[tex]\angle EBC + 157.4 = 180[/tex]
Collect like terms
[tex]\angle EBC = 180-157.4[/tex]
[tex]\angle EBC = 22.6[/tex]
So:
[tex]\angle ABC = \angle EBC +90[/tex]
[tex]\angle ABC = 22.6 +90[/tex]
[tex]\angle ABC = 112.6^o[/tex]
Calculating DC
First, calculate EC using Pythagoras theorem.
[tex]BC^2 = BE^2 + EC^2[/tex]
[tex]65^2 = 60^2 + EC^2[/tex]
[tex]4225 = 3600 + EC^2[/tex]
Collect like terms
[tex]EC^2 =4225 - 3600[/tex]
[tex]EC^2 =625[/tex]
Take square roots
[tex]EC = 25[/tex]
Length DC is:
[tex]DC = DE + EC[/tex]
Where
[tex]DE = AB =80[/tex]
So:
[tex]DE =80+25[/tex]
[tex]DE =105[/tex]
Answer:
ABC= 112.6
DC= 105
Step-by-step explanation:
got it right on edge!
A ladder of length 8m rests against a wall so that the angle bsetween the ladder and wall is 45 degree .How far is the base of the ladder from the wall?
Answers
Explanation: Use the 45-45-90 theorem to solve.
45 45 90
s s s√2
8√2 8√2 8
Suppose there is a city where the mean cost per month of a one-bedroom apartment is $1,500, with a standard deviation of $250. Approximately what percentage of one-bedroom apartments in the city cost between $750 and $1,000?
Answers
Answer:
2.35%
Step-by-step explanation:
Firstly, we calculate the z-score of each
we have this as;
z-score = (x - mean)/SD
from the question, mean is $1,500 while standard deviation is $250
So for each;
z-score = (750-1500)/250 = -750/250 = -3
z-score = (1000-1500)/250 = -500/250 = -2
Simply put, we want to calculate the percentage of prices between three standard deviations below the mean and two standard deviations below the mean
We can calculate this by using the empirical rule chart;
By looking up the this, the percentage of values between 3 SD below the mean and 2 SD below the mean is 2.35%
Robert says that he can draw an obtuse equilateral triangle. Jonas says that is not possible. Who is correct and why?
A.
Robert is correct as long as the other two angles are acute and all of the sides are the same length.
B.
Jonas is correct because an equilateral triangle has 3 acute angles and all sides the same length.
C.
Robert is correct because all equilateral triangles have 1 obtuse angle and all sides the same length.
D.
Jonas is correct because equilateral triangles have one right angle and two sides the same length.
Answers
Answer:
The correct answer is B. Jonas is correct because an equilateral triangle has 3 acute angles and all sides the same lenght
Raju's father is 26 years younger than raju's grandfather and 29 years older than raju. The sum of the ages of all the three is 135 years. Also raju's grandmother is 4 times raju's age and his sister is 7 times younger than him
Answers
Answer:
Raju = 17 years
Raju's father age = 46 years
Raju's grandfather age = 72 years
Raju's grandmother = 68 years
His sister = 10 years old
Step-by-step explanation:
Raju’s father is 26 years younger than Raju’s grandfather and 29 years older than Raju. The sum of the ages of all the three is 135 years. Also, Raju's Grandmother is four times of Raju’s age and his sister is 7 years younger than him.
Let
Raju's age = x
Raju's father age = x + 29
Raju's grandfather age = (x + 29) + 26
Total ages = 135
(x) + (x + 29) + (x + 29) + 26 = 135
x + x + 29 + x + 29 + 26 = 135
3x + 84 = 135
3x = 135 - 84
3x = 51
x = 51 /3
x = 17
Raju's age = x = 17 years
Raju's grandmother = 4 times raju's age
= 4 × 17 years
= 68 years
his sister = 7 years younger than him.
= 17 - 7
= 10 years old
Raju's father age = x + 29
= 17 + 29
= 46 years
Raju's grandfather age = (x + 29) + 26
= 46 + 26
= 72 years
Beth filled 72 jars with paint. If each jar holds 1 pint of paint, how many gallons of paint did beth use?
Answers
Answer:
9 gallons were used
Step-by-step explanation:
There are 8 pints to 1 gallon
72 jars holding 1 pint each means 72 pints total
72/8=9
Beth used 9 gallons
P.S. Can I get brainlist
Please help find the volume by using 3.14 as pi
Answers
Answer:
P
v = 794.0275 in³
Q
v = 1,307.81 in³
Step-by-step explanation:
volume of cone
v = πr²h
----------------------------
cylinder P
v = 3.14 * (4.25²) * 14
v = 794.0275 in³
-----------------------------
cylinder Q
v = 3.14 * (7²) * 8.5
v = 1,307.81 in³
Because the variable m does not appear in Ax + By = C, equations in this form make it impossible to determine the line's slope m. If the statement does not make sense, then how can you find m and what would it be? Show your work.
Answers
Answer:
Step-by-step explanation:
The statetement does not make sense because we can rewrite the equation of the line in the slope intercept form
1) add -Ax at both members
Ax + By - Ax = -Ax + C
By = -Ax + C
2) divide both members by B (assuming that its value is not 0)
y = (-A/B) x + C/B
the slope of the line is the therm that multiply x, so
m = -A/B
If you receive 25% off an item costing $220, how much
money do you save?
Answers
Answer:
You save $55
Step-by-step explanation:
To find out what the 75% of the 220 is, you need to do .75 times 220 and then after you get the answer, subtract that number from 220 and you have your answer.
.. The solution of which quadratic Inequality is shown on the number line?
O (3+6) (3 – 4) <0
O (2-6) (2 - 4) > 0
O (30 – 6)(+4) <0.
O (30 – 6) (x – 4) <0
Answers
Explanation:
If you graphed (x-6)(x+4) on the xy plane, then you'll see a parabola forming. This parabola has roots at x = -4 and x = 6. Between these roots, the curve is below the x axis. This visually shows that (x-6)(x+4) is negative when -4 < x < 6.
Furthermore, we can say that (x-6)(x+4) is negative or zero when [tex]-4 \le x \le 6[/tex] which corresponds directly to the number line graph your teacher gave you. The endpoints being closed circles mean "include this as part of the shaded solution set".
It typically takes Mr. Dunn 20 minutes to get to school, but it took him 40% longer today. How long did it take Mr. Dunn to get to school today?
EXPLAIN THE ANSWER
Answers
Answer:
28 minutes
Step-by-step explanation:
40 percent is 0.4 and 100 percent is 1. Since you have the full 100% of 20 plus the increase of 40% you have to multiply by 20 by 1.4
1.4*20 = 28
Sebastian bought x gallons of gas at a price of $2.91 per gallon at his local gas station. When he paid for the gas, Sebastian also paid $11.40 for granola
bars and a box of tissues.
If Sebastian filled 10 gallons of gas, how much did he spend in all at the gas station?
Answers
Answer:
Sebastian spent $40.40 at the gas station.
Step-by-step explanation:
First let's find how much the gas cost.
So it's $2.91 a gallon, and Sebastian fills 10 gallons of gas, so we multiply.
10 * 2.91 = $29.10
Then we add on the $11.40 from the granola bars and the box of tissues.
$29.10 + $11.40 = $40.50
So the final price should be $40.40. Sebastian spent $40.40 at the gas station.
Can someone help with this problem! Please don't scam
Answers
Answer:
KQ = 11.5 units
Step-by-step explanation:
In triangle ABC,
K is the point of intersection of medians AP and BQ.
Therefore, point K will be the centroid of the triangle.
Property of the centroid of a triangle,
" Centroid of a triangle divides the median in the ratio of 2 : 1"
Ratio of BK and KQ = 2 : 1
[tex]\frac{BK}{KQ}=\frac{2}{1}[/tex]
[tex]\frac{23}{KQ}= \frac{2}{1}[/tex]
[tex]KQ = \frac{23}{2}[/tex]
KQ = 11.5
Therefore, length of segment KQ = 11.5 units
Which is the graph of g(x) = 2x – 1 + 3?
Answers
Answer:
Your question is not very clear, hope I get what you want
Step-by-step explanation:
2x-1+3
=2x+2
=2(x+1)
Answer:The graph in the attached figureStep-by-step explanation:we have[tex]g(x)=2^{x-1}+3[/ tex
Please help me with this math no weird answers
Answers
Answer:
4a 8v+3
4b 50y+63
5a 11v+8
5b 10y-82
6a 14p
6b 36y-5
7a -3z
7b 0
Answer:
4a.
7v+3-(-1)v
7v+3+v
8v+3
4b.
-7+10(5y+7)
-7+50y+70
50y+63
5a.
-3v+4v+8+10v
11v+8
5b.
10(y-9)+8
10y-90+8
10y-82
6a.
p+9p+p+p+p+p
14p
6.b.
4+9(-4y-1)
4-36y-9
-36y-5
7.a.
-5z+2z
-3z
7b.
-10y+10y
=0
Given the functions f(x) = 2x + 1 and g(x) = 5x +4, find m(x) = f(x) - g(x)?
А. m(x) = 3x + 3
B. m(x) = -3x + 5
C. m(x) = -3x - 3
D. m(x) = 7x + 5
Answers
Answer:
m(x) =-3x -3
Step-by-step explanation:
f(x) = 2x + 1
g(x) = 5x +4
f(x) -g(x) = 2x + 1 -( 5x +4)
Distribute the minus sign
f(x) -g(x) = 2x + 1 -5x -4
Combine like terms
= 2x-5x +1 -4
= -3x -3
Five tickets are selected at random, and those five people win a gift card. If 231 tickets were purchased for the fundraiser, how many different groups of winners can there be?
Answers
Answer:
46.2
Step-by-step explanation:
If you divide 231 by 5 then you get that answer.
A farmer takes note of how many eggs he collects each day for 20 days and creates a boxplot from his data
(below). How many of the days did he collect MORE than 3 eggs?
Answers
Answer:
C.
Step-by-step explanation:
Each part of the boxplot is 25%.
At 3, Q1 starts.
Q1 + mean + Q3 = 75%
0.75 * 20 = 15 days
3. The total cost of 3 Nintendo Switch games is $89.97. If
each game costs the same amount, write an equation that
can be used to determine g, the cost of 1 game.
Answers
Answer:
3x=89.97
x=89.97/3
x=29.99 -- price of one
Step-by-step explanation:
Find the difference between one million and two hundred fifty thousand.
Express the difference in words in International and Nepali Systems.
Answers
Answer:
Step-by-step explanation:
[tex]One \ million = 1, 000, 000\\\\Two \ hundred \ and \ fifty \ thousand = 250, 000[/tex]
Difference between one million and two hundred and fifty thousand
[tex]1,000,000[/tex] [tex]- \ 250,000[/tex] [tex]= 750000[/tex]
International Number System,750,000: Seven Hundred and Fifty Thousand
Nepalis Number System,7, 50,000 : Seven Lakh Fifty Thousand
2(5x + 3) + 2 = 10x + 6
A-one solution
B-infinitely many solutions
c-no solution
Answers
Answer:
C
Step-by-step explanation:
Given
2(5x + 3) + 2 = 10x + 6 ← distribute and simplify left side
10x + 6 + 2 = 10x + 6
10x + 8 = 10x + 6 ( subtract 6 from both sides )
10x + 2 = 10x ( subtract 10x from both sides )
2 = 0 ← not possible
This indicates the equation has no solution
Answer:
no solutions
Step-by-step explanation:
2(5x + 3) + 2 = 10x + 6
* solve for x *
step 1 distribute the 2 to 5x and 3
2 * 5x = 10x
2*3=6
we now have 10x + 6 + 2 = 10x + 6
step 2 combine like terms
6 + 2 = 8
we now have 10x + 8 = 10x + 6
step 3 subtract 10x from each side
10x-10x=0
10x-10x=0
we're left with 8 = 6
8 is not equal to 6 meaning that there are no solutions to the equation
Answer please fast
Do it now please, come on do it come on
Answers
Answer:
C 42yd
Step-by-step explanation:
30. One of the games at a carnival involves trying to ring a bell with a ball by hitting a lever that propels the ball into the air. The height of the ball is modeled by the equation h(t) = -16t2 + 39t. What is the real world or practical domain of this function?
Answers
3(x+4)>12
can yall help me fr
Answers
Answer:
x>0
Step-by-step explanation:
Answer:
x > 0
Step-by-step explanation:
3(x + 4) > 12
Divide both sides by 3
x + 4 > 4
Subtract 4 from both sides
x > 0
What is the surface area, in cm2, of the figure?
Answers
Answer:
292 cm²
Step-by-step explanation:
the area = 2×(8×6 +8×7 + 6×7)
= 2×(48+56+42)
= 2×146
= 292
I got 7 but I’m confused
Answers
Answer:
27
Step-by-step explanation:
3v+6=5v-8
3v+14=5v
14=2v
v=7
3*7+6
21+6
27
u were right on 7 u just need to plug it into the equation
What is the estimated monthly expenses for a veterinarian?
Answers
Answer:
Roughly $50-$400
Step-by-step explanation:
Some expenses include:
- Vitamins
- Medication for fleas/heartworms
- Spaying/neutering
WILL MARK BRAINLIEST FOR RIGHT ANSWER!!!
Find the geometric series of a geometric sequence where a= 294 and common ratio of
seven for a6, through a10.
Answers
A0 = 6
A1 =6(7)^0
A2= 6(7)^1
A3 = 6(7)^2 = 294
A4 = 6(7)^3= 2058
A5 = 6(7)^4
A6 = 6(7)^5 = 100,842 = about 100K=10% of a million
....
A7 = 6(7)^5 = 242,121,642 = about a quarter mill
HELP ME I'LL MARK BRAINLIESTS AND PLUS 65 PTS!!!
Answers
Answer:
114
Step-by-step explanation:
Apply triangle outer angle theorem.
24+90=114.
Angle 1 equal 114
Which polynomial represents the sum below? (16x^2-16) + (-12x^2-12x+12)
Answers
Step-by-step explanation:
the answer is in the above image