Answers
Answer:
[tex]x=21.6[/tex]
Step-by-step explanation:
Use the Pythagorean theorem to solve this problem. The Pythagorean theorem states the following,
[tex]a^2 + b^c = c^2[/tex]
Where (a) and (b) are the legs or the sides adjacent to the right angle, and (c) is the hypotenuse or the side opposite the right angle.
Use the Pythagorean theorem in the right triangle with legs (15) and (18),
[tex](15)^2+(18)^2=c^2\\\\225 + 324=c^2\\\\549=c^2\\\\\sqrt{549}=c[/tex]
Use the Pythagorean theorem again in the right triangle with the legs (18) and (x)
[tex](x)^2+(18)^2=c^2\\\\\sqrt{x^2+324}=c[/tex]
Use the Pythagorean theorem one final time in the larger triangle,
[tex](\sqrt{x^2+324})^2+(\sqrt{549})^2=(x+15)^2\\[/tex]
Simplify, remember that anything to the power (2) is equal to the base (number under the exponent) times itself,
[tex]x^2+324+549=x^2+30x+225[/tex]
[tex]x^2+873=x^2+30x+225[/tex]
Inverse operations,
[tex]x^2+873=x^2+30x+225\\-x^2\\\\873=30x+225\\-225\\\\648=30x\\/30\\\\\frac{648}{30}=x\\\\21.6=x[/tex]
Related Questions
Ariel, who is 15, is 3 years more than
twice the age of Hilary. How old is
Hilary?
Answers
Answer:
6
Step-by-step explanation:
15 - 3 = 12, divide that by 2 and your answer is 6.
Answer:6
Step-by-step explanation:
yea
What do you add to 2 3/7 to make 4
&
What do you add to 5 4/9 to make 7
Answers
Hope this helps, have a nice day!!!
Our answers are
1 4/7 and 1 5/9
Rewrite the quadratic function in standard form,
f(x)=3x^2-4x
Answers
Answer:
x(3x-4)
Step-by-step explanation:
a circle’s radius is increased by 8%. Find the increase in the circle’s area.
Answers
Answer: The percentage increase in the area of the circle is 16.64 % when radius is increased by 8 %.
If a rock was thrown at t-2.23tp and hits its height at 1.56 meters what was the height of the tower?
Answers
Answer:
t = 4.875 s
h(4.875) = 686.25 ft
t ≈ 11.424 s
Step-by-step explanation:
These questions are more easily answered if the equation is written in vertex form. Subtracting the constant and dividing out -16, we get ...
h(t) -306 = -16(t^2 -9.75t)
Adding the square of half the t-coefficient inside parentheses gives ...
h(t) -306 -380.25 = -16(t^2 -9.75t +23.765625)
h(t) = -16(t -4.875)^2 + 686.25
This tells us the maximum height is 686.25 ft at time t = 4.875 seconds.
__
When the rock hits the ground, h(t) = 0, so ...
0 = -16(t -4.875)^2 + 686.25
686.25/16 = (t -4.875)^2 . . . . . subtract 686.25, divide by -16
√42.890625 +4.875 = t ≈ 11.424 . . . . take the square root, add 4.875
The rock hits the ground after about 11.424 seconds.
Calculate the angle subtended by an arc whose length is 89.5cm and radius 12cm
Answers
Answer:
Step-by-step explanation:
angle at the center
[tex]\theta=\frac{l}{r}\\where~l=length~of~arc\\r=radius\\\theta=\frac{89.5}{12}~radians[/tex]
How many groups of 1/2 pounds are their in 2 3/4 pounds
Answers
Answer:
2/11
Step-by-step explanation:
These are division problems.
[tex] \frac{1}{2} \div 2 \frac{3}{4} [/tex]
convert 2 3/4 to an improper fraction. 4 x 2 + 3
[tex] \frac{1}{2} \div \frac{11}{4} [/tex]
keep change flip
[tex] \frac{1}{2} \times \frac{4}{11} [/tex]
cancel the 2 and 4. the 2 becomes a 1 and the 4 becomes a 2
[tex] \frac{1}{1} \times \frac{2}{11} [/tex]
multiply
[tex] \frac{2}{11} [/tex]
Can someone help me do this
Answers
Answer:
X = 2
5y + (what is that number???) can not see it
So to find x ,
5x+2=12 as they are equivalent on the triangles
Minus 2 from both sides
5x = 10
Divide by 5 from both sides
X = 2
5y+6 = 111
Minus 6 from both sides
5y = 105
Divide by 5 from both sides
Y = 21
The ratio of juice to water is 1:5. How much
juice is needed to make 24 liters of punch?
Answers
Answer:
5.8 liters
Step-by-step explanation:
24 divided by 5 becomes 5.8
What is the slope of a line perpendicular to the line whose equation is 10x + 6у –84. Fully simplify your answer.
Answers
Answer:
The slope is 3/5.
Step-by-step explanation:
I am assuming you mean
10x + 6y = 84
6y = -10x + 84
y = -5/3 x + 14.
So the slope of this line is -5/3 and the slope of a line perpendicular to it is
-1 / -5/3 = 3/5.
1
What is the solution to the equation
1/x = x+3/2x^2
?
O X=-3
O x= -3 and x = 0
O x = 0 and x = 3
O x=3
Answers
[tex] \frac{1}{x} = \frac{x + 3}{ {2x}^{2} } \\ = > \frac{2 {x}^{2} }{x} = x + 3 \\ = > 2x = x + 3 \\ = > 2x - x = 3 \\ = > x = 3[/tex]
Answer:The answer is option d. X = 3
X = ?
Can someone tell me
The answer to this question
Answers
Answer:
113=x
Step-by-step explanation:
seeing as how the sum of all angles in a triangle is 180 degrees, we can get an equation:
28+39+x=180
simplify to get:
67+x=180
subtract 67 from both sides to get your answer:
113=x
Answer:
[tex]x=113[/tex]
[tex]y=67[/tex]
[tex]z=49[/tex]
Step-by-step explanation:
To find x:
We can use the angle sum property of a triangle which states that, The sum of all internal angles of a triangle is always equal to 180°.
Therefore, [tex]28+39+x=180[/tex]
[tex]67+x=180[/tex]
[tex]x=180-67[/tex]
[tex]x=113[/tex]
Now that we know the value of [tex]x[/tex] we can use it to find the value of [tex]y[/tex].
We can see that angle [tex]x[/tex] and [tex]y[/tex] are supplementary which means:
[tex]x+y=180[/tex]
[tex]113+y=180[/tex]
[tex]y=180-113[/tex]
[tex]y=67[/tex]
Now that we know the value of [tex]y[/tex] we can use the angle sum property of a triangle again:
[tex]64+y+z=180[/tex]
[tex]64+67+z=180[/tex]
[tex]131+z=180[/tex]
[tex]z=180-131[/tex]
[tex]z=49[/tex]
Which of the following lies on the line y =- 3x + 2?
(A) (-1, 8)
(B) (0, 4)
(C) (2, -4)
(D) (5, - 10)
Answers
Answer:
C
Step-by-step explanation:
I can't say for sure, but I am confident that is the right answer.
11. Find the value of r so that the polygons have the same per
X+4
x + 5
x + 3
X-2
X+4
(Just solve 11. Pleaaase!)
Answers
Answer: i
Step-by-step explanation: dk
Volume Of This Prism
Answers
Answer:
look at the photo i have sent
Please I’ll mark brainiest and I’ll give extra points !!
Answers
Answer:
B
Step-by-step explanation:
2.75 x 0.10x
x in this case is 0
so 2.75 x 0.10x0
= 2.75
please help if possible does anyone know where to find the answers to this packet
Answers
Answer:
This looks teacher made so i doubt you would be able to find this anywhere
Step-by-step explanation:
WILL SOMEONE HELP PLZ ANSWER THESE 3 QUESTIONS*
The number line compares the numbers –6, 3, and 5.
1. Write an inequality that compares –6 and 3. Justify your inequality using the number line.
2. Write an inequality that compares 3 and 5.
3. Write an inequality that compares –6, 3, and 5.
Answers
#1
-6-3-5
Hence inequality will be
[tex]\\ \sf\longmapsto -6\leqslant 5[/tex]
#2.
3<5
But we need inequality
[tex]\\ \sf\longmapsto 3\leqslant 5[/tex]
#3
The inequality given by
[tex]\\ \sf\longmapsto -6\leqslant 3\leqslant 5[/tex]
Answer:
1. Inequality
[tex] \hookrightarrow \: { \rm{ - 6 < 0 < 3}}[/tex]
2. Inequality
[tex] \hookrightarrow \: { \rm{3 < 0 < 5}}[/tex]
3. Inequality
[tex] \hookrightarrow \: { \rm{ - 6 < 0 < 3 < 5}}[/tex]
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
(-2, -4); y = -2x + 3
Answers
Answer:
any thig with -2x as the first number would be paraell
Step-by-step explanation:
This I my question any body help
Answers
Answer: table 2
Step-by-step explanation:
its because the rest of the tables do not have a pattern that ‘makes sense’ unlike table 2. for table 2, for every one 1 km there’s 10$
Alexandra had a 15% coupn for movie tickets. The total cost of the movie tickets was $66. How much did she pay after the discount?
Answers
Answer:
$56.10
Step-by-step explanation:
Alexandra has a $66 ticket with a 15% discount. 15% of 66 is 9.9
Subtract the discount (9.9) from the cost $66
$66-$9.9= $56.10
Answer:
i think its 9.9
Step-by-step explanation:
just use a calculator
Steven collected $5.40 from 3 people for a train ride. How much was the train ride per person?
A. $2
B. $1.80
Answers
all you have to do is divide $5.40 and 3 and that will give you $1.80
PLEASE HELP ASAPPP -K-12-
What is the equation of the line in slope-intercept form?
y =
x +
Answers
Answer:
y = (3/5)x + 3
Step-by-step explanation:
(-5,0)
(0,3)
3/5 x + 3
Write a linear function for the data in each table.
SEE EXAMPLE 2
21.
х
-2
-1
0
1
2.
1
у
N
-1 -2 1 / 4
N
f(x) = -3/2x +3
f(x) = -3/2x-1
f(x) = 2x - 1
f(x) = 2/3x - 1
f(x) = 4x + 2
Bby
Answers
f(×) =-1-21/4yn Thanks me later
A local business rents computer time for a $5 setup charge and $0.30 per minute the computer is used
Write an equation to represent the cost of using the computer for a given amount of
Us
time in minutes. Define your variables.
How much does 30 minutes of computer time cost?
Answers
Answer:
[tex]c = 0.3m + 5[/tex]
define the variables:
c is the cost and m is minutes
It costs $14
Step-by-step explanation:
[tex]c = 0.3m + 5[/tex]
To solve for cost substitute 30 in for m
[tex]c = 0.3(30) + 5[/tex]
multiply
[tex]c = 9 + 5[/tex]
add
[tex]c = 14[/tex]
please help me!! Will give Brainly if correct
Answers
Answer:
-1
Step-by-step explanation:
Let's take two points on the line- (0,2) and (2,0).
To find the slope:
[tex]m = \frac{y_2 - y_1}{x_2-x_1}\\m = \frac{0 - 2}{2-0}\\m = \frac{-2}{2}\\m = -1[/tex]
The slope is -1.
10r = –50 solve for r
Answers
Answer:
10r=-50
r = -50/10
r = -5
.........
Which statement best supports the generalization that the history of Earth is stored in its rocks?(1 point) ASAP PLEASE!!!!!!!
An analysis of the area known as the Siberian Traps proved that a major volcanic eruption contributed to a mass extinction on Earth.
An analysis of the area known as the Siberian Traps proved that a major volcanic eruption contributed to a mass extinction on Earth.
A study of the metal iridium revealed that it is rarely found on Earth.
A study of the metal iridium revealed that it is rarely found on Earth.
An investigation into increased ocean temperatures indicated global warming occurred on Earth.
An investigation into increased ocean temperatures indicated global warming occurred on Earth.
A test to measure the impact of an asteroid striking Earth highlighted the large clouds of dust that would block out the sun.
Answers
Answer:
the last paragraph ʕ•ﻌ•ʔʕ•ﻌ•ʔʕ•ﻌ•ʔ
Answer:
An analysis of the area known as the Siberian Traps proved that a major volcanic eruption contributed to a mass extinction on Earth.
Step-by-step explanation:
Can you help me please?
Answers
which angles are alternate
Answers
Answer:
POL and KLO
Step-by-step explanation:
Alternate interior angles are between the parallel lines and on opposite sides of the transversal
NOL and MLO
POL and KLO
Answer:
KLO and POL
Step-by-step explanation: