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
A store pays $147 for a skateboard. If the store marks it up 75%, then marks it down 22%. What is the new cost
Answers
Answer:
$200.65
Step-by-step explanation:
If they bought it for 147 then marked it up 75% you would do
$147+75% = 257.25
THEN they mark down
257.25 - 22% = $200.255 which would be
$200.25 orrr $200.26
Ryan's take-home pay is $2,500 each month. The amount for gas is $125. Calculate the percentage Ryan uses on gas from his take-home pay. please help!! O^O
Answers
Answer: 5%
Step-by-step explanation:
Since Ryan's take-home pay is $2,500 each month and the amount for gas is $125.
The percentage that Ryan uses on gas from his take-home pay will be:
= Amount used on gas / Take home pay × 100
= 125/2500 × 100
= 1/20 × 100
= 5%
He used 5% on gas.
165 x 0.38² to two decimal place
Answers
Answer:
23.83
Step-by-step explanation:
How do you do √1/3/5
Answers
Answer:
Write
1
as a fraction with a common denominator.
−
√
5
5
−
3
5
Combine the numerators over the common denominator.
−
√
5
−
3
5
Subtract
3
from
5
.
−
√
2
5
Rewrite
√
2
5
as
√
2
√
5
.
−
√
2
√
5
Multiply
√
2
√
5
by
√
5
√
5
.
−
(
√
2
√
5
⋅
√
5
√
5
)
Combine and simplify the denominator.
Tap for more steps...
−
√
2
√
5
5
Simplify the numerator.
Tap for more steps...
−
√
10
5
The result can be shown in multiple forms.
Exact Form:
−
√
10
5
Decimal Form:
−
0.63245553
…
()|[]√≥°
789≤θ
456
Can somebody help me with one of these i literally don’t get it.
Answers
Answer:
basically multiply the height and the base (area), using the two numbers shown. Just add for perimeter. Just use a calculator, no one really cares about doing it them selves
Step-by-step explanation:
Answer:
Step-by-step explanation:
Layna can paint a 350-square foot room in 4 hours. It takes Bebe 7 hours to paint the same room. Which equation can be used to find the time in hours, t, it takes Layna and Bebe to paint the room together?
Answers
I am 99% sure this is correct. Good luck
Answer:
A. 1/4t+1/7t=1
Step-by-step explanation:
How many more brooms must each earn in order to have enough credit to get a month off with pay?
Answers
Answer:
5
Step-by-step explanation:
Can someone please help me with this math problem please:):)
Answers
Answer:
y = 126° + 29° = 155°
Step-by-step explanation:
I think this may be a solution:
126°+29°=155°
So, y=155°
Which expression shows 3 decreased by the sum of 11 and a number? A. 3-(11+x) B. (11+x)-3 C. 3-11+x D. 3+11x
Answers
Answer:A
Step-by-step explanation:
Answer:
The correct answer Its A. 3-(11+x)
There are 5 people at a party. They decide to share 3 ice cream sandwiches equally.
Which model shows how much of the ice cream sandwiches each person will get?
C.
D
Answers
Answer:
your answer will be D. I think :)
Answer: d
i have the test
A woman is rowing a boat across a 60 wide river from west to east. She can row at 2 mph in still water, but the river's current is 5 mph from north to south. To the nearest foot, how far downstream on the east bank will she land?
Answers
Answer:
S, and the other day. I have been a while. I have a great drea the most important things. The may have to pay a fee of the most popular and I will not 66 the most of the most of my life. I was a bit of the best, but the 15th. I have been a while. I am your what is happening in the next couple days 6 the most of the most of the most
Step-by-step explanation:
popular and I will not be hurt by a friend of the day, and the other side, I think I have a great drea, I think I have been a while. I have been in touch. Thanks for the next day delivery. We have a great drea the same time. I was just the right place for the use of the most of the most popular and I am a beautiful person. The comments for your email.
The woman will land on the east bank of the river at a downstream of 37.5 miles.
What is meant by relative velocity ?Relative velocity of an object in motion is defined as the velocity of the object with respect to another object.
Here,
Width of the river, W = 60 miles
Velocity of the boat in still water, Vb = 2 mph
Velocity of river, Vr = 5 mph
Relative velocity of the boat with respect to river in downstream,
Vbr = Vb + Vr
Vbr = 8 mph
Drift of the boat, d = Vr W/Vbr
d = 5 x 60/8
d = 37.5 miles downstream
Hence,
The woman will land on the east bank of the river at a downstream of 37.5 miles.
To learn more about relative velocity, click:
https://brainly.com/question/19260269
#SPJ3
what is the value of x? 26 degrees tangent lines
Answers
Answer:
154°Step-by-step explanation:
The central angle and the angle between the tangents are supplementary, so
x + 26° = 180° ( subtract 26° from both sides )
26 - 26 = 0
180 - 26 = 154
x = 154°
The value of the x will be 154°.
How to find the interior central angle?The central angle and the angle between the tangents are supplementary.
If there is a circle O with tangent line L intersecting the circle at point A, then the radius OA is perpendicular to line L.
So,
x + 26° = 180°
Subtract 26° from both sides;
x + 26 - 26 = 180 - 26
x = 154°
Hence, the value of the x will be 154°.
Learn more about tangents ;
https://brainly.com/question/10024457
#SPJ2
Observa las siguientes imágenes formadas por círculos:
Figura 1 (un circulo) Figura 2 (5 círculos)
-¿Cuántos círculos tendrá la Imagen 10?
-¿Cuántos círculos más tendrá la imagen 12 respecto de la imagen 7? ¿Puedes saberlo sin necesidad de encontrar la cantidad de círculos de cada imagen? ¿Cómo?
Answers
2.la imagen 12 tendrá 45 puntos y la 7 tendrá 25 puntos
La diferencia de puntos entre la figura 7 y 12 serán seran 20 puntos
-si lo pude saber sin la necesidad de encontrar la cantidad de los círculos de las imágenes porque cada ves vamos agregando 4 puntos
Veremos que en la imagen 10 hay 37 circulos, y la diferencia entre las imagenes 12 y 7 es de 20 circulos.
¿Como encontrar el patrón?
Primero, debemos contar la cantidad de circulos que tenemos en las imagenes mostradas.
En la primera, tenemos 1 circulo.En la segunda, hay 5 circulos.En la tercera, hay 9 circulos.En la cuarta, hay 13 circulos.Entonces podemos ver que en cada imagen se agregan 4 circulos, es decir tenemos una secuencia aritmetica, de tal forma que la imagen número N tendremos:
[tex]C_N = 1 + (N - 1)*4[/tex]
Entonces, cuantos circulos hay en la imagen 10? para ver eso reemplazamos N por 10.
[tex]C_{10} = 1 + (10 - 1)*4 = 37[/tex]
¿Cuántos círculos más tendrá la imagen 12 respecto de la imagen 7?
Para ver esto calculamos:
[tex]C_12 - C_7 = (1 + (12 - 1)*4) - (1 + (7 - 1)*4) = 11*4 - 6*4 = 20[/tex]
Es decir, la image 12 tiene 20 circulos más que la imagen 7.
Sí quieres aprender más sobre secuencias, puedes leer:
https://brainly.com/question/7882626
The lenght of a turtles shell z, in millimeters, is related to the turtles age in years a , as described by the equation below.
s=55a+37
Which statements about the turtle are true?
Select 3
Answers
Answer:
B, C , F
Step-by-step explanation:
The age multiplied 55, so the shell grows at rate of 55mm per year
in fact if the age is 2 we have (55 x 2) = 55 + 55
if 3 = (55 x 3) = 55 + 55 + 55
and so on
When the turtle is hatched the shell is 37 mm in lenght.
In fact, if we substitute 0 to a, we have
s = (55 x 0) + 37
s = 37
when the turtle is 1 year old, the shell is 92 mm in length.
in fact if we substitu a with 1, we have
s = (55 x 1) + 37
s = 55 + 37
s = 92
Find the equation parallel to y = -x - 5 and passing through (-3, -3)
Answers
Answer:
y = -x - 6
Step-by-step explanation:
If it's parallel, then it means that the slope will remain the same. The slope is
-1.
To find the y-intercept, you need to plug the coordinates into the equation,
y = -1x + b
-3 = -1(-3) + b
-3 = 3 +b
-6 = b
The equation is y = -x - 6
can someone please help me with this?
Answers
Y=250+10c
The 250 is the b and the 10c is the mx
Arthur went to dinner. The meal cost $157 and
he wants to leave an 18% tip. How much money
should he leave for the tip?
Answers
Arthur should leave a $28.26 tip
log(x+4)=logX + log4
Answers
Answer:
log
(
x
+
4
)
=
log
(
x
)
+
log
(
4
)
=
log
(
4
x
)
, so
x
+
4
=
4
x
, hence
x
=
4
3
Step-by-step explanation:
Can someone please help me with math.
Answers
Answer:
c
Step-by-step explanation:
c
louise decided to purchase a new mountain bike when he saw the sporting good store was offering 20% off their bike. what is the total cost of the mountain bike if the originally price at $249 and louise must pay 7.5% sales tax
Answers
First off $249 x 20% = $49.8 so, $249- 49.8 = 199.2 ( the price after deducting the discount), 199.2 x 8% = 15.93 (this is the price of the tax), and 199.2 + 15.93 = $215.13 ( this is the price after the discount and with taxes) :D
:) ur thoughts on this???
Answers
Answer:
it looks dead ..............
PLEASE HELP THANK YOU
Answers
Answer:
thanks you too for having us
Question 5 (1 point)
Which statement about segregation in Arkansas following Reconstruction is true?
The United States Supreme Court supported segregation.
O Governor Clayton put a stop to segregation.
Only public transportation was segregated
The federal government resisted efforts to segregate.
Answers
Answer:
Step-by-step explanation:
The answer is the United states Supreme Court suported segreation
Eric carved this solid out of wood.
Find the volume of the solid
Answers
Answer:
3,456
Step-by-step explanation:
Just did the question and got it correct.
Hope this helps ;)
based on the table, what is the slope,m, and y-intercept , b , on the line that models this relationship?
Answers
Answer: slope: 180 y intercept: -360
I hope this helps!
If the diameter is 26 inches, what is the radius
Answers
Answer:
13 inches
Step-by-step explanation:
In any circle, the radius is always half of the diameter.
So, the diameter can be found by multiplying the radius by 2, and the radius can be found by dividing the diameter by 2.
Since the diameter is 26 inches, we can divide this by 2 to get the radius
26/2
= 13
The radius is 13 inches
Answer:
[tex] \bf \huge13[/tex]
Step-by-step explanation:
Given that : the diameter is 26 inches.to find :what is radius .formulas used :radius = diameter / 2explanation :we know that,
finding the radius
⟼ diameter = 26 inches
⟼ radius = diameter / 2
⟼ radius = 26 / 2 inches
⟼ radius = 13 / 1 inches
⟼ radius = 13 inches.
∴ radius is 13 inches .
2/5 of the flowers in Veronica's garden are marigolds. If there are 55 flower plants in her garden, how many marigold plants does she have?
Answers
Answer:Veronica has 22 marigold plants
Step-by-step explanation:
Total Number of flower plants in her garden=55
fraction of flower plants which are marigolds=2/5
Number of flower plants which are marigolds=2/5 x Total Number of flower plants in her garden
=2/5 x 55
=22
Tell whether the line or segment is the best described as a chord,a diameterdiameter,or a raduis of a circle
Answers
Answer:
37
Step-by-step explanation:
the diagram shows a track composed of a rectangle with a semicircle on each end. the area of the rectangle is 4,000 square meters. what is the perimeter of the track?
Answers
Answer:14400
160
=
90
Step-by-step explanation: 90
⋅
π
=
90
π
→
If you are using an approximation such as 3.14 for
π
, multiply that by 90
Add
160
⋅
2
to the circumference since the lengths of the rectangle are also part of the perimeter.
160
⋅
2
=
320
90
π
+
320
Find the measure of AC
Answers
Answer:
7 inch
Step-by-step explanation:
AC= BC+AB
= (BD-CD) + radius of B
= (radius of B-radius of D) + 4.5
=(4.5-2) +4.5
=2.5+ 4.5
=7 inch
I hope this is correct.