Answers
Answer:
x= 5
Step-by-step explanation:
Since RQ= PQ,
3x= 15
Divide both sides by 3:
x= 15 ÷3
[tex]\textcolor{red}{x = 5}[/tex]
[tex]\textcolor{steelblue}{\text{Prove for RQ}= \text{PQ}}[/tex]
Let SP= x
RS= SP= x (given)
Let SQ= y
Applying Pythagoras' Theorem,
In triangle QRS
(RQ)²= (RS)² +(SQ)²
(RQ)²= x² +y²
[tex]RQ = \sqrt{ {x}^{2} + {y}^{2} } [/tex]
In triangle QPS
(PQ)²= (SP)² +(SQ)²
(PQ)²= x² +y²
[tex]PQ = \sqrt{ {x}^{2} + {y}^{2} } [/tex]
Thus, RQ= PQ.
Answer:
Step-by-step explanation:
3x = 15
3x/3 = 15/3
x = 5
3(5) = 15
Related Questions
how do you do one step equations?
Answers
Let’s take x = -5 + 7 for example.
First, we need to remove -5. We can do this by adding 5 to -5 to make it zero. Since we added 5, we have to add 5 to seven. What ever you do on one side, you have to do to the other. 5 + 7 = 12. Now all that’s left on the equation is x = 12 and that would be your answer. Im not good at explaining things but I hope this helps you!
which trig ratio
determine which trig ratio to use to solve for x
Answers
Answer:
Step-by-step explanation:
1.cos
2.sin
3.cos
4.tan
5.sin
6.tan
Step-by-step explanation:
remember the basic trigonometry setup ?
the norm circle (radius = 1) with a horizontal and a vertical line through the center of the circle.
and then there is an angle at the center indicated by the horizontal line and an inclined (by that angle) radius line connecting the center and the circle arc.
this inclined radius line is then the baseline (Hypotenuse) of a right-angled triangle, and the legs of that triangle are sine and cosine of the angle at the center (sine is the vertical leg, cosine is the vertical leg).
in essence (at least it works for me), when given such right-angled triangle problems, I always try to rotate and/or flip this triangle until it looks like the described situation above.
the only other thing to remember is that for triangles inside circles with a different radius than 1, everything is multiplied by the actual radius (it really happens also for the norm circle, but multiplying by 1 does not really change anything, right ?).
so, now for the given problems :
1)
x is the radius of the circle.
we can make 68° the defining angle of that trigonometric situation. so, the top right vertex would be the center of the circle with radius x.
then
30 = cos(68)×x
x = 30/cos(68)
= 80.08401488...
2)
60 is the radius of the circle.
x is the defining angle.
then
15 = sin(x)×60
sin(x) = 15/60 = 1/4
x = 14.47751219...°
3)
x is the radius of the circle.
22° is the defining angle.
then
14 = cos(22)×x
x = 14/cos(22)
= 15.0994864...
4)
the unnamed side is the radius of the circle. let's call it "s".
54° is the defining angle.
then
47 = cos(54)×s
x = sin(54)×s
x/47 = sin(54)×s / (cos(54)×s) = sin(54)/cos(54) = tan(54)
x = 47×tan(54) or 47×sin(54)/cos(54)
= 64.68995026...
5)
14 is the radius of the circle.
41° is the defining angle.
then
x = sin(41)×14
= 9.184826406...
6)
the unnamed side is the radius of the circle. let's call it "s".
x is the defining angle.
then
57 = cos(x)×s
9 = sin(x)×s
9/57 = sin(x)×s / (cos(x)×s) = sin(x)/cos(x) = tan(x)
x = 8.972626615...°
What is 2+2 I think it’s still 2 but I am not sure yet
Answers
Answer:
it actually equals 5
Step-by-step explanation:
the reason it equals 5, is because there are 5 variables in there, so because of the addition sign, it becomes 1+1+1+1+1=5. you cannot prove me wrong.
Answer:
the correct answer is 4
Step-by-step explanation:
2 + 2 = 4
hope this helps
have an awesome day -TJ :)
What is the most common amount of hours students spent studying? (2 points)
A line plot with the title, time students spent studying, and the line is measured in hours. The horizontal line goes from one third to three. In between, there are seven tick marks labeled as two thirds, one, one and one third, one and two thirds, two, two and one third, two and two thirds. The tick mark one third has two xs, the tick mark two thirds has one x, the tick mark one has four xs, the tick mark one and one third has three xs, the tick mark one and two thirds has three xs, the tick mark two has five xs, the tick mark two and one third has three xs, the tick mark two and two thirds has two xs, and the tick mark three has two xs.
a
1 hour
b
one and one third hours
c
2 hours
d
3 hours
Answers
PLS HELP I WILL GIVE BRAINLESt TO THE PERSON WHO SOLVES ALL OF THE CORRECTLY
Answers
Answer:
m^4 - 225c^10 = (m^2 - 15c^5 )(15c^5 + m^2)
4.8xy + 36y^2 + 0.16x^2 = (6y + 0.4x)^2
Find the distance between the pair of points.
(-2,-18) and (-8,-22)
Answers
Answer:
7.21 units
Step-by-step explanation:
hope this helps!
HELP WILL MARK BRAINLIST AND 5 STARS
Answers
Answer:
10 feet
Step-by-step explanation:
We are trying to find Madison's height plus Jade's height...
Turn the fractions into improper fractions
So,
5 1/6 = 31/6
4 5/6 = 29/6
31/6 + 29/6 = 10 feet
or
5+4= 10 and 1/6+5/6 = 1
so the answer is 10 feet
PLEASE RATE!! I hope this helps!!!
If you have any questions comment below
geometry help me please
Answers
Answer:
2448
Step-by-step explanation:
because 12×12=144×17=2448
help please? with a working out would be nice
Answers
Answer:
280 cups total.
Step-by-step explanation:
Tricky. The explanation and answers are on attached images.
What is the value of x?
Answers
Step-by-step explanation:
By the secant tangent theorem,
21(21+25)=x^2
x^2 = 966
x = sqrt(996)
Simplify 3a+2(4a-b)
please simplify this equation
Answers
[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{topic= }{ \bf { \textcolor{orange}{mathematics= }{ \bf{ \textcolor{cyan}{answer = }}}}}}}[/tex]
3a+2(4a-b)=
3a+8a-2b=
[tex] \bf \textcolor{green}{ \underbrace{11a - 2b}}[/tex]
xLasersx✨A pair of pants has been marked down from $36 to $27.
Answers
Answer:
Step-by-step explanation:
The percentage decrease is 25% or 36 subtract 27 gives you 9
The mean of 5 numbers is 8.four of the numbers are 7,9,11 and 5.find the fifth number.
Answers
Answer:
8
Step-by-step explanation:
One way to solve problems involving the mean of a data set is to consider the way the numbers relate to the mean.
When we subtract the mean from the given numbers, we find the differences are ...
-1, 1, 3, -3
The sum of these differences is 0. The missing number will make the toal of all differences from the mean be zero. Since it is already zero, the missing number is the mean. The missing number is 8.
I need the answer please
Answers
Answer: sqrt(182)
Step-by-step explanation:
Please help as soon as possible
Answers
Answer:
[tex]9 \times 3 = 27 \\ 15 \times 6 = 90 \\ = 30.255 \\ 49 \times 3.14 = 153.86 \\ 153.86 + 30.255 + 27 = 211.115[/tex]
Find the area of the regular polygon. Give the answer to the nearest tenth.
hexagon with a side of 6 in.
Answers
Answer:
[tex]\displaystyle 93,5\:in.^2 \approx A[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{3\sqrt{3}}{2}a^2 = A \hookrightarrow \frac{3\sqrt{3}}{2}6^2 = A \\ \frac{3\sqrt{3}}{2}[36] = A; 54\sqrt{3}\:[or\:93,530743609...] \\ \\ \boxed{93,5 \approx A}[/tex]
I am joyous to assist you at any time.
PLEASE ANSWER I DONT KNOW THE ANSWER
Answers
Answer:
D. 201.1
Step-by-step explanation:
We see that the radius o the given circle is 16, so we do 16^2*pi
then we multiply that be 90/360
which rounds to 201.1
roblem #7
A system of linear equations is shown.
2y=6x+ 4
y = 3x-4
Explain how many solutions this system of equations has.
Answers
Answer:
no solution.
Step-by-step explanation:
1) in order to explain, the given system should be resolved:
[tex]\left \{ {{2y=6x+4} \atop {y=3x-4}} \right. \ < = > \ \left \{ {{y=3x+2} \atop {y=3x-4}} \right.[/tex]
2) the both equations have the same slope (it is 3), it means the given lines are parallel, then no solution.
Which graph matches? I'll give brainliest. and 100pts
Answers
Function:
[tex]\sf 2\left(3\right)^{x}+2[/tex]
Find y-intercept:
[tex]y=2\left(3\right)^{0}+2[/tex]
[tex]y=\sf 4[/tex]
option B is correct as it cuts y-intercept at 4
Answer:
This is a positive exponential graph with a y-intercept of 4 (when x is 0, y is 4)
Hope this helps!
evaluate the expression when c=9 and d=4. 5c+d
Answers
Answer:
5(9)+4= 45+4.....= 49
Step-by-step explanation:
Writing Equations of Parallel Lines
y
5
What is the equation of the line parallel to the given line
with an x-intercept of 4?
y =
4
V
3
2
-5 4 3 2 1
2
5
-1
-2
-3
-5
Intro
Done
Answers
Answer:
y = 4x -16
Step-by-step explanation:
The equation of the parallel line can be written from the given x-intercept when we know its slope. The slope will be the same as that of the graphed line. It can be found using the slope formula with the marked points (-3, -3) and (-1, 5).
m = (y2 -y1)/(x2 -x1)
m = (5 -(-3))/(-1 -(-3)) = 8/2 = 4 . . . . . slope of the lines
The point-slope equation for the line with slope 4 through point (4, 0) will be ...
y -k = m(x -h) . . . . line with slope m through point (h, k)
y -0 = 4(x -4) . . . . line with slope 4 through the given x-intercept
y = 4x -16 . . . . . . expanded to slope-intercept form
if i am 57 years old and i have known someone for 6 and a half years what percentage of my life have i known that person
Answers
Answer: 11.4%
Step-by-step explanation:
100% of your life is 57 years
?% will be 6.5 years?
this is a simple ratio problem:
57 --> 100%
6.5 ---> (6.5 x 100)/57 ≅ 11.4%
You have known the person for about 11.4% of your life.
A cube pyramid has 7 at its base and 9.4 for its height what is the answer?
Answers
Answer:
Assuming this is volume, the answer is 153.33
Step-by-step explanation:
In a cube pyramid, the sides of the base are all the same, so if one side is 7, all of them are seven. To find the area of the base, the formula Area=Length x Width is used. Because the base is a square, the formula is simplified into Area=Side Length x Side Length. This gives us 49. The next step is to multiply this base times the height, 9.4, which is 460.6. However, this is the volume of a rectangular prism with those dimentions. A pyramid is a third of a rectangular prism. So, the answer is multiplied by 1/3, which is 153.33.
Hope this helps
Hall makes 2 free throws for every 9 attempts. How many free throws can you expect hall to make if he shoots 45 times?
Answers
Answer:
10 free throws
Step-by-step explanation:
2/9 = ?/45
You can multiply 2 by 5 since multiplying 9 by 5 gives you 45
2x5=10
10/14
Hope this helps :)
a sphere and a cylinder have the same volume. each figure has a radius of 13. what is the height of the cylinder?
Answers
Answer:
V = 4/3 π R^3 volume of a sphere
V = π R^2 H volume of cylinder area of base X height
4/3 π R^3 = π R^2 H equal volumes
H = 4/3 R relationship of height to radius for cylinder
H = 4/3 * 13 = 52 / 3 cm = 17 1/3 cm
Sofia buys 3.8 pounds of potatoes for $0.85 per pound. Flynn buys 4.2 pounds of potatoes for $0.75 per pound.
How much more does Sofia spend than Flynn?
Answers
Answer:
Step-by-step explanation:
A. $0.08
Step-by-step explanation:
I would find out the total price of potatoes for each person:
Sofia: $0.85 x 3.8lb = $3.23
Flynn: $0.75 x 4.2lb = $3.15
To get the final answer, I would subtract to find the difference between the two prices.
$3.23 - $3.15 = $0.08
6x4y how do I solve this?.
Answers
Answer:
24y
Step-by-step explanation:
Multiple 6x4 to get 24
and then put the y in to
get your answer
solution÷
6×4y
6×4y=0
multiply 6×4y
24y=0
now send 24 to the right side and divide
y=0÷24
therefore,y=0
A tank that is 20% full contains 125 gallons of water. How many gallons would be needed to fill the entire tank? How many gallons are there if thetank was 30% full? What percent of the tabk is full if tgerd are 500 gallons?
Answers
Answer:
625
Step-by-step explanation:
becuase 20% is equivilant to 1/5 you need to multiply by 5 to get 1t or full.
part b: 187.5
part c: 125 gallons is 25%. this is because you can fit 4 of it into one 500 gallon tank
Answer:
625 gal, 187.5 gal, 80%
Step-by-step explanation:
[tex]\frac{125}{x}[/tex]=[tex]\frac{20}{100}[/tex] 125*100/20=625
[tex]\frac{x}{625}=\frac{30}{100}[/tex] 30*625/100=187.5 or 625*.3=187.5
[tex]\frac{500}{625}=\frac{x}{100}[/tex] 500*100/625=80
Darin planted 24 packets of seeds in his garden. He planted a combination of bean seeds and corn seeds. If Darin planted 8 packets of bean seeds, which set of steps can be used to find n, the number of packets of corn seeds Darin planted?
Answers
The number of packets of corn seeds Darin planted is 16 packets.
How to write and solve equationTotal packets of seeds = 24Packets of bean seeds = 8Packets of corn seeds = nThe equation:
Total Packets = Bean seeds + corn seeds
24 = 8 + n
subtract 8 from both sides24 - 8 = n
16 = n
Therefore, the number of packets of corn seeds Darin planted is 16 packets.
Learn more about equation:
https://brainly.com/question/2972832
Congruent vs. Similar Triangles
I really need an explanation on how to do this
Answers
Answer:
Cross multiply
Step-by-step explanation: