Answer:
w=5 x=2.1 y=5.4 z= 14.1
Step-by-step explanation:
w² = 13² - 12² = 25
w = 5
cos ∠1 = 12/13 = 13/(12+x)
12 (12+x) = 13 x 13 = 169
144 + 12x = 169
12x = 25
x = 25/12 = 2.08 = 2.1
∠1 + ∠2 = 90°
∠2 + ∠4= 90° ∠4 = ∠1
sin ∠4 = x/y = sin ∠1 = 5/13
5y = 13x
y = 13/5 x = 13/5 * 25/12 = 65/12 = 5.4
z = 12 + x = 12 + 2.08 = 14.08 = 14.1
What is the equation of the line that passes through (4,3) and (2, -1)?
y = 6x+4
y = 1/2 x -2
y = 2x-5
y = 4x -13
c
you need to find the slope and then y intercept
m=y2-y1/x2-x1
so m=2
now y intercept
3=2(4)+b
solve for b
u get -5
therefore
y=2x-5
Solving linear equation study island
Answer:
Step-by-step explanation:
(x-9)/5))(5) = 2(5)
answer is B
g(x) = 4f(x)
Is this a vertical or a horizontal translation
Answer:
this is a vertical
Step-by-step explanation:
What is the value of X?
-4x - 2 (12x - 12) = 10 (12 - 2x) for x
Show work/ say the steps plz.
1800 peoples came for the football match. If this number is correct to the nearest hundred , give the maximum and minimum number of people that could have come.
Answer:
Minimum value = 1750
Maximum value = 1849
Step-by-step explanation:
Given that:
Number of people who came for match = 1800 (to the nearest hundred)
The maximum. And minimum number of people who came are ;
When rounding to tbe nearest hundred , the tens value which is after the the hundred value is either rounded to 0 or 1 depending on whether the the value is below 5 or greater than or equal to 5 respectively.
Hence,
Minimum value = 1750
Maximum value = 1849
what is 6x to the 3rd power divided by (2x to the 4th power) to the 2nd power
Answer:
I’m pretty sure it’s just 3x^2
Step-by-step explanation:
6x^3/2x^4= 3x^-1
(3x^-1)2= 3x^2
Factor the following polynomial fully.
10x^2 + 16x – 8
A. 2(5x – 4)(x + 1)
B. (2x + 4)(5x – 2)
C.(10x – 8)(x + 1)
D.2(x + 2)(5x – 2)
1.008 +7.
2-5.92 +2.34
Answer: 4.628
Step-by-step explanation:
Jackie has a collection of stamps and coins. The total number of stamps and coins is 81. The number of coins is one more than three times the number of stamps. Find out how many stamps and coins Jackie has. Part A: Write let statements that represent the variables in this situation (2 points) Part B: Set up a system of equations that you can use to solve this problem? (2 points) Part C: Solve the system from (b) by using either substitution or elimination *show all solving steps*. (4 points) Part D: Write a solution statement answering the question
Answer:
Jackie collected 61 coins and 20 stamps
Step-by-step explanation:
Solving (a): Variable representation
Let the coins be represented with c
Let the stamps be represented with s
Solving (b): Setup equation
Total is 81. This implies that:
[tex]s + c = 81[/tex]
Also:
[tex]c = 1 + 3s[/tex]
Solving (c): Solve the system
Substitute 1 + 3s for c in [tex]s + c = 81[/tex]
[tex]s + 1 + 3s = 81[/tex]
Collect Like Terms
[tex]s + 3s = 81-1[/tex]
[tex]4s= 80[/tex]
Divide both sides by 4
[tex]s = \frac{80}{4}[/tex]
[tex]s= 20[/tex]
Substitute 20 for s in [tex]c = 1 + 3s[/tex]
[tex]c = 1 + 3 * 20[/tex]
[tex]c = 1 + 60[/tex]
[tex]c = 61[/tex]
Solving (d): Solution statement
Jackie collected 61 coins and 20 stamps
3 definitions of slope
My guys do you thing pls help I will give brainliest
Answer:
22
Step-by-step explanation:
A fireman's water hose shoots 320 kg of water each second against the door of a building. The velocity of the water is 20 m/s and the water strikes the door horizontally and doesnt bounce back. What average force is exerted by the stream of water?
Answer:
[tex]6400\ \text{N}[/tex]
Step-by-step explanation:
[tex]\dfrac{m}{t}[/tex] = Mass flow rate of water = 320 kg/s
[tex]m[/tex] = Mass of water on the door
[tex]t[/tex] = Time
[tex]v[/tex] = Velocity of water on the door = 20 m/s
Force is given by
[tex]F=\dfrac{m}{t}v\\\Rightarrow F=320\times 20\\\Rightarrow F=6400\ \text{N}[/tex]
The average force is exerted by the stream of water is [tex]6400\ \text{N}[/tex].
Please help I need it fast thanks!
Answer:
B
Step-by-step explanation:
Can anyone help me with this I need ASAP
*************MUST ANSWER!***************
Sebastian has a points card for a movie theater.
-He earns 85 points just for signing up.
-He earns 2.5 points for each visit to the movie theater.
-He needs 115 points for a free movie ticket.
Write and solve an Equation which can be used to determine v, the number of visits Sebastian must make to earn a free movie ticket.
Answer:
Look Down
Step-by-step explanation:
85+2.5v=115
2.5v=30
v=12
help me so much rn plz plz
Answer:
5(9+x)
Step-by-step explanation:
5 x 9 = 45
then if do 5 times x it would look like 5x
Please first person to answer question will be marked as branliest and will be given 5 likes
Please I beg u all
Answer:
A.) x=-3
B.) I have no clue I'm sorry I haven't learned anything over square method
Step-by-step explanation:
The distance a coiled spring stretches varies directly with the amount of weight hanging on the spring. If a spring stretches 2 cm when a 30 gram weight is hung from it, how far will it stretch when a 75 gram weight is hung from the spring?
Answer:
5 cm
Step-by-step explanation:
The distance a coiled spring stretches varies directly with the amount of weight hanging on the spring.
Distance = D
Weight = W
Hence:
D ∝ W
D = kW
Where k is constant of proportionality
Step 1
We solve for k
If a spring stretches 2 cm when a 30 gram weight is hung from it.
2 = 30k
k = 2/30
k = 1/15
Step 2
how far will it stretch when a 75 gram weight is hung from the spring?
D = kW
We are solving for D
k = 1/15
D = 1/15 × 75
D = 5 cm
The spring would stretch 5cm with a weight of 75 gram.
Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the length of a straight line between Calvin's house and the music school? Round to the nearest tenth.
Answer:
The answer is below
Step-by-step explanation:
Calvin school is 2.3 miles directly south of his house. After school, he takes a bus 1.8 miles west of his school to the sport complex.
a) What is the length of a straight line between calvins house and the sports complex? Round to the nearest tenth.
b) Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the length of a straight line between Calvin's house and the music school? Round to the nearest tenth.
Solution:
a) Calvin school, his house and the sport complex form a right angled triangle. The hypotenuse of the right angled triangle is the length of the line between Calvin's house and the sport complex. Let the length of the line between Calvin's house and the sport complex be x.
Using Pythagoras law for right angled triangle, we get that:
x² = 2.3² + 1.8²
x² = 8.53
x = √8.53
x = 2.9 miles to the nearest tenth
b) This forms a right angled triangle with the hypotenuse = length of a straight line between Calvin's house and the music school. one side of the triangle = 1.8 miles and the other side = 3.7 - 2.3 = 1.4 miles.
Let x = length of a straight line between Calvin's house and the music school. Hence:
x² = 1.8² + 1.4²
x² = 5.2
x = √5.2
x = 2.3 miles to the nearest tenth
hey can someone please please please help me asap?!
Answer:
slope=1
Step-by-step explanation:
Rise/Run
If you could help I would really appreciate it, but if not that’s fine. Thank you.
Suppose that y varies directly with x, and y=12 when x=15
Write a direct variation equation that relates x and y.
Find y when x=2
Answer:
[tex]y = 1 \frac{3}{5} [/tex]
Step-by-step explanation:
Please see the attached picture for the full solution.
My guys got me I will give brainliest
Answer:
58°
Step-by-step explanation:
A + B + C = 180 °
The smallest value of C is 91.
A + B = 89
A = 2B - 4
2B - 4 + B = 89
3B - 4 = 89
3B = 93
B = 31
A + 31 = 89
A = 58
Please help me I’ll mark you brainiest
Answer: A parallelogram has two parallel pairs of opposite sides. A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides.
Step-by-step explanation:
If we add the second equation to the first equation, we have a new
equation: 7c+8p=29.60. Explain why the same (c, p) pair that is a solution
to the two original equations is also a solution to this new equation.
Pls help asp this is due in a few hours !!!
Answer:
2
Step-by-step explanation:
solve the square root of 2x-5=x-4
Eva say it's $60 each week since she needs to save at least $2400 to go on a trip to Europe she will need to say 40 weeks
Answer:
The answer would be true.
Step-by-step explanation:
60*40=2400
Answer:
She will need to save for 40 weeks
Step-by-step explanation:
Item 9 Forty-five basketball players participate in a tournament. Write and solve an equation to find the number x of 3-person teams that they can form. An equation that represents this problem is =45. They can form 3-person teams.
Answer: See explanation
Step-by-step explanation:
Since forty-five basketball players participated in the tournament and a 3-person team wants to be formed, the equation to find the number x of 3-person teams that they can form will be:
3x = 45
x = 45/3
x = 15
Therefore, 15 3-person team can be formed.
Identify the function graphed.
Answer:
its B, A, C
Step-by-step explanation:
correct on edge