==================================================
Work Shown:
Make sure your calculator is in degree mode.
cos(angle) = adjacent/hypotenuse
cos(37) = 30/x
x*cos(37) = 30
x = 30/cos(37)
x = 37.5640697 approximately
x = 37.6
Solutions to a quadratic equation are -7 and 1. What is the equation of its axis of symmetry?
Answer:
Axis of symmetry: x=-4
Step-by-step explanation:
If x=-7 and x=-1 are solutions to a quadratic equation, then that quadratic equation must be (x+1)(x+7)=0 -> x^2+8x+7=0 as both solutions satisfy the Zero Product Property where the function is f(x)=x^2+8x+7. The axis of symmetry would be the line x=-b/2a which means the axis of symmetry is x=-(8)/2(1)=-8/2=-4 -> x=-4. It can also be found by turning f(x)=x^2+8x+7 into f(x)=(x+4)^2-9 by completing the square, and since h=-4, then the axis of symmetry would be x=h=-4. Refer to the graph.
ANSWER PLEASE I WILL MARK BRAINLIEST THANK YALL SO MUCH
Answer:
The answer is 95
Step-by-step explanation:
Three boys were playing balls. Ben's ball bounced eight more times than Menard's . Menard's ball bounced half as many times as Diego's. Diego's ball bounced eight times. How many times did Ben's ball bounced?
Answer:
12 bounce
Step-by-step explanation:
Let :
Number of Menard's bounce = x
Ben's bounce = x + 8
Diego's bounce = 2x
If Diego's bounce = 8
Then ;
2x = 8
x = 8/2
x = 4
Ben's bounce = x + 8
Ben's bounce = 4 + 8 = 12
I need help!!!! Please
the answer is
y≥2x/5+2
Step-by-step explanation:
we moved the y to the right site and the -10 to the left site
so we had
2x+10≤5y
and then we devided by 5
2x/5+10/5≤y
y≥2x/5+2
hopefully its correct
Answer: Choice D
[tex]y \ge \frac{2}{5}x +2\\\\[/tex]
=======================================
Work Shown:
[tex]2x - 5y \le -10\\\\-5y \le -2x-10\\\\y \ge \frac{-2x-10}{-5} \ \text{ ... see note1 below}\\\\y \ge \frac{-2x}{-5} - \frac{10}{-5}\\\\y \ge \frac{2}{5}x +2 \ \text{ ... answer is choice D}\\\\[/tex]
Note1: when dividing both sides by a negative number, the inequality sign flips.
----------------
Here's another approach that doesn't involve dividing both sides by a negative number.
[tex]2x - 5y \le -10\\\\2x \le -10+5y\\\\2x +10\le 5y\\\\5y \ge 2x+10 \ \text{ .... see note2 below}\\\\y \ge \frac{2x+10}{5}\\\\y \ge \frac{2x}{5} + \frac{10}{5}\\\\y \ge \frac{2}{5}x +2\\\\[/tex]
Note2: I swapped the left and right sides. Doing this swap means that the inequality sign must flip as well.
Select the three statements that are true. A. -11 > -6 B. -5 > -7 C.-4 > -6 D. -9 > 7 E. 8 (-1 F. -5 -4
plss answer
Answer: B, C, And F
Step-by-step explanation:
My answer is correct because, for the negative numbber whatever is close to 1 like -1 is greater then the other negative number.
#[tex]AnimePower[/tex]
The circumference of a circular painting is 43.96 feet. What is the diameter of the painting? Use 3.14 for π and do not round your answer.
Answer:
14 feet
Step-by-step explanation:
c = πd
Plug in the givens
43.96 = 3.14d
Divide both sides by 3.14
14 = d
Answer:
Diameter = circumference ÷π
43. 96÷3. 14 =14 feet
How much change did she receive?
Answer:b ryry
Step-by-step explanation:
Answer:
8.67dollars
Step-by-step explanation:
20-3.25-3.79-4.29=8.67
Put the values into the correct order from GREATEST on the top to LEAST on the bottom.
9514 1404 393
Answer:
C, D, B, A
Step-by-step explanation:
The values shown are ...
-π ≈ -3.14√5 -5 ≈ -2.76√9+√2 ≈ 4.418/3 ≈ 2.67So, from greatest to least, the values are ...
√9 +√2 ≈ 4.41
8/3 ≈ 2.67
√5 -5 ≈ -2.76
-π ≈ -3.14
hello please help i’ll give brainliest
Answer:
Option B) His teachings became government philosophy.
Answer:
His teachings became government philosophy ..
hope it is helpful to you.
Rectangle JKLM is shown.
To the nearest tenth of a
entimeter, what is the distance from j to M?
A
5.0 cm
B
10.2 cm
С
15.3 cm
D
21.0 cm
Answer:
B
Step-by-step explanation:
We can use the Pythagorean theorem to solve this.
(13)^2 = (8)^2+x^2
169 = 64 + x^2
x^2 = 105
x is approximately 10.2, so B
7/8 = m - 5/12 What is m?
Answer:
31/24 or 1.29
Step-by-step explanation:
First isolate m to one side of the equation
7/8+5/12=m
21/24 + 10/24=m
31/24=m or you can simplify to get 1.29
help!!!!!! algebra 1
Answer:
f(8) = 195
Step-by-step explanation:
When the x if f(x) is replaced with an 8, this just means that it is the eighth term. All you really have to do is replace every X in the function to find the answer.
f(8) = 3 + 3(8)²
f(8) = 3 + 3(64)
f(8) = 3 + 192
f(8) = 195
Hope this helps!
Answer:
195
Step-by-step explanation:
plug 8 =x into the equation
SOMEONE HELP ME PLSSS ASAP
Select all the sets of conditions that will create only one unique triangle.
Anita's father is 5 ft. 9 in. tall, How many inches tall is anita's father
Answer:
He would be about 69 inches
Answer:
69 inches tall
Step-by-step explanation:
add 5ft = 60 inches + the other 9 inches which is
69 inches all together
Which number is closest to the value of the upper quartile?
Answer:
180 is closest to upper quartile
Step-by-step explanation:
1) Sales tax in Pennsylvania is 6%. Carlos bought a mountain bike that costs $125.50 before tax. What was the cost of the new bike including sales tax?
Answer:
I’m pretty sure the answer is 113.03
Substitution
y=7x+3
Answer: x= 1/7 y + -3/7
Step-by-step explanation:
y=7x+3
Step 1: Flip the equation.
7x+3=y
Step 2: Add -3 to both sides.
7x+3+(−3)=y+(−3)
7x=y−3
Step 3: Divide both sides by 7.
i really don't get it
Answer:
D
Step-by-step explanation:
I don't know how to do it I used an app
The probability of winning a game is
2/5
What is the probability of losing the game?
Answer:
3/5
Step-by-step explanation:
5/5-2/5=3/5
last month you spend $50 on clothing this month you spend 110% of what u spend last month
Answer:
If you spend 110% more you would have spent 105 dollars. 110 percent of 50 is 55 so I added that to the orginal amount to get what you would have spent if you spent 110 percent more
Laura lleno su pecera hasta la mitad 40 cm de altura 60 cm de ancho 20 cm dekargo cuanto espacio ocupa la pecera
Answer:
La pecera ocupa 48.000 centímetros cúbicos de espacio.
Step-by-step explanation:
Dado que Laura lleno su pecera hasta la mitad, y la misma mide 40 cm de altura, 60 cm de ancho y 20 cm de largo, para determinar cuánto espacio ocupa la pecera se debe realizar el siguiente cálculo, sabiendo que el volumen de un prisma rectangular surge de multiplicar su altura por su longitud y su anchura:
40 x 60 x 20 = X
2400 x 20 = X
48000 = X
Por lo tanto, la pecera ocupa 48.000 centímetros cúbicos de espacio.
Equation that represents four more than x is twelve
A trapezoid has an area of 140 square centimeters with bases of 12 and 10 centimeters. What is the length of the height? Round to the nearest tenth place.
Answer:
12.7 cm
Step-by-step explanation:
Area of a trapezium = 1/2 x ( a + b) x height
a and b represents the bases
140 = 1/2 x (12 + 10) x h
140 = 11h
h = 140 / 11
h = 12.727 cm
h = 12.7 cm to the nearest tenth
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
The height h and the base area B of a cylinder are given. Find the volume of the cylinder. Write your answer in terms of it. h=2 units B=25pi symbol square units
here's the solution,
[tex] \boxed{\small{volume = area \: \: of \: base \: \: \times height}}[/tex]
so,
=》
[tex]v = 25\pi \times 2[/tex]
=》
[tex]v = 50\pi[/tex]
if you solve for π then the value will be :
157but in terms of π the value will be :
50 πThe volume of the cylinder is 157 unit³.
What is volume?The amount of space occupied by a three-dimensional figure as measured in cubic units.
Given: B= 25π, h= 2 units
Base area= 25π
πr²= 25π
r²=25
r=±5 units
Now, Volume of cylinder= πr²h
= 3.14* 5* 5* 2
= 157 unit³
Hence, the volume of cylinder is 157 unit³.
Learn more about volume of cylinder here:
https://brainly.com/question/16134180
#SPJ2
16. What is the image of (2, -2) rotated 270° counterclockwise about the origin?
A (-2,-2)
B (-2, 2)
C (2,-2)
D (2, 2)
w
Actividades.
Iniciamos la clase leyendo atentamente la
siguiente situación
Joaquin compró un tanque para agua que tiene
forma de prisma rectangular, cuyas dimensiones
son √5m, √6m y √ 10m
¿Cual es el volumen del tanque de agua?
. Ancho- √5m
Largo - √6m
Altura - √10m
Answer:
ancho de ese culotote
Step-by-step explanation:
what is the volume of the rectangular prism
Answer:
it might be 7yd^3 im not to sure.
Step-by-step explanation:
one solution of x^2 - 64 = 0 is 8. what is the other solution
Answer:
- 8
Step-by-step explanation:
Given
x² - 64 = 0 ( add 64 to both sides )
x² = 64 ( take the square root of both sides )
x = ± [tex]\sqrt{64}[/tex] = ± 8
Solutions are x = 8 and x = - 8
A high school basketball coach is selecting his team. The minimum and maximum height requirements are as follows:
Point Guard: Small Forward: Center:
6’2" – 6’6" tall at least 6’6" tall at least 6’8" tall
The heights of the Lincoln High School boys have a normal distribution with a mean height of 70 inches and the standard deviation of 4 inches.
Which statement is true?
A. About 16% of the boys are eligible to be a point guard on the team. B. About 2% of the boys are eligible to be a small forward on the team. C. About 48% of the boys are eligible to be a small forward on the team. D. About 34% of the boys are eligible to be a point guard on the team.
Answer:
B. About 2% of the boys are eligible to be a small forward on the team
Step-by-step explanation:
Recall : 1 feets = 12 inches
Point guard = 6’2" – 6’6" tall = 74 - 78 inches
Mean = 70 ; Standard deviation = 4
Z = (x - mean) / standard
P(x < 74) = (74 - 70) / 4 = 1
P(x < 78) = (78 - 70) / 4 = 2
0.97725 - 0.84134 = 0.13591
Small forward : 6'6" = 78 inches
P(x ≥ 78) = (78 - 70) / 4 = 2
P(z ≥ 2) = 0.02275 = 2.275% about 2%
Centre : 6'8" = 80
P(x ≥ 80) = (80 - 70) / 4 = 2.5
P(z ≥ 2.5) = 0.0062097 = 0.62%
About 2% of the boys are eligible to be a small forward on the team. Then the correct option is B.
What is a z-score?The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
A high school basketball coach is selecting his team.
The minimum and maximum height requirements are as follows:
Point Guard: Small Forward: Center:
6’2" – 6’6" tall at least 6’6" tall at least 6’8" tall
The heights of the Lincoln High School boys have a normal distribution with a mean height of 70 inches and a standard deviation of 4 inches.
The value of the z-score will be
[tex]z = \dfrac{x - \mu }{\sigma}[/tex]
[tex]P(x < 74) = \dfrac{74-70}{4} = 1 \\\\P(x < 78) = \dfrac{78-70}{4} = 2[/tex]
0.97725 - 0.84134 = 0.13591
Small forward: 6'6" = 78 inches
[tex]P(x \geq 78) = \dfrac{78- 70 }{4} 2\\\\\\P(z \geq 2) = 0.02275 = 2.275 \%[/tex]
Centre: 6'8" = 80 inches
[tex]P(x \geq 80) = \dfrac{80- 70 }{4} 2\\\\\\P(z \geq 2.5) = 0.0062097= 0.62 \%[/tex]
More about the z-score link is given below.
https://brainly.com/question/13299273