= 57 yards.
Step-by-step explanation:
95 yards is the diagonal of the field
76 yards is the length
Find the width.
This set-up will for a right angled triangle with a length of 76 yards and Hypotenuse of 95 yards. Therefore the height will represent the width of our Rectangle.
[tex]{b}^{2} = {c}^{2} - {a}^{2} \\ {b}^{2} = {95}^{2} - {76}^{2} \\ {b}^{2} = 9025 - 5776 \\ \sqrt{ {b}^{2} } = \sqrt{3249} \\ b = 57yards[/tex]
Full working out for this question please.
Answer:
(0. - 11 )
Step-by-step explanation:
To find the y- intercept let x = 0 and solve for y, that is
y = - 3(0)² - 7(0) - 11 = 0 - 0 - 11 = - 11
y- intercept = (0, - 11 )
Given m LM=130, find m KLM
Answer:
65 degrees because tangent chord angles are half the size of the arc
En su cuenta bancaria, Sally tiene un saldo de -\$200.90−$200.90minus, dollar sign, 200, point, 90. Su amiga Shannon tiene un saldo bancario de -\$240.55−$240.55minus, dollar sign, 240, point, 55. ¿La cuenta bancaria de cuál amiga tiene más deuda
Answer:
Shannon
Step-by-step explanation:
Cuando se habla de lo que uno tiene, podemos usar números positivos.
Por ejemplo:
Pedro tiene 10 manzanas.
Para el caso de deudas, utilizamos números negativos, por ejemplo:
Pedro tiene -10 manzanas
Lo cual significa que Pedro debe 10 manzanas a alguien.
Entonces si le diéramos a Pedro 12 manzanas, el ahora tendría:
-10 + 12 = 2
Pedro tiene 2 manzanas, porque tuvo que entregar 10 de las 12 que le dimos para pagar su deuda.
Ahora vamos a resolver el problema:
La cuenta de Sally tiene un saldo de:
S = -$200.90
El signo negativo quiere decir que Sally tiene una deuda de $200.90
La cuenta de su amiga Shannon tiene un saldo de:
S' = -$240.55
De vuelta, el signo negativo quiere decir que Shannon tiene una deuda de $240.55
Con esto ya podemos concluir que la deuda de Shannon es mayor, por lo tanto Shannon es la que tiene más deuda.
Instructions: Find the missing segment in the image below.
Triangle with a missing segment.
Answer:
x=44
Step-by-step explanation:
20/x=30/22+x
20x+440=30x
440=10x
x=44
Graph the linear equation: y = (2/3) x, by creating a t-chart to plot the points. Show all of your work,
attach your t-chart and a labeled graph for full credit.
Answer:
Step-by-step explanation:
Given linear equation is,
y = [tex]\frac{2}{3}x[/tex]
t-chart Or table for the input-output values,
y -2 0 2 4
x -3 0 3 6
Now we have to plot the ordered pairs given in the table,
(-3, -2), (0, 0), (3, 2), (6, 4)
Ferris started to bike the 4 1/3 miles to school. After 3/5 mile, he stoppedto talk to a friend. How mush farther did he have to go to get to school?
Answer:
3 11/15 miles
Step-by-step explanation:
4 1/3 - 3/5
4 5/15 - 9/15
3 20/15 - 9/15
3 11/15 miles
For this exponential function,
what is the output value (y),
when the input value (x) is 3?
y = 10.5x.
(3, [?])
Replace x with 3 and solve:
10 x 5^3
Simplify:
10 x 125 = 1250
Answer: y = 1250
(3 , 1250)
Step-by-step explanation:I got it right on my test.
please help me! asap!
Answer:
First option
Remove 2 tiles
Jin runs a 50-meter dash, he runs 6 times a day. Last week he ran 4 day and this week he ran 5 days in these 2 weeks how many kilometers did he run
Answer:
2.7 kilometers
Step-by-step explanation:
Distance per run = 50 meters
Number of run per day = 6
Distance run per day = Distance per run * Number of run per day
= 50 meters * 6
= 300 meters
Last week he ran 4 day
Total distance run last week = Distance run per day * number of days
= 300 meters * 4
= 1200 meters
this week he ran 5 days
Total distance run this week = Distance run per day * number of days
= 300 meters * 5
= 1500 meters
Total distance for two weeks = Total distance run last week + Total distance run this week
= 1200 meters + 1500 meters
= 2700 meters
1000 meters = 1 kilometer
2700 meters = 2700/1000
= 2.7 kilometers
Total distance for two weeks = 2.7 kilometers
Find the value of each variable
Answer:
Step-by-step explanation:
30
Find the length of x
. Assume the triangles are similar.
Answer:
44
Step-by-step explanation:
the smaller triangle is multiples of 9
(9, 18, 27, 36, 45, etc.)
and the bigger triangle is multiples of 11
(11, 22, 33, 44, 55, etc.)
Answer:
44
Step-by-step explanation:
22÷18=11/9
33÷27=11/9
x÷36=11/9
x=11/9×36
x=44
The radius of the base of this right circular cone is 10 centimeters and the slant height of the cone is 25 centimeters. What is its surface area? Leave your answer in terms of
OA) 100 cm OC) 350 cm? OB) 250 cm OD) 6257 cm
Answer:
C.) [tex]350\pi[/tex] [tex]cm^{2}[/tex]
Step-by-step explanation:
Since we are given the radius of the cone's base and the slant height, we can use the following equation to solve for surface area:
[tex]A = \pi r^{2} + \pi rl[/tex]
Now we just plug in the given information and solve:
[tex]A = \pi (10cm)^2 + (\pi) (10cm)(25cm)\\A = 100\pi cm^2 + 250\pi cm^2\\A = 350\pi cm^2[/tex]
The integer to represent a withdrawal of $25 would be____.
-25
+25
Answer:
-25
Step-by-step explanation:
Withdrawal means to take out. So you're taking out $25 out of your account, therefore it would be a negative.
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The integer to represent a withdrawal of $25 would be -$25.
Option A is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Amount withdrawal = $25
The integer to represent a withdrawal of $25 would be -$25.
Because withdrawal means we are taking the amount out of our account.
Thus,
The integer to represent a withdrawal of $25 would be -$25.
Option A is the correct answer.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
The graph of a line is shown below. What is the equation of the line, in slope-intercept form, that is parallel to this line and has a y-intercept of 1?
Answer:
[tex]y = - \frac{3}{2} x + 1[/tex]
Step-by-step explanation:
Slope -intercept form: y= mx +c, where m is the slope and c is the y-intercept.
Parallel lines have the same slope. Let's find the slope of the given line.
Given points: (-2, 0) and (0, -3)
[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]
slope of given line
[tex] = \frac{0 - ( - 3)}{ - 2 - 0} [/tex]
[tex] = \frac{0 + 3}{ - 2} [/tex]
[tex] = - \frac{3}{2} [/tex]
[tex]y = - \frac{3}{2} x + c[/tex]
Given that the y- intercept is 1, c= 1.
[tex]y = - \frac{3}{2} x + 1[/tex]
Which graph represents a function?
Answer:
The second one
Step-by-step explanation:
This is because when you do the vertical line test none of the lines should intersect more then one point. Remember in a function every x-value (input) has only one y-value (output).
Can anyone help plz?
Answer:
just add a small amount and and square the new number
between 2.82 and 2.83 seems a bit closer
Step-by-step explanation:
x x^2
2.8 7.84
2.81 7.8961
2.82 7.9524
2.83 8.0089
2.84 8.0656
2.85 8.1225
2.86 8.1796
2.87 8.2369
What is mL in LMN? Round only your final answer to the nearest degree.
Answer:
∠ L ≈ 52°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosL = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{LM}{LN}[/tex] = [tex]\frac{8}{13}[/tex] , then
∡ L = [tex]cos^{-1}[/tex] ([tex]\frac{8}{13}[/tex] ) ≈ 52° ( to the nearest degree )
a student walks 50m on a bearing 0.25 degrees and then 200m due east how far is she from her starting point.
Answer:
Step-by-step explanation:
I'm going to use Physics here for this concept of vectors. Here are some stipulations I have set for the problem (aka rules I set and then followed throughout the problem):
** I am counting the 50 m as 2 significant digits even though it is only 1, and I am counting 200 as 3 significant digits even though it is only 1. 1 sig dig doesn't really give us enough accuracy, in my opinion.
** A bearing of .25 degrees is measured from the North and goes clockwise; that means that measured from the x axis, the angle is 89.75 degrees. This is the angle that is used in place of the bearing of .25 degrees.
** Due east has an angle measure of 0 degrees
Now let's begin.
We need to find the x and y components of both of these vectors. I am going to call the first vector A and the second B, while the resultant vector will be C. Starting with the x components of A and B:
[tex]A_x=50cos(89.75)[/tex] so
[tex]A_x=.22[/tex]
[tex]B_x=200cos(0)[/tex] so
[tex]B_x=200[/tex] and we need to add those results together. Due to the rules for adding significant digits properly, the answer is
[tex]C_x=200[/tex] (and remember I am counting that as 3 sig fig's even though it's only 1).
Now for the y components:
[tex]A_y=50sin(89.75)[/tex] so
[tex]A_y=50[/tex] (which I'm counting as 2 sig fig's)
[tex]B_y=200sin(0)[/tex] so
[tex]B_y=0[/tex] and we need to add those results together.
[tex]C_y=50[/tex]
Now for the resultant magnitude:
[tex]C_{mag}=\sqrt{(200)^2+(50)^2}[/tex] and that gives us a final magnitude of
[tex]C_{mag}=206[/tex] m
Now for the angle:
Since both the x and y components of the resultant vector are in quadrant 1, we don't need to add anything to the angle to get it right, so
[tex]tan^{-1}(\frac{50}{200})=14[/tex]
The girl is 206 meters from her starting point at an angle of 14 degrees
solue for x
X(3 + X) = 3x + x²
Answer:
here,
3x-3x=
[tex] {x}^{2} - {x}^{2} [/tex]
x=0
32 x square Y - 2 y cube
Answer:
207y
Step-by-step explanation:
Helpppppppp pleaseeee
Answer:
5
Step-by-step explanation:
median means the number in the middle
For several weeks, the function f(x) = 3(4)* represented the number of birds
infected with an illness x weeks after the first birds became sick. How did the
number of sick birds change each week?
A. The number quadrupled each week.
B. The number increased by 4 each week.
C. The number increased by a factor of 3 each week.
D. The number increased by 3 each week.
SUBMI
Please do this ASAP!
NO LINKS
it’s about inequality’s
Answer:
x ≤ 6
Step-by-step explanation:
Given
- 12x ≥ - 72
Divide both sides by - 12, reversing the symbol as a result of dividing by a negative quantity.
x ≤ 6
Find the value of x. Round to the nearest tenth
Answer:
70.5
Step-by-step explanation:
Refer to attached image
What is the area of this figure?
Answer:
Step-by-step explanation:
if you connect the 2 pointy parts of this shape at the top, what you have is a square. That means that the cut out part is a half circle. To find the area of the shaded portion, subtract the area of the half circle from the area of the square. Let's start with the square, cuz that's the super easy one.
A = s*s so
A = 64 in squared.
Now for the half circle. Let's just do this: let's find the area of the whole circle and then cut it in half, how about?
If the length of one of the sides is 8, then half that length is 4, right? Since the circle is touching the sides of the square, the diameter of the circle is the same as the measure of the side of the square. That means that the radius is 4. The area for the circle is
[tex]A=\pi r^2[/tex] and filling in:
[tex]A=(3.14)(4^2)[/tex] so
A = 50.24 in squared. Divide that in half and the area of half the circle is 25.12 in squared.
Subtract 25.12 from 64 to get 38.88 in squared
3. Arcadia, decides to offer two different options for payment.
Option 1
No admission fee
$15 admission fee
and
Option 2
$5 / game
$6/game
a. Write an equation to represent the total cost of a day spent gaming at Arcadia for Option 2.
the total cost of the day would be
Answer:
[tex]Total = 15 + 6 x[/tex]
Step-by-step explanation:
Given
Option 1
[tex]Admission = 0[/tex]
[tex]Rate = \$5/game[/tex]
Option 2
[tex]Admission = 15[/tex]
[tex]Rate = \$6/game[/tex]
Required
The total cost for option 2
This is calculated as:
[tex]Total = Admission + Rate * x[/tex]
Where:
[tex]x \to[/tex] games
So, we have:
[tex]Total = 15 + 6 * x[/tex]
[tex]Total = 15 + 6 x[/tex]
HELP PLEASE SO I CAN MOVE ON
find the measure of the indicated angle to the nearest degree
Answer:
16
Step-by-step explanation:
[tex] \tan(x) = \frac{13}{46} [/tex]
[tex] \tan {}^{ - 1} ( \frac{13}{46} ) = 16[/tex]
Find f(-1) when f(x) = x 2 - 5x - 3
Answer:
f(- 1) = 3
Step-by-step explanation:
To evaluate f(- 1) substitute x = - 1 into f(x) , that is
f(- 1) = (- 1)² - 5(- 1) - 3 = 1 + 5 - 3 = 3
Answer:
Step-by-step explanation:
f(-1) =(- 1)^2 - 5.(-1) - 3 = 3Factorise : 4z² - 16z + 15
Answer:
(2z-5)(2z-3)
if the "A" term in a quadratic Ax^2 + Bx + C is NOT a "1"
first check to see if there is a commpon factor of a,b,c that can be pulled out
for example 2x^2 + 4x + 6 you can pull
out a 2.... 2(x^2 + 2x +3)
if not you multiply the values a*c
in you case 4*15 which is 60
now you factor the 60
1*60
2*30
-1*-60
-2*-30
10*6
-10*-1
etc
when you find the combination that ADDS UP TO THE B TERM
you rewrite the B term using the factors you forud...
SO -16z becomes -10z - 6z
put it in the original problem
4z^2 -10z - 6z + 15
if you get this far , the GROUPS WILL ALWAYS WORK
pull out a 2z from "4z^2 -10z"
and pull out a -3 from "- 6z + 15"
and magically you will see that the "left over stuff" is the same
2z(2z-5) -3(2z-5)
pull out common item
(2z-5) (2z-3) ... all done
Step-by-step explanation:
multiple AC ... 15*4 = 60
factor 60 to end up with -16
-10 * -6 = 60
rewrite (factor by grouping)
4z^2 -10z - 6z + 15
find groups
2z(2z-5) -3(2z-5)
(2z-5)(2z-3)
Make a histogram, using a bin width of ten, to display the bowling scores for these 31 players: 87, 104, 79, 94, 117, 82, 72, 116, 105, 95, 88, 93, 109, 119, 75, 103, 112, 97, 73, 85, 91, 86, 102, 99, 106, 84, 98, 83, 81, 96, 92.
Step-by-step explanation:
Using R, I used the following code to create a histogram:
bowling.scores <- c(87, 104, 79, 94, 117, 82, 72, 116, 105, 95, 88, 93, 109, 119, 75,
103, 112, 97, 73, 85, 91, 86, 102, 99, 106, 84, 98, 83, 81, 96, 92)
data.frame(bowling.scores)
ggplot(data.frame(bowling.scores), aes(x=bowling.scores)) +
xlim(c(70, 120)) +
scale_y_continuous(breaks = seq(0, 10, by=1), "Frequency") +
geom_histogram(breaks=seq(70, 120, by=10), color="black", fill="grey60") +
labs(title="Histogram of Bowling Scores", x="Bowling Scores", y="Frequency")