Answers
Answer:
30-60-90
Step-by-step explanation:
A 30-60-90 triangle is a right angled triangle
Please mark it as brainliest if it helped
Answered by Gauthmath
Answer:
A (30 - 60 - 90) right triangle has the side ratios: [tex]x, x\sqrt{3}, 2x[/tex].
Step-by-step explanation:
A right triangle with the angle measures (30 - 60 - 90) is often referred to as a special right triangle becaase its sides follow the following ratio,
The side; Angle it's opposite to;
[tex]x[/tex] 30
[tex]x\sqrt{3}[/tex] 60
[tex]2x[/tex] 90
Related Questions
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
Answers
What's 672 divided by 32
Answers
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
Answers
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]
Instructions: Find the missing segment in the image below.
Triangle with a missing segment.
Answers
Answer:
x=44
Step-by-step explanation:
20/x=30/22+x
20x+440=30x
440=10x
x=44
The point slope form of the equation off the line that passes through (-4, -3) and (12, 1) is y -1=1/4(x-12). What is the standard form of the equation for this line ?
Answers
Y-1=1/4x-3
Y=1/4x-3+1
Y=1/4x-2
Now write it in standard form ax+by+c
-1/4x+y=-2
It’s better not to have a negative in front so y-1/4x=-2
You have two squares. The larger square has a side of 3 more than the smaller square. If the combined area of the two squares is 89 cm squared. What is the length of the smaller square.
A. 3
B. 5
C. 8
D. 10
Answers
B. 5
Basically I tested each answer choice and see if all the information matches it.
Lets check how my answer is correct:
We know that:
The length of the bigger square is 3 more than the smaller square’s length.
The areas of both squares add up to 89 cm^2
length of the SMALLER square is: 5 cm
length of the LARGER square:
5 + 3 = 8 cm
Area of smaller square:
5^2 = 25 cm^2
Area of bigger square:
8^2 = 64 cm^2
ADD UP BOTH AREAS OF SQUARES:
25 + 64 = 89 cm^2
Hope this helps!
let the side of the smaller square is a cm then larger square has sides a+3 cm
The sum of the area of two squares is 89 square centimeters.
so a^2+(a+3)^2=89
or a^2+a^2+9+6a=89
or 2a^2+6a-80=0
or a^2+3a-40=0
or a^2+8a-5a-40=0
or a(a+8)-5(a+8)=0
or (a+8)(a-5)=0
or a+8=0=> a=-8 rejected for -ve value
then (a-5=0 =>a=5 the side of the smaller square
& the sides of the larger square is 3+5=8 cms
ans
Whats different for the functions
Answers
10^x
And with the g(x), you’ll get 10^(x+4). But if it were out of the parentheses, 10^x + 4 then it would shift upward 4 units.
please help me! asap!
Answers
Answer:
First option
Remove 2 tiles
Factorise : 4z² - 16z + 15
Answers
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)
Question 3 of 10
Which of the following is(are) the solution(s) to |15x+2| = 8?
Answers
Answer:
x = 6/5 x = -2
Step-by-step explanation:
|5x+2| = 8
There are 2 solutions
5x+2 = 8 and 5x+2 = -8
Subtract 2 from each side
5x+2 -2 = 8-2 and 5x+2-2 = -8-2
5x= 6 5x = -10
Divide by 5
5x/5 = 6/5 5x/5 = -10/5
x = 6/5 x = -2
Answer:
b
Step-by-step explanation:
|5x+2|=8
1) |5×(-2)+2|=8
|-10+2|=8
|-8|=8
8=8
2) |5×6/5+2|=8
|6+2|=8
|8|=8
8=8
Helpppppppp pleaseeee
Answers
Answer:
5
Step-by-step explanation:
median means the number in the middle
2/5 divided by 8/5 .......
Answers
1/4
Step-by-step explanation:
2/5 divided by 8/5
Multiply 5 by 2 then 5 by 8
10/40
Simplify 10/40
10/40 = 1/4
Answer:
1/4
Step-by-step explanation:
2/5 divided by 8/5 is the same as 2/5 * 5/8. we cross out the same 5's to get 2/8. We simplify that to 1/4.
1/4 is our answer.
Will Mark Brainlest helpppp
Answers
Answer:
R = [tex]\left[\begin{array}{ccc}-3&-2\\1&-3\\\end{array}\right][/tex]
Step-by-step explanation:
P - Q + R = I ( I is the identity matrix )
[tex]\left[\begin{array}{ccc}2&4\\3&5\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}-2&2\\4&1\\\end{array}\right][/tex] + R = [tex]\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex] ( subtract corresponding elements )
[tex]\left[\begin{array}{ccc}2-(-2)&4-2\\3-4&5-1\\\end{array}\right][/tex] + R = [tex]\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}4&2\\-1&4\\\end{array}\right][/tex] + R = [tex]\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex]
R = [tex]\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}4&2\\-1&4\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}-3&-2\\1&-3\\\end{array}\right][/tex]
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.
Answers
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")
a student walks 50m on a bearing 0.25 degrees and then 200m due east how far is she from her starting point.
Answers
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
Answer fast please! I need an answer before 9:00!
Answers
Answer:
1536 cm^2 be the correct answ
Answer: Option 2
1536cm²
Lateral Area=32×(24/2)×4
=1536 (cm²)
Answered by Gauthmath must click thanks and mark brainliest
Will give brainliest plz answer quick
Answers
Answer:
65
Step-by-step explanation:
Exterior angle = Sum of 2 interior angles
x + 31 = x + x - 34
x + 31 = 2x - 34
x - 2x = - 34 - 31
- x = - 65
x = 65
Step-by-step explanation:
A triangle's angles add up to 180°, and a straight line is 180 degrees, so 180 - x + 31 is the interior angle that isn't labeled.
[tex]x+x-34+180-x-31=180[/tex]
[tex]x=180-115[/tex]
[tex]x=65[/tex]
Can someone please help me with this
Answers
Answer:
Step-by-step explanation:
Answered by Gauthmath
Let 0° < a < 90°
Given: cos a=7/25
Find: sin a and cot a
Answers
The solutions are:
sin(a) = 24/25
tan(a) = 24/7
For a given point (x, y) and an angle "a" measured counterclockwise from the positive x-axis to a ray that connects the origin with our point, we can think on the situation as a triangle rectangle.
Where the ray is the hypotenuse, the x-component is the adjacent cathetus, and the y-component is the opposite cathetus.
So we have:
x = adjacent cathetus
y = opposite cathetus
h = hypotenuse = √(x^2 + y^2)
Then the trigonometric relations become:
cos(a) = x/√(x^2 + y^2)
sin(a) = y/√(x^2 + y^2)
tan(a) = y/x
Now, we know that we have:
cos(a) = 7/25
then we can see that:
x = 7
and
h = 25 = √(7^2 + y^2)
We can solve the above equation for y:
25 = √(7^2 + y^2)
25 = √(49 + y^2)
25^2 = 49 + y^2
625 - 49 = y^2
√576 = y = 24
Then we have:
x = 7
y = 24
h = 25
Now we can return to our known trigonometric relations and get:
sin(a) = y/√(x^2 + y^2) = 24/25
tan(a) = y/x = 24/7
If you want to learn more about trigonometry, you can read:
https://brainly.com/question/14746686
Need help quick g on cdth
Answers
Answer:
B. 16
Step-by-step explanation:
You can find it by subtraction.
for example:
70-54=16
54-38=16
22-6=16
and so on
Diagnostic
Analytics
When completing an online shopping transaction, a typical shopper takes 7 seconds to
select each product and another 9 seconds to complete the check-out process. If it takes 37
seconds to complete a transaction, how many products are being purchased?
products
Submit
Answers
Answer:
In 26 seconds to complete a transaction, 2 products are being purchased.
Step-by-step explanation:
1 item = 9 seconds
Time taken in all to check out = 8 seconds
Time taken to shop = 26 seconds
Now as check out process takes 8 seconds, so the
Time left to ACTUALLY SHOP = Total Time - Time Used to check out
= 26 seconds = 8 seconds = 18 seconds
Shopping of 1 item = 8 seconds
Shopping of 2 items = 2 x ( Time taken in 1 item) = 2 x 9 = 18 seconds
So, in 18 seconds, 2 clothing item can be selected.
Hence,in 26 seconds to complete a transaction, 2 products are being purchased.
Find the length of x
. Assume the triangles are similar.
Answers
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
Instructions: Given the following constraints, find the maximum and minimum values for z.
x + 3y < 0
Constraints: X – Y > 0
3x – 7y < 16
Optimization Equation: 2 = -x + 5y
Maximum Value of z:
Minimum Value of z:
Check
Answers
Answer:
[tex]x+3y\leq 0[/tex]
[tex]x-y\geq 0[/tex]
[tex]1) x+3y=0[/tex]
[tex]x-y=0[/tex]
[tex]-----[/tex]
[tex]4y=0[/tex]
[tex]y=0[/tex]
[tex]x=0[/tex]
[tex](0,0)[/tex]
[tex]2)(x+3y=0)3[/tex]
[tex]3x-7y=16[/tex]
[tex]3x+9y=0[/tex]
[tex]3x-7y=16\\------\\16y=-16[/tex]
[tex]y=-1[/tex]
[tex](3,-1)[/tex]
[tex]3)(x-y=0)3[/tex]
[tex]3x-7y=16[/tex]
[tex]3x-3y=16[/tex]
[tex]3x-3y=0[/tex]
[tex]3x-7y=16\\------\\4y=-16[/tex]
[tex]y=-4[/tex]
[tex]x=4[/tex]
[tex](4,-4)[/tex]
[tex]Z=-x+5y[/tex]
[tex](0,0):z=0[/tex]
[tex](3,-1):z=-8[/tex]
[tex](4,-4):z=-24[/tex]
[tex]Maximum \:Value\: of\: z:0[/tex]
[tex]Minimum\: Value\: of\: z:-24[/tex]
OAmalOHopeO
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?
Answers
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]
What is the area of this figure?
Answers
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
For this exponential function,
what is the output value (y),
when the input value (x) is 3?
y = 10.5x.
(3, [?])
Answers
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.
The integer to represent a withdrawal of $25 would be____.
-25
+25
Answers
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
What is mL in LMN? Round only your final answer to the nearest degree.
Answers
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 )
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.
Answers
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)
Find the midpoint of the segment with the following endpoints.
(4, 2) \text{ and } (7, 6)
(4,2) and (7,6)
Answers
Answer:
( 5.5 , 4 )
Step-by-step explanation:
Use mid point formula shown in image
first x= (X+X)/2
x=(4+7)/2
x=11/2
x=5.5
y=(Y+Y)/2
y=(2+6)/2
y=8/2
y=4
(5.5,4)
