Answer:
Right triangle
Step-by-step explanation:
[tex] {5}^{2} + {(5 \sqrt{3} )}^{2} = 25 + 75 = 100 \\ \\ {10}^{2} = 100 \\ \\ \implies \: {5}^{2} + {(5 \sqrt{3} )}^{2} = {10}^{2} \\ [/tex]
So, by converse of Pythagoras theorem given side lengths form a right triangle
Answer:
Right
Step-by-step explanation:
The side lengths are 5, 5√3, and 10. This tells me this is a 30° 60° 90° triangle. In a 30° 60° 90° triangle, the relationship between the side lengths are a, a√3, and 2a. a represents the side length of the first leg of the triangle. a√3 represents the second side length, which is the first leg's side length multiplied by √3. Finally, 2a represents the hypotenuse which is two times bigger than the first leg's side length.
a forest covers 47,000 acres. a survey finds that 0.2% of the forest is old growth trees. How many acres of old growth are there?
Answer:
9400
Step-by-step explanation:
I'm not really sure if this is right but I changed 0.2% to 1/5 and 1/5 is 9400. Hope this is right!
The soccer team played 30 games and lost 12 of those games. Samantha was the goalie in ⅚ of the games that the team won and ⅓ of the games that the team lost. In how many games did she play in?
Answer:
20 games
Step-by-step explanation:
5/6 of 12 = 10
1/3 of 30 = 10
10 + 10 = 20
If Aaron tunes into his favorite radio station at a randomly selected time, there is a 0.20 probability that a commercial will be playing.
b. If Aaron tunes into this station at 5 randomly selected times, will there be exactly one time when a commercial is playing?
Answer:
Yes, there will be with a probability of 0.4096
Step-by-step explanation:
Given,
p = 0.2
1 - p = 0.8
Number of trials, n = 5
P(x = 1)
Using the binomial probability formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
P(x = 1) = 5C1 * 0.2^1 * 0.8^4
P(x = 1) = 5 * 0.2^1 * 0.8^4
P(x = 1) = 0.4096
Yes, there will be with a probability of 0.4096
Answer:
No. If Aaron tunes into this station at 5 randomly selected times, there will not necessarily be exactly one time when a commercial is playing.
Step-by-step explanation:
trust
Please help ASAP!
The perimeter of a rectangle is 48 inches. The length of the rectangle is three times the width of the rectangle. What is the area of the rectangle?
A. 24
B. 54
C. 108
D. 432
Answer:
108
Step-by-step explanation:
if 50% is 7 what is 25%, 75%, and 100%
Answer:
100% = 14
75% = 10.5
25% = 3.5
Answer:
100% = 1475% = 10 1/250% = 725% = 3 1/2Step-by-step explanation:
50% if a number is also 1/2 of that number. So, we multiply 7 by 2 to get 14.
Now we know that we need to solve for 25%, 75%, and 100% of 14.
100% of a number is just that number, so 100% of 14 is 14.
To solve for 75% of 14, we multiply 3/4 by 14.
3/4 x 14/1 = 42/4 = 10 1/2
The final number to solve for is 25% of 14.
1/4 x 14/1 = 14/4 = 3 1/2
Gary sold 8 more tickets than Peter. Tracy sold 12 less than Peter. They sold 50
tickets in total. How many tickets did Gary sell?
Answer:
96 tickets
Step-by-step explanation:
Which of these rational numbers is also an integer?
A - 2/4
B - 0.24
C - 4/2
D - 2.4
answer it please. brainliest if correct
You're given two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°. How many triangles can you
construct using these measurements?
A. 0
B. 1
C. 2
D. Infinitely many
Answer:
B. 1 triangle only!
Step-by-step explanation:
Since the angle and the sides are fixed!
Lauren is tutoring students at the library on Saturday. If she is at the library for a total of 6 hours and she helps each 3 student, one at a time, for 7 of an hour, how many students does she tutor?
6
8
12
24
Answer:
24 hope this helps
Step-by-step explanation:
(please will someone help me please). write the equation of the line in the graph the two points on the line are located at (0, 3) and (6,-1) multiple choice answers are . Y=3x. Y=1/3x+3. Y=2/3x+3. Y=-6x
Answer:
c) y=2/3x+3
Step-by-step explanation:
im pretty sure this is right :)
a. The sum of a number and one is equal to one added to the number.
If csctheta=11/4 & tan Thea< 0 Use the fundamental identities to evaluate cottheta.
Answer:
[tex]\cot{\theta} = -\frac{\sqrt{105}}{11}[/tex]
Step-by-step explanation:
Fundamental identities:
These following trigonometric identities are used to solve this question:
[tex]\sin^{2}{\theta}+\cos^{2}{\theta} = 1[/tex]
[tex]\csc{\theta} = \frac{1}{\sin{\theta}}[/tex]
[tex]\cot{\theta} = \frac{\cos{\theta}}{\sin{\theta}}[/tex]
With the cossecant, we can find the sine. So:
[tex]\csc{\theta} = \frac{1}{\sin{\theta}}[/tex]
[tex]\frac{11}{4} = \frac{1}{\sin{\theta}}[/tex]
[tex]11\sin{\theta} = 4[/tex]
[tex]\sin{\theta} = \frac{4}{11}[/tex]
With the sine, we find the cosine.
Since the tangent is negative, the cosine is negative. So
[tex]\sin^{2}{\theta}+\cos^{2}{\theta} = 1[/tex]
[tex](\frac{4}{11})^{2} + \cos^{2}{\theta} = 1[/tex]
[tex]\frac{16}{121} + \cos^{2}{\theta} = \frac{121}{121}[/tex]
[tex]\cos^{2}{\theta} = \frac{105}{121}[/tex]
[tex]\cos{\theta} = -\frac{\sqrt{105}}{11}[/tex]
Cotangent:
[tex]\cot{\theta} = \frac{\cos{\theta}}{\sin{\theta}}[/tex]
[tex]\cot{\theta} = \frac{-\frac{\sqrt{105}}{11}}{\frac{4}{11}}[/tex]
[tex]\cot{\theta} = -\frac{\sqrt{105}}{11}[/tex]
10=2x-20 solve for x
Answer:
[tex]10 = 2x - 20 \\ 10 + 20 = 2x \\ \frac{30}{2} = \frac{2x}{2} \\ 15 = x[/tex]
Quadrilateral E F G H is shown. Angle E is (15 x minus 10) degrees, angle F is (15 x + 14) degrees, angle G is (9 x minus 4) degrees, and angle H is (11 x + 10) degrees.
What is the greatest angle measure in the diagram?
95o
105o
119o
180o
Answer:
119
Step-by-step explanation:
Answer:
C. 119 degrees
PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve the equation
9(k - 2) = -6
what is k?
Answer:
k= 4/3
Step-by-step explanation:
distribute 9 9k- 18=-6
add 18 to both sides 9k= 12
divide by 9
The value of k is 4/3 or 1.334.
What is Equation?A statement that supports the equality of two expressions that are connected by the equals sign "=" is an equation.
An equation is a condition on a variable in algebra. It only holds true for a specific value of the variable.
Polynomial equations and linear equations are two prominent families of equations that algebra takes into account.
Given equation
9(k - 2) = -6
9k - 18 = -6
add 18 both sides
9k - 18 + 18 = -6 + 18
9k = 12
k = 12/9 =4/3 = 1.334
Hence the value of k is 4/3 or 1.334.
Learn more about equation;
https://brainly.com/question/29657983
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Pleaseee help!!!!!!!!
Answer:
no
Step-by-step explanation:
no
Please help me I’m begging u it’s due in 10 minutes!!
Answer:
y= -1
Step-by-step explanation:
subtract, so x cancels out.
you are left with 2y=-2
y= -1
Answer:
y = - 1
Step-by-step explanation:
x + y = 1 .......... (1)
x - y = 3 .......... (2)
(1) + (2)
2x = 4 ⇒ x = 2
2 + y = 1 ⇒ y = - 1
(2, - 1)
Find the equation of the line with m = 2 and goes through (-4,5).PLEASE HELP
What is the distance from –8 to 4 on a number line?
Answer:
13 away
i used my fingers
Answer:
12
Step-by-step explanation:
-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4
Just count he bottom lines
What is the range of the mapping?
12x-20=n(3x-5) what does n equal
The function Y=4.75+2.20(X-1) can be used to determine the cost in dollars for a taxi ride in Houston, TX. What is the rate of change of the cost in dollars with respect to the number of miles?
Answer:
2.20 dollars/mile
Step-by-step explanation:
Given the function:
y = 4.75 + 2.20(x-1)
Before we get the rate of change of the cost, we need to write the expression in the form y = mx+c where;
m is the rate of change of the cost
From the function given:
y = 4.75 + 2.20(x-1)
Open the parenthesis
y = 4.75 + 2.20x -2.20
y = 2.20x + 2.55
On comparing with the standard
m = 2.20
Hence the rate of change of the cost in dollars with respect to the number of miles is 2.20 dollars/mile
i will mark brainlyest plss helpp
Which table has a constant of proportionality between yyy and xxx of 0.30.30, point, 3?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
xxx yyy
666 222
121212 444
303030 101010
(Choice B)
B
xxx yyy
333 1.81.81, point, 8
777 4.24.24, point, 2
999 5.45.45, point, 4
(Choice C, Checked)
C
xxx yyy
444 1.21.21, point, 2
888 2.42.42, point, 4
131313 3.93.9
Answer:
The answer is C
Step-by-step explanation:
i also use khan
Answer:
table C
Step-by-step explanation:
each one is multiplied by .30
:)
how do I work this out
Answer:
16
Step-by-step explanation:
4 x 4
Could you describe the expression 2(3+4) as a product of two factors?
the answer will be 10 just multiply the numbers
Select the expression that is equivalent to 18 : 12 A) 6 (8+6) B 12 (4+1) C 4 (443) D 8(6+4)
Answer:
Step-by-step explanation:
D 8(6+4)
Which of these expressions equal 15 when x=1/2 and y=3? Circle all that apply. Please help with this my teacher need me to work out xy+3 1/2+20x Btw guys 3 1/2 are mixed numbers if your wondering
Answer:
15
Step-by-step explanation:
First you would replace the x and y's with 1/2 and 3.
So it would look like: (1/2) (3) + 3 1/2 + 20 (1/2)
Next, you go by PEMDAS (parenthesis, exponents, multiplications, division, addition, subtraction)
So you would first multiply and the parenthesis that I added mean multiplication.
1.5 + 3.5 + 10
So then all that is left to do is add because I multiplied everything out.
So it is 5 + 10 which is 15
What do you do if the divisor (the number you're dividing
by) is greater than the dividend (the number that is
being divided)?
Answer:
you can use decimals
Step-by-step explanation:
Which equation can be used to determine the number of movie tickets sold if the cost of each ticket x was $5.50, and $6,850 was earned on the ticket sales?
Answer:
5.50x = 6,850
Step-by-step explanation:
Each ticket costs $5.50, and the total is $6,850.
Hope this helps! :)