Answer:
The lengths of the other sides would be 10, as well.
Step-by-step explanation:
Since we already know two of the three angles, we can subtract to find the other angle. The interior angles of a triangle will always add up to 180°. We have 60° and 60°, giving us 120°. 180 - 120 is equal to 60°, so that's the missing angle. Because all of the angles are the same, this is an equilateral triangle, which means the sides also have to be the same length. If one of the sides is 10, all of the sides are 10.
The triangle with sides 10 , 10 and 10 and all angles at 60° is an equilateral triangle
What is an Equilateral Triangle?An equilateral triangle is a triangle in which all three sides have the same length.
Let the triangle be ΔABC , and
∠A = ∠B = ∠C = 60° and AB = BC = CA
Given data ,
Let the triangle be represented as ΔABC
Let the side length of the triangle be AB = 10
Now , the measure of ∠ABC = 60°
And , the measure of ∠BAC = 60°
So , the total sum of all the angles in a triangle = 180°
And , the measure of ∠ACB = 180° - ( 60° + 60° ) = 60°
Therefore , all the angles of the triangle are 60°
So , it is an equilateral triangle
And , the measure of side lengths of the triangle is 10
Therefore , AB = BC = CA = 10
Hence , it is an equilateral triangle
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Calculate the median of the following data 18, 24, 55, 59, 34, 39, 22, 32, 57, If 55 is replaced by 33, calculate the new median
Answer:
34, and if 55 was replaced with 33, the new median would be 33.
Step-by-step explanation:
The median is the number that is in the middle of a data set, once the numbers are organized from least to greatest. If we put the numbers in order (18, 22, 24, 32, 34, 39, 55, 57, 59), the number in the middle is 34. If we do the same, but replace 55 with 33, (18, 22, 24, 32, 33, 34, 39, 57, 59), we get 33 as the median.
Select the correct answer.
Each statement describes a transformation of the graph of y= x. Which statement correctly describes the graph of y=x+7?
OA. It is the graph of y=x where the slope is increased by 7.
ОВ. It is the graph of y= x translated 7 units to the right.
Oc. It is the graph of y= x translated 7 units up.
OD. It is the graph of y= x translated 7 units down.
Answer:
Correct Answer is C
since anything after x decides if it goes up or down like +7 goes up -7 goes down i don't know what would be if it goes sideways
A man serves 6 customers in 30 minutes. How many customers can be served in 2 hours?
Answer:
24
Step-by-step explanation:
2 hours * 60 minutes/hour = 120 minutes
120 minutes / 30 minutes = 4
120 minutes is 4 times 30 minutes, so he can serve 4 times as many people.
4 * 6 customers = 24 customers
Answer: 24
A man serves 6 customers in 30 minutes. There are 24 customers who can be served in 2 hours.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
A man serves 6 customers in 30 minutes. we want to find how many customers can be served in 2 hours.
We know that
2 hours x 60 minutes/hour = 120 minutes
120 minutes / 30 minutes = 4
120 minutes is 4 times 30 minutes, so he can serve 4 times as many people.
= 4 x 6 customers
= 24 customers
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What is the value of d?
A)80
B)100
C)84
D)50
Answer:
100 degrees
Step-by-step explanation:
You can tell by just looking at the picture :)
answer pleaseee help
Answer:
should be A & D they are multiplying the x by a number less than 1 (between -1 & 1)
Step-by-step explanation:
Need help for this question pleaseeee
9514 1404 393
Answer:
y = 27·x² or (a, n) = (27, 2)
Step-by-step explanation:
Taking the log (base 3) of the given equation, we have ...
[tex]\log_3(y)=n\cdot\log_3(x)+\log_3(a)[/tex]
Using the points given on the graph, we have 2 equations in n and 'a'.
3 = n·0 +log₃(a) . . . . . log₃(y) = 3, log₃(x) = 0
a = 3³ = 27
and
7 = n·2 +3 . . . . . log₃(y) = 7, log₃(x) = 2
4 = 2n
2 = n
The values of a and n are 27 and 2, respectively.
On vacation, Tim plans to spend less than $30 a day. If he spends $12 for food, what is the greatest number of dollars he can spend per day on other things? (Express in whole dollars.) Write an inequality and solve.
Answer:
So, Tim spent maximum $ 18 dollars on other things
Step-by-step explanation:
Total spent per day is less than $ 30.
Money spent on food= $ 12
So, the maximum amount amount spent on the things is
= $ 30 - $ 12 = $ 18
So, Tim spent maximum $ 18 dollars on other things.
I NEED ANSWERS ASAP(WORTH 20 POINTS) WILL MARK BRAINLIEST
The graph of f(x) = |x| is transformed to g(x) = |x+1|-7. On which interval is the function decreasing?
A. (negative infinity, -7)
B. (negative infinity, -1)
C. (Negative infinity, 1)
D. (Negative infinity, 7)
Answer:
B. (negative infinity, -1)
What is the value of y
Answer: C
Step-by-step explanation: A straight angle is 180 degrees:
180-130 = 50
Triangle angles equal up to 180.
50 + 2y =180
y =65
SUM OF INTERIOR OPPOSITE ANGLES = EXTERIOR ANGLE .
[tex]130 = y + y \\ 130 = 2y \\ \frac{130}{2} = y \\ \frac{ \cancel{130}^ { \tiny \: \: \: \: 65} }{ \cancel{2}} = y \\ y = 65 \degree[/tex]
What is value of x?
Enter your answer in the box.
Explain and help me with these pls and tyty ( solving using the substitution method )
Answer:
I suck at math but take a picture and put it in the app called "Math-way" or "Photo-math" I'm a senior and still use these
Please help ASAP!!! Tysm :)
Answer:
Hope that will help you
Step-by-step explanation:
BD = 14.5
find the least common denominator for these fraction 4/8 and 1/4
Answer:
8Step-by-step explanation:
As,
1/4 = (1×2)/(4×2) = 4/8
4/8 = (4×1)/(8×1) = 4/8
In both case,
The denominator 8 is least common multiple
Juilo spent $64 and now has no money left.He( )had before his purchase
Answer:
64->-?
Step-by-step explanation:
he spent 64 and now he has none so he spent all his money
If 2x+4=8, what is 9x?
Answer:
hope it will be helpful to you
Answer:
..have a great day ahahahahah
= (b) Use your calculator to determine the exact value of 35.23 x 3.02 Exactly Correct to 2 decimal place
Answer:
The exact value is 106.40
Step-by-step explanation:
The exact value of the given operation obtained with the calculator is:
[tex] 35.23 \times 3.02 = 106.3946 [/tex]
The result expressed in 2 decimal places is:
[tex] 106.3946 = 106.40 [/tex]
Therefore, the exact value is 106.40
I hope it helps you!
The marked price of a palmtop was Rs 10,000. What will be the price of palmtop if 13% VAT was levied, after allowing 15% discount on it ?
Step-by-step explanation:
price after discount and with vat = 9605
Please help i need to find X.
Answer:
(11√42)/2
Step-by-step explanation:
Thanks to the given information we can say that the smaller leg of the left triangle is
(11√7)/2
while the other leg is
11/2 √7 * √3 = 11/2 √21
the triangle on the right has two congruent legs. For the Pythagorean theorem
x^2 = 2 (11/2 √21)^2
x^2 = 2 * 121/4 * 21
x^2 = 2541 / 2
x = √11^2 * 3 * 7/√2
x = 11√21/√2
x = (11√42)/2
given g(x) = square root of x - 4 and h(x) = 2x - 8 What is g(h10))?
Step-by-step explanation:
First find h(10)
h(10)=2(10)-8
h(10)=12
Now plug in 12 as the value of x in g(x) ie.g(12)
So g(12)=√12-4=√8=2√2
if the lines shown below are perpendicular if the green line has a slope of -1/4 what is the slipped of the red line
Answer:
C; 4
Step-by-step explanation:
Mathematically, when two lines are perpendicular, the product of their slopes equal -1
in that case, we have it that;
m1 * m2 = -1
where m1 is the slope of the first line and m2 is the slope of the second line
Hence,
m2* -1/4 = -1
-m2/4 = -1
-m2 = -4
m2 = 4
Pls help, I will give 50 points
2. Write the slope-intercept form of the equation for each graph described. Line passing through (-5, 12) and parallel to the line whose equation is y = 2x + 5. Y =
Answer: y = 2x+22
========================================================
Explanation:
The equation y = 2x+5 is in the form y = mx+b
m = 2 = slope
b = 5 = y intercept
Parallel lines have equal slopes, but different y intercepts. So the answer will be in the form y = 2x+c, where b and c are different numbers. Since b = 5, this means c must be some other number. If c = 5, then we'd have the exact same line.
Let's plug in (x,y) = (-5,12), along with the slope m = 2, and solve for c
y = mx+c
12 = 2(-5)+c
12 = -10+c
12+10 = c
22 = c
c = 22
Since m = 2 and c = 22, we go from y = mx+c to y = 2x+22
The equation of the parallel line is y = 2x+22
The graph is below.
Um criador de ovelhas possui um total de 36 ovelhas e resolveu vender alguma delas no primeiro dia vendeu metade das ovelhas no segundo dia vendeu um terço e no terceiro dia vendeu a nona parte quantas abelhas sobraram?
Answer:
2 sheep
Step-by-step explanation:
If you have 36 sheep and you sell:
first day 1/2 of them you sold 18
second day 1/3 them you sold 12
On thhe third day 1/9 them you sold 4
Therefore you sold 18 + 12 + 4 = 34
And you still have 2 sheep
A sheet of plastic has an area of 35 square cm. If the sheet is 5 cm thick, what is the volume?
Answer:
175 cm³
Step-by-step explanation:
Volume = área * thick
Volume = 35cm² * 5cn
Volume = 175 cm³
Answer:
7cm
Step-by-step explanation:
Area = 35cm²
Length= 5cm
Width=?
A=L×B
B=A/L
B=35/5
B=7cm
Suppose Ax = b always has at least one solution no matter what b is. Why AT y = 0 has only the trivial solution y = 0?
Answer:
For the first equation we have:
A*x = b
solving for x, we get:
x = b/A
If it always has a solution, then we can not have A = 0, because that causes an undefined operation.
so for example, if we have A = 1 and b = 2
x = b/A = 2/1
For the other case,
A*y = 0
dividing both sides by A
y = 0/A = 0
y = 0
Here we have only one possible solution, the trivial one, y = 0.
And the dependence on A disappears (because the quotient between zero and a number different than zero is always zero)
What does "solve an equation" mean?
Answer:
It means you find something equal to that equation or simplify it.
Step-by-step explanation:
KHAN
4.2.4 practice: Modeling: Slope intercept equation of a line
Given:
Modeling: Slope intercept equation of a line
To find:
The slope intercept equation of a line.
Solution:
The slope intercept equation of a line is defined as:
[tex]y=mx+b[/tex]
Where, m is the slope and b is the y-intercept.
It means the line intersects the y-axis at (0,b).
For example: The slope of a line is 2 and its y-intercept is 1, then the slope intercept of the line is:
[tex]y=2x+1[/tex]
Therefore, the slope intercept form of a line is [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.
I need help on this !! Please
Answer:
Step-by-step explanation:
given that cos θ = 8/17 and sin θ = -15/17 what is the value of tan θ
Answer:
- 1.875
Step-by-step explanation:
tan = sin ÷ cos
tan = 8/17 ÷ - 15/17
tan= - 1.875
Answer:
-8/15
Step-by-step explanation:
see image
The volume of a cube is 8mm3.
What is the length of its side?
Answer:
the length of cube
is 2 mm
Answer:
2m
Step-by-step explanation:
A cube is a 3-dimensional object with all sides of equal length. So, length = breadth = height
Let the side of cube be x.
Then Volume of cube = x * x * x
So, length (side) of cube is 2m