Step-by-step explanation:
In an equilateral triangle, all the three sides are equal as well as all the angles are equal. Let the angles be x.
We know that the sum of angles of a triangle is equal to 180 degrees. It means that,
x+x+x=180
3x=180
x=60°
Hence, if a triangle is an equilateral triangle, then the triangle has exactly three 60° angles. Hence, △ABC is an equilateral triangle
What is f(-2) of the function given below? *
f(x) = 3x2 - 4x + 1
Answer:
f(-2) = 21
Step-by-step explanation:
Step 1: Define
f(x) = 3x² - 4x + 1
f(-2) is x = -2
Step 2: Substitute and Evaluate
f(-2) = 3(-2)² - 4(-2) + 1
f(-2) = 3(4) + 8 + 1
f(-2) = 12 + 9
f(-2) = 21
4. A recipe for pasta dough says, "Use 150 grams of four per large egg."
a. How much flour is needed if 6 large eggs are used?
b. How many eggs are needed if 450 grams of flour are used?
Answer:
900 grams of flour 150x6=900
3 eggs 450/150=3
which point is the center of a circle
Answer:
isnt it called the focus thats what i think
Step-by-step explanation:
a rectangular piece of metal is 15in longer then it is wide. squares with sides 3in long are cut from the four corners and the flaps are folded upward to form an open box. if the volume of the box is 1092in cubed what were the original dimensions of the piece of metal?
Step-by-step explanation:
Let x equal the width of the box and x + 15 equal the length of the box. Subtract 6 (the amount cut out) from both of the these to get the following terms: (x+9) and (x-6). These are the length and width of the box respectively. We also know that the height of the box is 3. Plugging these into the formula for the volume of a box gives you:
3(x+9)(x-6)=1092
Expanding this out gives:
3x^2+9x-162=1092
Subtract 1092 from both sides to make the quadratic equation equal zero. Plug the a, b and c coefficients into the quadratic formula (or factor) to find x.
3x^2 +9x-1254 = 0
a = 3 b = 9 c = -1254
I hope this helps :)
Point B has 3 lines extending from it. One line extends to point A, another to C, and another to D. Angle A B D is a right angle. Which information do you know is true from the diagram? Check all that apply. ∠ABD is a right angle. Ray B C bisects angle ∠ABD. m∠ABC = 45° m∠CBD = 45° m∠ABD = 90°
Answer:
A) ∠ABD is a right angle.
E) m∠ABD = 90°
Step-by-step explanation:
just took the test
∠ABD is a right angle and ∠ABD = 90° will be correct for the given angles.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
The angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.
Given that,
Angle A B D is a right angle.
The right angle is a 90-degree angle.
So,
m∠ABD = 90°
Hence "∠ABD is a right angle and ∠ABD = 90° will be correct for the given angles".
For more about the angle,
brainly.com/question/13954458
#SPJ2
Please help please help
Your school band is selling T-shirts. The group purchased the tees wholesale for $3.00 each. If the team has a 310% markup, what price are they selling the t-shirts for?
Answer:
$9.10
Step-by-step explanation:
hope this helps buddy
Find a general term a, for the sequence whose first four terms are given.
1 /1,1/4,1/9,1/16
Answer:
an = 1/n^2
Step-by-step explanation:
We notice that the denominators are the squares of successive integers. The general term will be ...
[tex]\boxed{a_n=\dfrac{1}{n^2}}[/tex]
Beach Bicycles sells two-seater bicycles. Its markup rate is 68%. Which equation represents the new price for a bicycle, y, given an original price, x?
Answer:
y = 1.68x
Step-by-step explanation:
The markup rate of a product or service refers to how higher the selling price is than the total production cost. In this case, this company doesn't produce the bikes, instead it purchases them from a wholesaler, distributor or even the factory, and then resells them in order to make a profit.
E.g. Beach Bicycles purchases two-seater bikes at $200 each, and then it will resell them to their customers at 1.68 x $200 = $336. The total markup in this example is $136, which represents $136/$200 = 68% of the purchase price.
Evaluate the expression for p = –4.
3p2 − 18(–2 − p) =
Answer:
12
Step-by-step explanation:
p = -4
3p² - 18(-2 - p)
plug in p
3(-4)² - 18(-2 - (-4))
solve the exponent
3(16) - 18(-2 - (-4))
solve within the parentheses
3(16) - 18(-2 + 4)
3(16) - 18(2)
multiply each expression
48 - 36
subtract
12
If x= -4 find 3x^2+2x
Answer:
40
Step-by-step explanation:
3(-4)^2 + 2(-4)
3(16) - 8
48-8
40
Steve had 48 chocolates but decided to give 8 chocolates to each of his f coworkers. How many chocolates does Steve have left?
Answer: 40 chocolates
Step-by-step explanation:
- Find the coordinates of A if B(0,5.5) is the midpoint of AC and C has coordinates
(-3,6).
Given:
Coordinates of point C are (-3,6).
Point B(0,5.5) is the midpoint of AC.
To find:
The coordinates of A.
Solution:
Let the coordinates of point A are (a,b).
Formula for midpoint:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Using the above formula, the midpoint of A(a,b) and C(-3,6) is
[tex]B=\left(\dfrac{a+(-3)}{2},\dfrac{b+6}{2}\right)[/tex]
[tex](0,5.5)=\left(\dfrac{a-3}{2},\dfrac{b+6}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{a-3}{2}=0[/tex]
[tex]a-3=0[/tex]
[tex]a=3[/tex]
and,
[tex]\dfrac{b+6}{2}=5.5[/tex]
[tex]b+6=11[/tex]
[tex]b=11-6[/tex]
[tex]b=5[/tex]
Therefore, the coordinates of point A are (3,5).
Describe the 6 ways to transform a function.
X3-6x-16=0 solve by factoring
Answer:
X = 3 √ 2 ( 3 x + 8 )
Step-by-step explanation:
Find the product -1(-15) . Oh and also -1(-24) pls help
Answer:
15 and 24
Step-by-step explanation:
distribute the -1 to the -15 amd it will cancel out same for the other
Simplify the expression 8+10p-4-7p
Lynn and Max are divers. Lynn's depth gauge says she is 43.6 feet deep. Max's depth gauge says that he is 54.2 feet deep. Who is closer to the surface? Write two statements of inequality to describe the situation.
Answer: Lynn is closer to the surface.
Step-by-step explanation:
Lynn is 43.6 deep meaning -46.3. Max is 54.2 feet meaning that he is -54.2 feet below sea level. so the smaller the number the close it is to 0 (which in this case is the surface) hope this helped
Is 39,052 divisible by 3?
Answer:
no as the answer would be a decimal
Step-by-step explanation:
an easier way to know is to add up all the digits
3 + 9+0 +5+2= 19 and if that number is a multiple of 3 then it will be divisible by 3
this works for any number that should be divided by 3
example
is 2345 divisible by 3
2+3+4+5 =14 so no it is not divisible by 3
example
is 12345 divisible by 3
1+2+3+4+5 =15 so yes it is divisible by 3
hope this helps
pls can u help me with my most recent question pls and thx
What is the sum of the terms of the series 4 + 7 + 10 + . . . + 22? 91 43 104
Answer:
91Step-by-step explanation:
This is an arithmetic sequence, in which a set number is added to the previous term to get the next term. The number added is figured out by subtracting the 1st term from the 2nd term and the 2nd term from the 3rd term.
Now that we know the number is 3, we can complete the sequence:
4, 7, 10, 13, 16, 19, 22
We will add all the terms up to get 91.
___________________________________________________I AM ALWAYS HAPPY TO HELP :)HELP PLS THIS IS IMMEDIATE
6x+2y=12 ( solve for y )
How do I show my work on a piece of paper would help a lot :)
Answer:
y=6-3x
Step-by-step explanation:
factor out common terms 2(3x+y)=12divide both sides by 2
3x+y=[tex]\frac{12}{2}[/tex] simplify 3x+y=6 subtract 3 from both sides
y=6-3x
Find the square root of 1764 using prime factorization with explanation and solution.
Answer:
42
Step-by-step explanation:
The product of the prime factors of 1764 is
1764 = 2² × 3² × 7² , thus
[tex]\sqrt{1764}[/tex]
= [tex]\sqrt{2^{2}(3^{2} )(7^{2} ) }[/tex]
= [tex]\sqrt{2^{2} }[/tex] × [tex]\sqrt{3^{2} }[/tex] × [tex]\sqrt{7^{2} }[/tex]
= 2 × 3 × 7
= 42
Cans of peas are 3 for $1.29. How much would one can of peas and a bag of chips priced at $2.19 cost all together?
Answer:
It would be 2.62
Step-by-step explanation:
PLZ HELP im am stupid
Answer:
x = 17
Step-by-step explanation:
The two indicated angles are corresponding and congruent, thus
11x - 31 = 8x + 20 ( subtract 8x from both sides )
3x - 31 = 20 ( add 31 to both sides )
3x = 51 ( divide both sides by 3 )
x = 17
Answer:
the answer is number 4 17
Step-by-step explanation:
Evaluate the following expression. cos315°
Answer:
[tex]\sqrt{2}/2[/tex]
Step-by-step explanation:
Making a unit circle will be very helpful if you don't already have one. You will use it for years to come.
Find the distance between points P(5, 1) and 2(3, 4) to the nearest tenth.
Answer:
using distance formula =√(5-3)sq+(1-4)sq
=√4+9
=√13
Step-by-step explanation:
What
is
the
solution
to
the
equation?
5x – 4 = 3x + 10
Answer:
x = 7
Step-by-step explanation:
5x - 4 = 3x + 10
Combine Like Terms
2x = 14
Divide
x = 7
D
Question 1
(02.03)
Read the following statement: Line segment CD is congruent to line segment XY.
Which of the following is an equivalent statement? (4 points)
If she does not make any deposits or withdrawals, what will be the balance in her
account after 2 days?
Answer:
the same as its been for 2 days
Step-by-step explanation: