Step-by-step explanation:
the vertex is on the axis of symmetry so the axis of symmetry would be x=5
Answer:
the axis of symmetry is x=5
In ΔFGH, GH = 14, HF = 13, and FG = 15. Which list has the angles of ΔFGH in order from largest to smallest?
Answer:
HF, GH, FG largest to smallest
Step-by-step explanation:
HFGHFG
You are holding a kite string in your hand. The angle of elevation from your hand to the kite is 57⁰ and the distance to the kite is 300 feet. Your hand is 5 feet above the ground. How high is the kite? Round your answer to the nearest tenth of a foot.
Answer:
256.6 feet
Step-by-step explanation:
First, I recommend drawing a picture for problems like this. See attached for my example!
-> What does the "angle of elevation" mean? In summary, if your hand has a line going out in both directions horizontally from it, it is the angle "up" to the kite.
Now, let us find out what formula(s) we will use to solve this problem.
-> We have two of the angles (so we can easily find the third) as well as the hypotenuse
-> We are solving for one of the legs, then adding five feet to it
-> I think I will use the 57° angle and the sine function since we have the hypotenuse and are solving for the opposite side (to the angle 57°)
Lastly, we will solve! First, I will find the length of the opposite side to the 57° angle.
sin(θ) = [tex]\frac{opposite}{hypotenuse}[/tex]
sin(57°) = [tex]\frac{x}{300}[/tex]
300sin(57°) = x
251.6 ≈ x
x ≈ 251.6 feet
Now we will add 5 feet to 251.6 since your hand is 5 feet above the ground.
251.6 + 5 = 256.6
Solve the following:
a
4x - 3 = 2x + 7
what does x equal
Answer:
x=5
Step-by-step explanation:
4x-3=2x+7
4x-2x-3=7
4x-2x=7+3
2x=10
2x/2 10/2
x=5
Answer:
x=5
Step-by-step explanation:
So we have to combine like terms
4x-3=2x+7
-2x -2x
2x-3=7
+3 +3
And now simplify
2x=10
/2 /2
x=5
6x2y – 2x2y – 10x2y + 8x2y =
Answer:
4y is your answer........
The sum of the two numbers is 52 and the difference is 28. Calculate the numbers.
Let's set these two numbers as 'a' and 'b'
Now, let's set up equations based on the information known:
the sum of the two numbers is 52 --> a + b = 52the difference is 28 --> a - b =28Equations
a + b = 52 -- equation 1a - b = 28 -- equation 2Solve:
(Equation 1) + (Equation 2)
2a = 80
a = 40 -- equation 3
(Equation 3)
40 + b = 52
b = 12
So a = 40 and b = 12
Hope that helps!
Which equation is a step in solving the equation 5 - 3x + 2 = 19?
A.
15 - 3x1 = -17
B.
15 + 3x1 = 17
c.
5 + 3x = -17
D.
5 - 3x = -17
Answer:
D. 5-3x = 17
Step-by-step explanation:
The step carried out was subtracting 2 from both sides.
[tex]5 - 3x + 2 = 19 \\ 5 - 3x + 2 - 2 = 19 - 2 \\ 5 - 3x = 17[/tex]
The entire rectangle below has an area of 68ft squared.
Find the area of the shaded triangle. Be sure to include the correct unit in your answer.
Answer:
34ft squared
Step-by-step explanation:
Since the shaded area is half of the whole rectangle, it would be half of 68. 68/2 = 34, therefore the shaded area is 34ft squared.
A six-sided die is rolled 2 times. What is the fractional probability of rolling different numbers?
Answer:
The probability of getting 6 the first time and an even number the second time is 1/12.
what is probability?
probability is the quantification of possibilities in numbers.
(1) probability of rolling a 6 for the first time:
total possible outcomes = (1,2,3,4,5,6) =6
sample space = 1
probability of getting 6 = sample space/total possible outcomes
probability of getting 6 = 1/6
2)probability of getting an even number
total possible outcomes will be (1,2,3,4,5,6)
sample space = (2,4,6) ie 3
probability of this = 3/6 = 0.5
total probability = 1/6*0.5 = 1/12
therefore,
The probability of getting 6 the first time and an even number the second time is 1/12.
to get more about probability refer to:
Step-by-step explanation:
Factor the polynomial 4x4 – 20x2 – 3x2 15 by grouping. what is the resulting expression? (4x2 3)(x2 – 5) (4x2 – 3)(x2 – 5) (4x2 – 5)(x2 3) (4x2 5)(x2 – 3)
The resulting expression for the factor of the provided polynomial with the help of grouping method is,
[tex](4x^2-3)(x^2-5)[/tex]
What is polynomial equation?Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).
Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.
The given polynomial equation is,
[tex]4x^4 - 20x^2 -3x^2 +15[/tex]
Make the groups of the above equation by taking out, 4x^2 from first two terms and -3 from second equation.
[tex]4x^4 - 20x^2 -3x^2 +15\\4x^2(x^2- 5) -3(x^2 -5)[/tex]
Take out the common group to simplify further.
[tex](x^2-5)(4x^2-3)\\(4x^2-3)(x^2-5)[/tex]
Thus, the resulting expression for the factor of the provided polynomial with the help of grouping method is,
[tex](4x^2-3)(x^2-5)[/tex]
Learn more about polynomial here;
https://brainly.com/question/24380382
Marcus' employee benefits include family health care coverage. He contributes 25% of the cost. Marcus gets paid weekly and $102 is taken out of each paycheck for family healthcare coverage. How much does his employer contribute annually for coverage?
Monthly amount, M = $102×4 = $408.
Also, yearly amount, Y = M×12 = $408×12 = $4896
It is given that 25% of the cost is contributed by Marcus.
Amount Marcus paid
[tex]=\dfrac{\$4896 \times 25 }{100}\\\\= \$1224[/tex]
Therefore, his employer contribution annually for coverage is $( 4896 - 1224)=$3672.
Hence, this is the required solution.
What is a polynomial? And how do you identify if an equation is a polynomial?
Answer:
polynomial is a an algebraic expression with 2 or more terms
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
What are polynomials?[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]
Polynomials are often sum of terms that are usually in the form :-[tex] \huge \sf \: a {x}^{2} + bx + c[/tex]
The powers in a polynomial are non-negative integer powers.Based on the number of terms in a polynomial, there are 3 types of polynomials. They are monomial, binomial and trinomial. Based on the degree of a polynomial, they can be categorized as zero or constant polynomials, linear polynomials, quadratic polynomials, and cubic polynomials.using substitution, how do you solve the simulateous equations y=3x+2 and y=x+6 ?
Answer:
X = 2
Step-by-step explanation:
y = 3x +2
y = x + 6
x + 6 = 3x + 2
6 = 2x + 2
4 = 2x
x = 2
Dave is comparing the circumferences of several trees in his yard. The oak tree is 0.539 meters in circumference, the ash tree has a circumference of 0.509 yards, the elm tree is 6281.70 millimeters around, and the poplar has a circumference of 0.000385 miles. There are 30.48 centimeters in a foot. Which tree has the greatest circumference?
a.
oak
b.
ash
c.
elm
d.
poplar
Answer:
Dave is comparing the circumferences of several trees in his yard. The oak tree is 0.539 meters in circumference, the ash tree has a circumference of 0.509 yards, the elm tree is 6281.70 millimeters around, and the poplar has a circumference of 0.000385 miles. There are 30.48 centimeters in a foot. Which tree has the greatest circumference?
a.
oak
b.
ash
c.
elm
d.
poplar
Answer:
Step-by-step explanation:
a.
oak
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
hope it helps rex
Dave wants to put a wooden frame around a mirror. The height of the mirror is 10 inches shorter than three times its width. Which equation represents the perimeter of the mirror, P, in terms of its width, w?
P=2(w + 3w - 10)
P=2(w - 3w – 10)
P=2(w + 3w + 10)
P=2(w – 3w + 10)
Answer:
the correct equation to this statement is going to be c
A rectangular prism is completely packed with 54 cubes of edge length fraction 1 over 2 inch, without any gap or overlap. Which of these best describes the volume of this rectangular prism?
Please help!
Answer:
The answer is D. The volume of the rectangle = 180 x 1/3 x 1/3 x 1/3 = 180/27=6 + 18/27.
Unit cube = 1 x 1 x 1
Step-by-step explanation:
Hope this helps!
I need help ASAP, square root of 11
Answer:
The square root of 11 is 3.31662479
Answer
3.317
hope this helped
What is 2.803 to the nearest half
Answer:
2.8
Step-by-step explanation:
Answer:
Step-by-step explanation:
1.401.2 simplify that and there you go
Tanisha weighed a wooden block that was labeled 253.8 grams, and found that it actually weighed 235 grams. What was the percent error in the labeling of the block? ( Round to the nearest 10th of a percent. )
Answer:
8%
Step-by-step explanation:
If the block weighs 235 grams, we can do (253.8-235)/235=18.8/235=0.08. Because it's percent, we need to multiply by 100, so the answer is 8%.
HELP!!! WILL MARK BRAINLIST!!!! AND A 5 STAR REVIEW!!! AND A THANKS
Rewrite 32 as 32/1
1/4 x 32/1
To multiply 2 fractions, we multiply the nominators together, and the denominator together
1/4 x 32 = 1/4 x 32/1 = 1x32/4x1 = 32/4
Simplify as 8.
So, 1/4 x 32 = 8
two sides of rectangle are (2x + 5xy) and (-7x - 10xy ). Find its perimeter
Answer:
-10x (1 - y)
Step-by-step explanation:
Given :-
Side 1 = (2x + 5xy)
Side 2 = (-7x - 10xy)
To Find :-
Perimeter
Formula :-
Perimeter (rectangle) = 2 (Side 1 + Side 2)
Solving :-
Perimeter = 2 (2x + 5xy - 7x - 10xy)
= 2 (-5x - 5xy)
= -10x (1 - y) => [Solution]
Step-by-step explanation:
perimeter: 2 (2x+ 5xy+(-7x-10xy)
= 2(2x+5xy-7x-10xy)
= 4x+10xy-14x-20xy
= -10x-10xy
= -10x(1+y).
Answer: -10x(1+y)
What is the equation of the function that is graphed as line a?
O y= 2 x-1
O y=-x-1
O y=-x
O y=3 x
please awnser quick :)
to get the equation of any straight line we simply need two points off of it, hmmm let's use the points in the picture below for "a".
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-4)}}}\implies \cfrac{-6}{2+4}\implies \cfrac{-6}{6}\implies -1[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-1}(x-\stackrel{x_1}{(-4)}) \\\\\\ y-3=-1(x+4)\implies y-3=-x-4\implies y=-x-1[/tex]
helppppp
can someone answer this?
Answer:
y=(x-3)^2-2
Step-by-step explanation:
We can see in the graph that the value of y for 1 its 2, so we have to test each equations to see which one is going to give us a 2 whit 1 as the x
-(1-3)^2-2=6 -(1=2)^2-3=-12(1-3)^2-2=2(1+2)^2-3Simplify by combining like terms:
5a + 2b - 3b + 4
A book costs $ 67. How much will be paid for 102 such books?
The cost of one book = $ 6 7
Number of books = 1 0 2
The cost of 102 books = $ 67 × 102
= $ 6834
Therefore, cost of 102 books = $ 6834
Answer:
$6,834
Step-by-step explanation:
Given:
cost of one book = $67Total cost = number of books × cost of one book
= 102 × $67
= $6,834
What is the proportional relationship represented by this table?
Answer:
the constant of proportionality is 0.2 and it is a proportional relationship
Step-by-step explanation:
2 divided by 10 is 0.2
1 divided by 5 is 0.2
they have the same answer so they are proportional
since they have the answer 0.2 it
is there constant of proportionality
Michaela spent $234 preparing for a party with 18 guests. Each guest costs the same amount of money. How many guests could attend a party that cost $104 to prepare?
Answer:
8 people
Step-by-step explanation:
234 divided by 18 is 13.
104 divided by 13 is 8.
The measure of the angles are shown in the figure below solve for x
Answer:
x = 67°
Step-by-step explanation:
The little square in the corner represents 90° because it is a right-angle.
All angles in a triangle add up to 180°.
90° + 23° = 113°
180° (total) - 113° (whats already there) = 67° (x)
I hope this helps. If you need further explanation, let me know.
- profparis
Jaine has saved 7 times as much
money as Jared has saved. Jaine has
saved $378. How much money has
Jared saved?
Answer:
$54
Step-by-step explanation:
If Jaine has $378, the opposite of 7 times would be dividing. So all you have to do is 378/7=54.
Sean bikes 5 miles south and then 3 miles west. What is the shortest distance back to Sean’s starting point?
pls help
Answer:
back 5 miles south west
Step-by-step explanation:
hope this help have a good day.
Can someone help me with this
Answer:
C) 3^3*x^-3
Step-by-step explanation:
okay, so let's just find the numerator and denominator separately
So 27 is equal to 3^3. Numerator done.
Now for the denominator:
You need to know the laws of indices, specifically the one which says that square root of something is the same as to the power of 1/2, where the 1 signifies the power of the number inside the root and the 2 is for the square root. This means that the cube root would be power of 1/3.
So here cube root of x^9, would be equivalent to x^9/3, which can be simplified to x^3/1 ---> x^3.
This leaves us with 3^3/x^3. However, this isn't an option. We need to simplify the divide part of the expression. We can do that by using another law of indices which states that anything to the power of a negative number is the same as 1 over that number. (For example, x^-5 = 1/x^5) If there are numbers in front of the x, then that number would replace the 1, such as the following example: 9x^-3 = 9/x^3.
In this question, our 3^3/x^3 could be changed using this law to give, 3^3*x^-3
I hope this made sense and was helpful :))