Answer:
Angle 6 = 46°
Angle 7 = 134°
Angle 8 = 77°
Step-by-step explanation:
Angle 6 = 180 - 134 (Due to the angles on a straight line add up to 180 property)
Angle 6 = 46°
Angle 7 = 180 - 46
Angle 7 = 134°
360 = 56+148+(2 x Angle 8)
2 x Angle 8 = 360-204
2 x Angle 8 = 156
Angle 8 = 78°
Which equation is y = (x + 3)2 + (x + 4)2 rewritten in vertex form?
y = 2 (x + seven-halves) squared minus one-fourth
y = 2 (x + seven-halves) squared minus one-half
y = 2(x + 7)2 – 73
y = (x + 7)2 – 24
Answer:
y = 2 (x + seven-halves) squared minus one-fourth [y = [tex](x + \frac{7}{2} )^{2} - \frac{1}{4}[/tex] ]
Step-by-step explanation:
We know that,
vertex form is y = a(x-h)² + k
vertex is (h, k)
Now,
Given that the equation is -
y = (x+3)² + (x+4)²
= x² + 3² + 2×3×x + x² + 4² + 2×4×x
= x² + 9 + 6x + x² + 16 + 8x
= 2x² + 14x + 25
= [tex]x^{2} + 7x + \frac{25}{2}[/tex]
= [tex]x^{2} + 7x + \frac{25}{2} + \frac{49}{4} - \frac{49}{4}[/tex]
= [tex](x + \frac{7}{2} )^{2} + \frac{25}{2} - \frac{49}{4}[/tex]
= [tex](x + \frac{7}{2} )^{2} - \frac{1}{4}[/tex]
∴ we get
The vertex form is -
y = [tex](x + \frac{7}{2} )^{2} - \frac{1}{4}[/tex]
So,
The correct option is - y = 2 (x + seven-halves) squared minus one-fourth (y = [tex](x + \frac{7}{2} )^{2} - \frac{1}{4}[/tex] )
Answer:
b
Step-by-step explanation:
edge 2021
10. Damarion is finding measurements from the triangular prism shown.
a. Damarion finds the perimeter of the base to be 48 units.
Explain his error.
b. Damarion finds the area of the base to be 96 units2.
Explain his error
Answer:
The answer is "32 and 48"
Step-by-step explanation:
Please find the graph file in the attached file.
The perimeter is= sum of sides
[tex]= 10+10+12 \\\\ =32 \ units\\\\[/tex]
Calculating the Area of base[tex]= \frac{1}{2} \times base \times height[/tex]
[tex]= \frac{1}{2} \times 12 \times 8\\\\= \frac{1}{2} \times 96\\\\=48 \ units^2[/tex]
Manuel borrowed $1,500 from his bank and signed a contract
to make monthly payments for two years at 4% interest
compounded annually, How much total interest will Manuel
pay on this loan?
Answer: 120
Step-by-step explanation:
If you want the explanation tell me in the comments.
Find the y-intercept of the parabola y = x2 + x − 5.
Answer:
-5
Step-by-step explanation:
help me!!
what's 50×50×50=
thanks!!
Answer:
solution
50×50×50=125000
Answer:
125000
Step-by-step explanation:
help me please?! its math question
solve for x and y.
A x=6; y=10
B x=13.5; y=10
C x=6;y=5
D x=13.5; y=5
Answer:
B x=13.5; y=10
this is answer
Step-by-step explanation:
I GIVING BRAINLIEST!!!PLEASE HELP!!
Answer:
Goodnight
Just put the first variable for each number and substitute to see if you could match for the answers as in (-6, 6, -4 and 4) ..Let me know if you got through to your answer !
Gerardo uses an ice cream scoop that makes spherical scoops of ice cream with a diameter of 2.5 inches.
If Gerardo opens a new tub of chocolate ice cream and scoops 37 scoops of chocolate ice cream, about how much chocolate ice cream, in cubic inches, is left in the tub?
Answer:
32.13 scoops left
Step-by-step explanation:
In Juan's coin bank there are nickels (n),
dimes (d), and quarters (q). The number of
quarters is one-quarter the number of dimes, and
the number of nickels is twice the number of
quarters. The total value of the coins is $6.00.
Find the number of each type of coin. [Show all
work.]
Answer:
The answer is 8 quarters, 16 nickles, and 32 dimes
Step-by-step explanation:
First, the equation would be (2/4d) x 5 +d x 10 +1/4d x 25= 600 (Don't put 6.00, that's dollars. We put 6 dollars into cents to make it easier.) Then we slowly start to solve: 10/4d + 10d + 25/4d = 600 10d+40d+25d/4 = 600 (Put all of that over 4, not first 25d) 75d= 600 x 4 d=600 x 4/75 (same here put everything over 75) d=32 So then n= 2 x 32/4 = 16 Then n would be equal to : 1/4d= 1/4 x 32 = 8 So your answer would be 8 quarters, 16 nickles, and 32 dimes.Hope this helped :)
Solve for the value of p. (8p+4)* 54° Answer: P = Submit Answer
I'LL GIVE BEAINLIEST HELP !!!!
Answer:
Step-by-step explanation;
54+8p+4=90
58+8p=90
8p=90-58
8p=32
p=32/8
thus,p=4
8p+4=8×4+4=32+4=36
Clayton is plowing a wheat field. There are a total of 240 acres to be plowed. If he can plow 5 acres per hour, which equation would
represent A the number of acres left to plow, after Clayton has plowed for h hours?
CA A=5-240h
B. A = 240 + 5h
CA=5+240h
OD. A = 240 - 5h
Answer:
A = 240 - 5h
Step-by-step explanation:
Have a good day :)
Underwood Grocery Store had seven bunches of bananas, and each bunch had six bananas. A customer buys four bananas. Complete and solve the number sentence below to find how many bananas the grocery store has left
Yes or no?????!!!!!!!
Answer:
Yes
Step-by-step explanation:
HELLPPP
Describe in words how to map AABC to its image
AAB'C'.
Answer:
Reflected across thhe Y-Axis (I think thats what your looking for)
What is the equation of the line that is parallel to the line 6x+3y=4 and has a y-intercept of −6?
Answer:
y=-2x-6
Step-by-step explanation:
Slope intercept form of a line: y=mx+b (m is the slope and b is the y-intercept)
Convert our given line 6x+3y=4 into slope-intercept form to find the slope
Subtract 6x on both sides
3y=-6x+4
Divide 3 on both sides
y=-2x+4/3
The slope of the given line is the coefficient of x, -2
Parallel lines have the same slope, so the equation we're solving for also has a slope of -2
We also know that the y-intercept is -6, so we now have all the info we need to make the equation:
y=-2x-6
how to tell if a equation has one solution, no solution, or an infinite number of solutions
Answer:
no solution
Step-by-step explanation:
Answer:
If the slope is different - always one solution
if the slope is the same but the y intercept is different - no solution
if the slope and y intercept are the same - infinite number of solutions
What is the value of X?
Answer:
36
Step-by-step explanation:
multiply 16 by the opposite, which is 9/4.
It costs $35 to join a gym. The monthly fee is $25. Write and graph an equation in two variables that represents the total cost of a gym membership. Let m represent the number of months and c represent the total cost of the gym membership.
An equation in two variables that represents the total cost of a gym membership is c=
.
Answer:
c= 35+25m
Step-by-step explanation:
The $35 is a one time payment and the 25 dollars is each month!
Hope this helps!
PLS HELP ME!!!! I WILL GIVE BRAINLIEST!!!!
How cold you find the combined area of all faces of a three dimensional shape? Give an example of why that would be a good measurement to know.
Answer:
Step-by-step explanation:
Width, Length, and Height being combine it by multiplying.
For a regular prism (where all the sides are the same) calculate the area of one of the sides and multiply by the total number of sides. For irregular prisms (with different sides) calculate the area of each side. Add your two answers together (ends × sides) to find the total surface area of the prism.
PLEASE HELP ME. I WILL GIVE CROWN
Answer:
h t t p s : / / w w w . d e s m o s . c o m / c a l c u l a t o r
Step-by-step explanation:
Joe designs a weighted number generator that produces the integers 0 to 4. He then run the generator 500 times. The results are shown in the table. If Joe runs a generator a total of 4000 times, which is the closest to the expected number of times to integer for is produced?
Answer: since there is no table shown you can’t really tell but the closest would be the number that shows up the most amount of time but you would have to take into consideration of the increase of the number
Step-by-step explanation:
i need this done today
3 yards 2 feet = __________ ft
Answer:
11 feet
Step-by-step explanation:
3 yards equals 9 feet because there are 2 feet in one yard. 2*3=9
9+2= 11
Triangle ABC is similar to triangle WYZ.
Determine whether the following statement is true or false.
sin(B)>sin(Y)
Question 2 options:
True
False
Answer: false
Step-by-step explanation:
Which model represents 1.56+0.33
Pls pls help me
Answer:
Model 2
Step-by-step explanation:
1.56 + 0.33 = 1.89
. If three angle of a quadrilateral are in the ratio 2: 3: 5 and fourth angle is 130
find the angles
Answer:
Step-by-step explanation:
So let the angles be 2x,3x,5x
∠A + ∠B + ∠C + ∠C = 360
[Sum of all the angles of a quadrilateral ]
⇒2x+3x+5x+130=360
⇒10x = 360 -130
⇒x = 23
The angles are ,
∠A = 2x = 2×23 = 46
∠B = 3x = 3×23 = 69
∠C = 5x = 5×23=115
Let the angles be 2x,3x and 5x
We know that 2x+3x+5x+130=360
10x+130=360
10x=230
Therefore x=23°
2x=46°
3x=69°
5x=115°
Hope it helped! Have a nice day!!
given the graph of g (x) below determine g (1)
Answer:
-2
Step-by-step explanation:
Help, ive been stuck on this for 2 hours
2. Find the area of the shaded region to the nearest tenth.
This looks super complicated, but it can actually be solved with the application of a couple of area equations.
Let's establish one fact before we start this question that may have been the reason why this was so confusing for you. No matter what kind of triangle, the area will always be [tex]\frac{1}{2}[/tex] times the length of the base times height.
Alright, with that established, let's start trying to solve for the area.
In this question, we seem to have a triangle with a circle shape taken out of it. We are told to find the area of the shaded area.
The overall equation would be:
[tex]Area_{triangle}[/tex] - [tex]Area_{circle}[/tex]
This makes sense, right? If we find the area of the triangle and subtract the area of the circle within it, it should give us the total shaded area.
Now, let's begin solving for said shaded area:
[tex]Area_{triangle}[/tex] - [tex]Area_{circle}[/tex]
([tex]\frac{1}{2}[/tex] * base * height) - (π*[tex]r^{2}[/tex])
The given base of the triangle is 40 km, the height 27 km, and the circle's diameter is 12. Therefore:
([tex]\frac{1}{2}[/tex] * 40 * 27) - (π * [tex](\frac{12}{2})^{2}[/tex])
(540) - (π * [tex]6^{2}[/tex])
540 - 36π
Use 3.14 as the value for pi:
540 - 36(3.14)
426.96
Round to the nearest tenth:
427.0
Shaded area = 427 ([tex]km^{2}[/tex])
If you have any questions on how I got to the answer, don't be afraid to ask!
- breezyツ
if f(x)=3^x+10 and g(x)=4x-2, (f-g)(x)
Solve the following quadratic equation.
(x-16)^2=256
Answer:
x=32, x=0
Step-by-step explanation:
[tex](x-16)^2=256[/tex]
Take the square root of both sides
[tex]\sqrt{ (x-16)^2}=\±\sqrt{256}\\x-16=\±16[/tex]
x=16+16 or x=16-16
Therefore, x=32 or x=0
I hope this helps!
Answer:
x=32 and x=0
Step-by-step explanation: