Answer: SOLN,
let,<FHC be x
<GHC+<FHC( sum of angle of triangle=180 degree
x+6m+55+8m+55=180
x+ 14m+110=180
x+14m=180-110
x+14m=70
x=70 divied by 14m
x=5m
therefore,the value of <FHC is 5m.
Twins Isaac and Isaiah were just born. Isaac weighs 666 pounds 222 ounces and Isaiah weighs 555 pounds 444 ounces.
How many ounces do Isaac and Isaiah weigh together
9. Find the square root of the following numbers correct to two places of decimal:
a) 0.001
b) 7.01
c) 1.31
with steps pls send
thanks
Answer:
a ) 0.03
b) 2.64
c) 1.14
Step-by-step explanation:
Given :
a) 0.001
Now need to find square root of 0.001
[tex]\sqrt{0.001} =0.03[/tex]
Similarly
b)
[tex]\sqrt{7.01} =2.64[/tex]
c)
[tex]\sqrt{1.31} =1.14[/tex]
Therefore, answer will be :
a ) 0.03
b) 2.64
c) 1.14
Answer: a. 0.03, b. 2.65 c. 1.14
Step-by-step explanation:
You can't find the square root of these manually, so I used a calculator to solve
The expression 2x+(x-7)^2 is equivalent to x^2+bx+49 for all values of x.
what is the value of b?
A. 12
B. -12
C. 14
D. -14
The expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].
Then Value of b is - 12.
Option(B) is correct answer.
What is an expression?An expression is a mathematical phrase combining numbers and/or variables using mathematical operations. Both sides of an equation are expressions.
According to the question,
The expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].
[tex]2x+(x-7)^{2}=x^{2} +bx+49[/tex]
⇒ [tex]2x+(x-7)^{2}=x^{2} +bx+49[/tex]
⇒[tex]2x+x^{2} -14x+49=x^{2} +bx+49[/tex]
⇒ [tex]x^{2} -12x+49=x^{2} +bx+49[/tex]
⇒[tex]-12x=bx[/tex]
⇒ [tex]b=-12[/tex]
∴ [tex]b=-12[/tex]
Hence, the expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].
Then Value of b is - 12.
Option(B) is correct answer.
Learn more about expression here
https://brainly.com/question/19131200
#SPJ2
Three unit squares (1-by-1 squares) and two line segments connecting two pairs of vertices are shown.
What is the area of AABC?
Answer:
Step-by-step explanation:
I don't know if, just because I'm a high school math teacher, I way over-think things, but the method I used to come to the answer here is crazy and convoluted...but it works. Follow me here while I explain it.
I put that drawing you have there in a coordinate plane and made a point D at the end of the segment that begins with A; made a point E at the end of the segment that begins with B. Putting that into a coordinate plane with E at the origin gives A coordinates of (0, 2); B (1, 2); D (2, 1). We need to find the coordinates of C to use later. That's the first job.
When you put this into a coordinate plane, it allows you to write the equations of the segments AD and BE.
AD: y = -1/2x + 2
BE: y = 2x
If you set these equal to each other, you can see where the lines intersect (the coordiantes of this point) by solving for x and y.
-1/2x + 2 = 2x and
2.5x = 2 so
x = .8
And if x = .8, we can sub that into either equation to find y:
y = 2(.8) so
y = 1.6
So the coordinates of C are (.8, 1.6).
Now we can find the lengths of each of these segments AC and BC. We already know that the length of segment AB is 1.
Find the lengths of each of these segments using the coordinates for each in the distance formula. The lengths are as follows:
AC = .8944
BC = .4472
This allows me to use the Law of Cosines to find the measure of angle A.
Angle A = 26.56°
Now I can use the area formula for a triangle that says
[tex]A_{triangle}=\frac{1}{2}AB*ACsinA[/tex] and
[tex]A=\frac{1}{2}(1)(.8944)sin26.56[/tex] so
A = .1999 units squared
y=2x+5
how do i find the x and y coordinates?
Answer:
for each x, the difference in the y value it has an origin at (0,5)
Step-by-step explanation:
if x equals 0, y equals 5.
if x equals 1, y equals 7 and so on
if x equals -1, y equals -5 and so on.
Answer:
I dont know to be honest I dont remember so yeahmmmm ummmmm
write an equation of the line that passes through (0,9) and is perpendicular to the line y= -x+1
Answer:
[tex]y=x+9[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)1) Determine the slope (m)
[tex]y=-x+1[/tex]
This equation can be written as [tex]y=-1x+1[/tex]. Now, we can identify clearly that -1 is the slope of this line. Because perpendicular lines have slopes that are negative reciprocals, we know that the slope of the line we're calculating for is [tex]-(\frac{1}{-1} )[/tex], or just 1.
Plug 1 into [tex]y=mx+b[/tex] as the slope:
[tex]y=1x+b[/tex]
[tex]y=x+b[/tex]
2) Determine the y-intercept (b)
Recall that the y-intercept is the value of y when the line crosses the y-axis. It occurs when x is equal to zero.
The given point is (0,9), meaning that y is 9 when x is 0. Therefore, the y-intercept is 9. Plug this into [tex]y=x+b[/tex]:
[tex]y=x+9[/tex]
I hope this helps!
Find three consecutive odd integers where the sum of the first two numbers multiplied by the last number is 3116.
a. -42, -44, - 46
b. None of these.
c. 37, 39, 41
d. 42, 44, 46
e. 33, 35, 37
The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water is the pool?
Answer:
The height of the water increases 2 inches per minute. Or A
Step-by-step explanation:
Edge
Answer: A ( The height of the water increases 2 inches per minute)
What is the answer? Some please help!!
Answer:
Area of the figure = 200 cm²
Step-by-step explanation:
Area of rectangle A = Length × Width
= 5×9
= 45 cm²
Area of rectangle B = 5 × 11
= 55 cm²
Area of rectangle C = 5 × 9
= 45 cm²
Area of rectangle D = 5 × 7
= 35 cm²
Area of rectangle E = 10 × 2
= 20 cm²
Total area of the figure = 45 + 55 + 45 + 35 + 20
= 200 cm²
What are the coordinates?
Answer:
J - (0, 4) K - (2, 3) L - (3, 4) M - (4, 1) N - (1, 2)
Step-by-step explanation:
So, the first number, is the value on the x axis, The second number, is the value on the y axis.
So lets look at each point. J is at 0 on the x axis, and 4 on the y axis.
K is at 2 on the x axis, and 3 on the y axis.
L is at 3 on the x axis, and 4 on the y axis.
M is at 4 on the x axis, and 1 on the y axis.
Finally, n is at 1 on the x axis, and 2 on the y axis.
Since we write coordinates as (x, y):
K is (2, 3)
L is (3, 4)
M is (4, 1)
N is (1, 2)
Hope this helps!
Help me now please i want to finish this today so I can finish summer school
same i pass im at like 70% Step-by-step explanation:
Gina and her sister built a fort out of boxes. What is the volume of the fort?
Answer:
i don't know its hard
Step-by-step explanation:
SORRY
We will see that the total volume of the fort of boxes is 70.75 ft^3
How to get the volume of the fort?
For a rectangular prism of length L, width W, and height H, the volume is:
V = L*W*H
Then we can find the volume of the 3 boxes shown.
The first one has dimensions of 3ft by 2ft by 2.5ft, so the volume is:
V = 3ft*2ft*2.5ft = 15ft^3
The second box has dimensions of 3ft by 1.75ft by 3ft, so the volume is:
V' = 3ft*1.75ft*3ft = 15.75 ft^3
The last box has dimensions of 4ft by 4ft by 2.5ft, so the volume is:
V'' = 4ft*4ft*2.5ft = 40ft^3
So the total volume of the fort is:
V + V' + V'' = 15ft^3 + 15.75 ft^3 + 40ft^3 = 70.75 ft^3
If you want to learn more about volume, you can read:
https://brainly.com/question/1972490
identify one solution for this graph
Analyze the diagram below and complete the instructions that follow.
3
3
4
45°
h
x
Find the value of x and the value of y.
A X= 4, y = 8
B. x = 7, y = 42
C. x = 413, y = 7/2
D. -73.7=42
Answer:
B) x = 7, y = 4√2
Step-by-step explanation:
Drop a line from the upper left vertex
This creates a rectangle with a bottom side of 3
and an isosceles right triangle with legs of 4
Therefor
x = 4 + 3
x = 7
y = √(4² + 4²)
y = 4√2
The values of x and y from figure are 7 and 4√2 respectively, option B is correct.
When we analyze the diagram, there is a right angle triangle with opposite side of 4 units.
We have to find the values of x and y.
Sine function is a ratio of opposite side and hypotenuse.
sin45=4/y
1/√2 = 4/y
Apply cross multiplication:
y=4√2.
Now let us find the value of x by cosine function.
Cosine is a ratio of adjacent side and hypotenuse.
cos 45 =x/y
1/√2 = x/4√2
Apply cross multiplication:
x=4
Now from diagram x=4+3 =7
Hence, the values of x and y from figure are 7 and 4√2 respectively.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ7
Any help will be greatly appreciated thanks
Answer:
2
Step-by-step explanation:
There are 4 x's at 1 mile so he took 4 1 mile hikes
There are 2 x's at 1 1/4 mile so he took 2 1 1/4 mile hikes
We want to know how many more 1 mile hikes than 1 1/4 mile hikes
4 -2 = 2
For the Transformation T write the T-1
T: (x, y) = (x + 4, y + 3)
Т-1 (x, y) -
(x+3, y + 2)
(x-4, y-3)
(x+, y + 3)
Answer:
(T - 1)(x, y) = (x - 4, y - 3)
Step-by-step explanation:
For a given transformation:
T(x, y) = (x', y')
the inverse transformation is defined by:
(T - 1)(x', y') = (x, y)
So, if our transformation is:
T(x, y) = (x + 4, y + 3)
Then for the inverse transformation, we should have:
(T - 1)(x + 4, y + 3) = (x, y)
So the inverse transformation reduces the x-value by 4, and reduces the y-value by 3.
Writing the inverse transformation for a generic (x, y) point, we get:
(T - 1)(x, y) = (x - 4, y - 3)
The Thomson family spends money each month on the expenses shown.
Drag each expense to show whether it is a fixed expense, a variable expense, or if it is neither of these from month to month.
A right-angled triangle D E F, angle E marked right angle, side E F labeled 7, side D E labeled 24 and hypotenuse D F labeled 25.
Answer:
Ya está resuelto ya
Step-by-step explanation:
Please answer the question below
Answer:
320
Step-by-step explanation:
(2 / 50) * 8000 = 320
Answer:
320
Step-by-step explanation:
more help srry if its annoying
Answer:
4^5
4 by the power of 5
Step-by-step explanation:
4 times the amount of 4's
4 times 5 does not equal 4^5 and is not the answer
it is 4 by the power of 5
Dan sells beaded necklaces. Each large necklace sells for $6.40 and each small necklace sells for $4.80. How much will he earn from selling 7 large necklaces
and 1 small necklace?
Step-by-step explanation:
my horses are working and in the image above
A 200 foot long zipline cable is attached to the top of a tree and extends to an anchor on the ground. The cable makes an angle of 61º with the ground. Calculate how far away the foot of the cable is to the base of the tree.
Answer:
~ 97 ft
Step-by-step explanation:
cos = adj/hyp
cos61 = adj/200
200 * cos61 = adj
adj = 96.961924049267406
~ 97 ft
The foot of the cable is 95 feet away from the base of the tree.
What is Trigonometric Function?Trigonometric functions are mathematical functions that relate the angles of a right triangle to the ratios of the sides of the triangle.
We have,
The angle between the ground and the cable is given as 61º.
In a right triangle, the side opposite the angle (in this case, the height of the tree) is related to the hypotenuse (the length of the cable) and the adjacent side (the distance from the foot of the cable to the base of the tree) by the trigonometric function cosine.
Cosine(angle) = adjacent/hypotenuse
Cos(61º) = adjacent/200 ft
adjacent = Cos(61º)x200 ft
adjacent ≈ 0.475 x 200 ft
adjacent ≈ 95 ft
Therefore, the foot of the cable is 95 feet away from the base of the tree.
Learn more about Trigonometric Ratio here:
https://brainly.com/question/23130410
#SPJ2
Write as an equation in two variables: k(x) = -4x-1
Answer:
y = -4x - 1
Step-by-step explanation:
k(x) = -4x - 1
replace k(x) with y
y = -4x - 1
Answer:
y = -4x - 1
Step-by-step explanation:
9. Rachel wants to draw a triangle with
sides of length 4 cm and 5 cm. What is
a possible length of the third side?
I think its 6 cm for the 3rd side
What is the sum of 3/10 and 1/3
Answer:
19/30
Step-by-step explanation:
3/10 + 1/3
Get a common denominator of 30
3/10 * 3/3 + 1/3 * 10/10
9/30 + 10/30
19/30
Answer:
19 / 13
Step-by-step explanation:
➟ 3 / 10 + 1 / 3
➟ 3 / 10 × 3/3 + 1 /3 × 10 /10
➟ 3 × 3 / 10 × 3 + 1 × 10 / 3 × 10
➟ 9 / 30 + 10 / 30
➟ 9 + 10 / 30
➟ 19 / 30
Mr. Dominguez wrote the formula below to calculate o, the acceleration of his motor.
V-S
а
t-b
Solve Mr. Dominguez's formula for t, the final time.
Answer:
t = {(v - s) + ab} / a
Step-by-step explanation:
a = (v - s) / (t - b)
Make t the subject of the equation
a = (v - s) / (t - b)
Cross product
a * (t - b) = (v - s)
at - ab = (v - s)
Add ab to both sides
at = (v - s) + ab
t = {(v - s) + ab} / a
Given: m∠ELG = 124°
Prove: x = 28
3 lines are shown. A line with points D, L, G intersects a line with points E, L, H at point L. Another line extends from point L to point F between angle E L G. Angle D L E is (2 x) degrees.
Complete the steps in the two-column proof.
♣:
♦:
Answer:
clover
Step-by-step explanation:
because
The measure of angle ∠x = 28°.
We have a geometrical figure [Refer to the image attached in the end].
We have to prove that x = 28°.
What is the measure of a Straight angle.The measure of straight angle is 180°.
According to the question -
Line DLG is a Straight line. Therefore -
2∠x + 124° = 180°
2∠x = 56°
∠x = 28°
Hence Proved.
To solve more questions on finding unknown angles, visit the link below-
https://brainly.com/question/28010527
#SPJ2
Help plz
Edkdiuddkdkdkdjdjdhsuehehdhd
Answer:
answer will be
Step-by-step explanation:
12
option d
 can someone pls help for brainlest
Answer:
[tex]surface \: area = area \: of \: base + area \: of \: the \: 4 \: triangular \: faces \\ = (l \times w) + 8 \times ( \frac{1}{2} \times base \times height) \\ = (4 \times 4) + 8 \times ( \frac{1}{2} \times 2 \times 7) \\ = 16 + 56 \\ = { \boxed{72}} \: square \: millimeters[/tex]
M and n are both integers. Select all the statements that are true if m and n are also equal to each other.
The question is incomplete. The complete question is :
M and n are both integers. Select all the statements that are true if m and n are also equal to each other.
A. m - n = n - m
B. 0 = m - n
C. m + (-n) = m - n
D. m + n = 0
Answer :
A. m - n = n - m
B. 0 = m - n
C. m + (-n) = m - n
Explanation :
It is given that m and n are integers and they both are equal to each other.
i.e. m = n
Therefore for option (A),
m - n = n - m
m - m = m - m (since m and n are equal)
0 = 0
Therefore, the statement (A) is true.
For option (B),
0 = m - n
0 = m - m (since m and n are equal)
0 = 0
Therefore, the statement (B) is true.
For option (C),
m + (-n) = m - n
m + (-m) = m - m (since m and n are equal)
m - m = m - m
0 = 0
Therefore, the statement (C) is true.
Now for option (D),
m + n = 0
m + m ≠ 0 (since m and n are equal)
2m ≠ 0
Therefore, the statement (D) is false.
Hence, the options (A), (B) and (C) are true.