Answer:
Step-by-step explanation:
x is the length of the side opposite the reference angle of 32, and 10 is the side length adjacent to the reference angle. This satisfies the tangent ratio where
[tex]tan32=\frac{x}{10}[/tex] and solving for x:
x = 10tan32
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
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.
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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
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!
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.
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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)
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.
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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
F(x) = 7
G(x) = 7^x + 6
Which statement about f(x) and it’s translation, g(x) is true ?
Answers shown in picture*
Answer:
the fourth one is correct
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.
 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]
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
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.
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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
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
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
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
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
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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.
Help!! YEEEEEEEEEEEEEEEEEET
Answer:
Step-by-step explanation:
Degree of quadratic equation is 2
So, y = (x + 2)² - 6 ; y = x² - 4x + 2 & y = -(x -2)² + 5 are quadratic equation
(a + b)² = a² + 2ab + b²
y = (x + 2)² - 6
y = x² + 2*x*2 + 2² -6
y= x² + 4x + 4 -6
y= x² + 4x - 2
Degree = 2
y = -(x - 2)² + 5
y = -[ x² - 2*x*2 + 2²] + 5
y = -[x² - 4x + 4)+5
y = -x² + 4x - 4 + 5
y = -x² + 4x + 1
Degree = 2
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 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!
I will give brainiest
Answer:
I think is letter B
Step-by-step explanation:
Because I already answer that and my answer is letter B...trust me
Help plz
Edkdiuddkdkdkdjdjdhsuehehdhd
Answer:
answer will be
Step-by-step explanation:
12
option d
please help me u guys!!
A) Create a Venn Diagram that shows the relationship between A, B, and the Universal Set.
B) What is (AUB)?
C) What is (AnB)?
D) What is A^c?
Answer:
{a universal set is a set which contains all objects, including itself}
Step-by-step explanation:
a) you will create two circle, crossing over each other, and shade both the "A" the "B" and the middle space.
b) (AUB) means the same thing as universal set, but its called union, infact if you draw this out in Venn Diagrams this will be the exact same as answer (a).
c) A n B : mean A 'intersection' with B, so here you will only shade the area where both circles meet.
d) i am not sure of this one, sorry
identify one solution for this graph
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:
Please answer the question below
Answer:
320
Step-by-step explanation:
(2 / 50) * 8000 = 320
Answer:
320
Step-by-step explanation:
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