Answers
Answer:
[tex]\text{B. }12.6[/tex]
Step-by-step explanation:
The cut the construction worker makes forms two right triangles. Therefore, we can use the Pythagorean theorem to solve this problem:
The Pythagorean theorem states that for any right triangle, the following is true: [tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle and [tex]c[/tex] is the hypotenuse.
[tex]a^2+b^2=c^2,\\12^2+4^2=c^2,\\c^2=160,\\c\approx \boxed{\text{B. }12.6}[/tex]
Related Questions
The cost of buying salad from a salad bar is at least $4.50 per pound. Which inequality represents the price per pound of salad?
x ≥ 4.50
x = 4.50
x < 4.50
x > 4.50
Answers
Step-by-step explanation:
We know from the problem that the salad is going to cost at least $4.50 per pound. Therefore, it is entirely possible for the cost to exceed $4.50, but it cannot be lower than $4.50 because then it would not be equal to $4.50.
So, there would be a greater-than sign pointing toward the s (which I seemingly cannot depict on here for some reason...)
Answer: x ≥ 4.50
Because the cost is at least $4.50 per pound
11) What is the perimeter of the object *
15 mm
7 mm
12 mm
8 mm
42 mm
O
70 mm
65 mm
47 mm
Answers
Answer:
[tex]perimeter = 15 + 7 + 8 + (12 - 8) + (15 - 8) + 12 \\ = 53 \: mm[/tex]
The perimeter of the figure is 70 mm.
Option B is the correct answer.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
The figure has two rectangles.
Bigger rectangle.
Length = 15 mm
Width = 12 mm
Smaller rectangle.
Length = 8 mm
Width = (12 - 7) mm = 5 mm
Now,
The perimeter of the figure.
= 12 + 15 + 7 + 8 + 5 + (15 + 8)
= 12 + 15 + 7 + 8 + 5 + 23
= 70 mm
Thus,
The perimeter of the figure is 70 mm.
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A ski slope is 250 yards long with a vertical drop of 100 yards. Find the angle of depression of the
slope.
Answers
Step-by-step explanation:
would you still like me to help you with this question
Angle of depression of the slope is 24. degree.
Angle of depression is equal to the angle of elevation.
sine = the vertical drop/ the ski slope
sine = 100/250
= 2/5 = 0.4.
sine - 1 (0.4) = 23.57 which is about 24 degree.
Therefore, the correct angle of depression of the slope is approximately 24 degree.
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PLZZ HELP.... I NEED MY GRADE TO GO UP BC ITS ALMOST MY BIRTDAY AND I CANNOT FAIL!! PLLLLLLLSSSSSSS WILL MARK Brainliest
Last Sunday Lily and Maddie went to Sarah’s Sweet Shop and purchased one cupcake and one brownie. Their bill was $4.50.
The next day they brought their friend Jessica and purchased 3 cupcakes and one brownie. This time their bill was $9.50.
Let x represent the price of each cupcake.
Let y represent the price of each brownie.
2.The first equation in the system is: x+y=4.50x+y=4.50
3.The second equation in the system is : 3x + y = 9.50
4.Solve the system from question 3 to find the price per cupcake.
5.Find the price per brownie.
6.Find the total cost to purchase 4 cupcakes and 4 brownies from the shop.
Answers
Answer:
Each cupcake cost $2.50 and each brownie cost $2.00
Step-by-step explanation:
Let x represent the price of each cupcake and let y represent the price of each brownie.
Lily and Maddie bought one cupcake and one brownie for $4.50. Hence the equation is:
x + y = 4.50 (1)
Also Jessica purchased 3 cupcakes and one brownie for $9.50. Hence the equation is given by:
3x + y = 9.50 (2)
To find the price of each cupcake and brownie, we solve equation 1 and 2 simultaneously. To find x, subtract equation 1 from equation 2:
2x = 5
x = $2.50
Put x = $2.50 in equation (1):
2.50 + y = 4.50
y = $2.00
Therefore each cupcake cost $2.50 and each brownie cost $2.00
5. How many 1/2 cups can be filled with 500 milliliters of liquid?
Answers
Answer:4
Step-by-step explanation:
1/2 cups equal 120 ml
so we have 500 ml and in order to find how many 1/2 cup can you find 500ml
ans = 500/120 = 4.16666666667 now we will try to convert it into a whole number which equal to four (4)
What is another expression to show 9/2
Answers
Answer:
9 ÷ 2
Step-by-step explanation:
or draw that small house thing over the 9 an place 2 to the left of it.
A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line?
Enter your equation in the space provided. Enter only your equation.
Answers
Answer:
y = 3x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (2, 10 )
m = [tex]\frac{10-4}{2-0}[/tex] = [tex]\frac{6}{2}[/tex] = 3
The y- intercept c = 4
y = 3x + 4 ← equation of line
What is equivalent to 5 to the third power?
Answers
Answer:
125
Step-by-step explanation:
5 to the third power is 125
What is the result when the Number 90 is decreased by7.1% Round your answer to the nearest tenth 
Answers
Answer:
83.61
Step-by-step explanation:
90 decreased by 7.1% = 83.61
Mark my answer as brainliest please.
Answer:
answer =83.61
Step-by-step explanation:
90( 1 - 7.1 / 100 )
lets break it down
step 1: 7.1 / 100 = 0.071
step 2: 1 - 0.071 = 0.929
step 3: 90 x 0.929 = 83.61
final answer = 83.61
40 POINTS/BRAINLIEST IF RIGHT
permutations of word MADISON
-a problem set-
Answers
Answer:
the correct answer is c
Step-by-step explanation:
the correct answer is c
Identify the y-intercept of the line.
y=-1/2 +3x
Answers
y=-1/2
explanation:
Answer: the y-intercept is 1/2
stuck on this question, was due yesterday!!!!
Answers
Answer:
c
all the other numbers are too high
hey! i’ll give brainliest help thanks
Answers
Answer:
to one's liking; pleasing: agreeable manners;an agreeable sensation. willing or ready to agree or consent: Are you agreeable to my plans for Saturday i would go for A ore BStep-by-step explanation:
There are 7 movies that Christine wants to see over winter break. She only has time to see 4 of the movies. How
many different groups of 4 movies are possible, if the order in which they are seen is not important?
Answers
Answer:
35
Step-by-step explanation:
sdfghjkolkgdsdfghjkl
The possible number of the group the movies will be 840.
What are permutations and combinations?Permutation and combination are counting principles that are used in a variety of situations. A permutation is a count of the various arrangements that can be made from a given set of items. Details matter in permutation because the order or sequence is important.
Given that there are 7 movies that Christine wants to see over winter break. She only has time to see 4 of the movies.
The combinations will be calculated as:-
Combination = ⁷C₄
Combination = ( 7 x 6 x 5 x 4 )
Combination = 840
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Professor Rosencrantz flips a fair coin once. Professor Guildenstern flips a fair coin three times. What is the probability that Professor Rosencrantz obtains more heads than Professor Guildenstern
Answers
Answer:
9/13 = 0.6923
Step-by-step explanation:
We start by defining
A as event that head was flipped
B1 = event that coin is biased
B2 = event that it is unbiased
P(B1) = 3/5
P(B2) = 2/5
P(A|B1) = 3/4
P(A|B2) = 2/4 = 1/2
When we solve this using bayes theorem we have to find
p(B1|A) = [P(B1) x P(A|B1)]/[P(B1) x P(A|B1) + P(B2) x P(A|B2)
= 0.6 x 0.75 / 0.6 x 0.75 + 0.4x0.5
= 0.45/0.45+0.2
= 0.45/0.65
= 0.6923
please brainliest
please help!! I'm really stuck on this
Answers
Answer:
V = 5cm * 2 cm * 8 cm
Step-by-step explanation:
Volume is the length times the width times the height
V = l*w*h
V = 5cm * 2 cm * 8 cm
What volume of coppr ( density 8.96g/cm3)would be needed to balance a 2.28 cm3sample of lead (density 11.4g/cm30 on a two-pan laboratory balance
Answers
Answer:
2.9 cm³
Step-by-step explanation:
Note: For the copper and the lead to balance, they must have thesame mass.
Applying,
D' = m'/V.................... Equation 1
Where D' = density of the lead, m' = mass of the lead, V = Volume of the lead.
make m' the subject of the equation
m' = D'V................ Equation 2
From the question,
Given: D' = 11.4 g/cm³, V = 2.28 cm³
Substitute these values into equation 2
m' = (11.4×2.28)
m' = 25.992 g
Similarly,
for copper,
D = m/V............... Equation 3
Where D = density of copper, m = mass of copper, V = volume of copper.
make V the subject of the equation
V = m/D.............. Equation 4
where, m = m' = 25.992 g
Given: D = 8.96 g/cm³
Substitute these values into equation 4
V = 25.992/8.96
V = 2.9 cm³
If the ray ML makes an angle measuring 2 radians with the ray MN, and the length of the arc intercepted by the angle is 72 inches, what is the radius of the window?
Answers
Answer:
36 inches
Step-by-step explanation:
From the diagram attached,
Applying
s = 2πr∅/360
Where s = lenght of the arc, r = radius of the window, ∅ = angle formed in degree, π = pie.
make r the subject of the equation
r = 360s/2π∅................... Equation 2
From the question,
Given: s = 72 inches, ∅ = 2 radians = 114.6°
Constant: 3.14
Substitute these values into equation 2
r = (360×72)/(114.6×3.14×2)
r = 25920/719.688
r = 36 inches
The results of a poll show that between 43% and 55% of the population support an increase in sales tax to pay for a new sports stadium.
a) What is the point estimate?
b) What is the margin of error?
Answers
Answers:
a) The point estimate is 49%b) The margin of error is 6%==========================================================
Explanation:
The point estimate is the midpoint of the two ends. We add up the endpoints and divide by 2 to get the midpoint. We have p = 0.43 and q = 0.55, so we get the midpoint (p+q)/2 = (0.43+0.55)/2 = 0.98/2 = 0.49, then this converts to 49%. Meaning 49% is exactly at the midway point of 43% and 55%
---------
The margin of error is the distance from the midpoint to either endpoint. If we try to aim for 49%, but have some error, then we have an error of 55-49 = 6%, or we could say 49-43 = 6%; either way the margin of error is 6 percentage points.
The formula we can use is (q-p)/2 where p and q are the left and right endpoints of the interval. So in this case, we'd have,
(q-p)/2 = (0.55-0.43)/2 = 0.12/2 = 0.06 = 6% margin of error
---------
Side note: We can think of it as if 49 is the center and 6 is the radius of the circle. We want to hit the center of the circle, but we have an error of 6 (meaning that's how far we could go in either direction).
what should be subtracted from 3x to Gate 3 X - 2y
Answers
Answer:
3x-2y
Step-by-step explanation:
2y must be subracted
Courtney and Alan are conducting an experiment Every time Courtney a fair two-sided coinAlan rolls a six-sided die. What is the probability that the coin will land on heads and the die will land on 2?
A- Independent
B- dependent
C- mutually exclusive
D- inclusive
Answers
Can I get brianliest plz
Answer:
The answer is C
Step-by-step explanation:
Please help fast I’d really appreciate it
Answers
Step-by-step explanation:
4) lower, greater
5) The precision of the instrument would be 0.1 cm
The graph of a quadratic function is shown on the grid. Which equation best represents the axis of symmetry?
Answers
Answer:
x = 2
Step-by-step explanation:
The "axis of symmetry" of a quadratic graph is the vertical line through the vertex. Identifying the vertex in the given diagram as (2, 6), we can immediately write the axis of symmetry as x = 2.
indentify the center and radius: (x + 4)2 + (y + 5)2 = 64
please helppp!!
Answers
Answer:
4th option
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x + 4)² + (y + 5)² = 64 ← is in standard form
with h = - 4, k = - 5 and r = [tex]\sqrt{64}[/tex] = 8
centre = (- 4, - 5) and r = 8
Please help ASAP ty!
Answers
Answer:
C. 70
Step-by-step explanation:
5(x+9)5(5+9)25+4570stay safe healthy and happy..Step-by-step explanation:
● 5(x+9)
● 5 (5)
● 5×9=45
● 5×5=25
● 45+25=70
■C.70A bag contains 11 tiles, one for each of the letters in the word BLUEBERRIES. You randomly choose a tile.
Find the probability that you choose a tile with the letter R. Write as a reduced fraction (numerator/denominator).
PLEASE HELP!
Answers
there’s 2 R’s and 11 total so
possible outcomes/ overall outcomes
Answer:
2/11
Step-by-step explanation:
There are 11 tiles and 2 of the have R's on them, so it is 2 out of 11, or 2/11
Please Help asap :((
A circle is represented by the equation below:
(x - 9)2 + (y + 8)2 = 16
Which statement is true? (6 points)
The circle is centered at (-9, 8) and has a radius of 8.
O The circle is centered at (9,-8) and has a radius of 8.
O The circle is centered at (9,-8) and has a diameter of 8.
The circle is centered at (-9, 8) and has a diameter of 8.
Answers
Answer:
The circle is centered at (9, -8) and diameter 8.
Step-by-step explanation:
(x-h)^2 +(y-k)^2 =r^2
(x-9)^2+(y+8)^2=4^2
Center: (h,k) = (9,-8)
Radius: r=4
The circle is centered at (9, -8) and radius is 4 or diameter 8.
In ΔXYZ, ∠X=40° and ∠Y=45°. ∠XWZ=90° and XY=12. Find the length of XW to the nearest integer
Answers
Answer:
7
Step-by-step explanation:
7
ILL GIVE BRANLIEST HELP ASAP I HAVE 5 MINUTES
Answers
Answer:
480 inches cubed
Step-by-step explanation:
in scientific notation, 6840 is
Answers
hope this helps!