Answer:
[tex]x=43[/tex]
Step-by-step explanation:
Corresponding angles are equal. It is implied that the two angles referred to in the triangles are equal, otherwise they should not be labelled as corresponding.
Therefore, we can set both equations equal to each other:
[tex]2x-5=81^{\circ}[/tex]
Add 5 to both sides:
[tex]2x=86[/tex]
Divide both sides by 2:
[tex]x=\frac{86}{2}=\boxed{43}[/tex]
Type the correct answer in the box.
The formula for the volume, V, of a cone having the radius, r, and the height, h, is shown below.
V = 3721
Write the formula to calculate the height, h.
Answer:
V=1/3(pi)*r^2*h
Step-by-step explanation:
Think about a cylinder. If you combine 3 cones, you get a cylinder. Find the volume of a cylinder
Answer:
Step-by-step explanation:
V = 1/3 r^2 * π * h
3V = r^2 *π * h
3V/π = r^2 * h
h = 3V/(r^2 * π)
Find x
(Help please)
Missy’s rotation maps point K(17, –12) to K’(12, 17). Which describes the rotation?
270 degrees counterclockwise rotation
90 degrees counterclockwise rotation
90 degrees clockwise rotation
180 degrees rotation
it's a 90 degree counterclockwise rotation around the origin (0,0).
see the screenshot for illustration
Answer:
B.
Step-by-step explanation:
Help me with the diagram please!!!
Answer:
(B) 30
Step-by-step explanation:
Imagine you drew a line from Point T until it touched Line PR. Let's call that point where it touched Line PR "Point Z".
That line (called Line TZ) would be perpendicular to PR, forming a 90 degree angle.
Now, TZW is a triangle.
To find x, we need to find the angle measurment of Angle ZTW.
This is where we use the hexagon.
A hexagon's interior angle sum is 720, meaning each interior angle is equal to 120 degrees. So Angle UTS would equal 120 degrees.
However, Line TZ bisects that 120 degree angle, so Angle ZTW would equal 60 degrees (because 120/2 = 60).
Now we have two angles of the triangle: 90 & 60.
A triangle's interior angle sum is 180.
Add 90 & 60, which is 150, and subtract 150 from 180.
The result is 30, which is the angle measurement of x.
Hope it helps (●'◡'●)
Helppppp pls and thankyouuu
Answer:
20 minutes on the stationary bike
10 minutes on the treadmill
Step-by-step explanation:
x = minutes on bike
y = minutes on treadmill
x + y = 30
12x + 15y = 390
x = 30-y
12(30-y) + 15y = 390
360 - 12y + 15y = 390
3y = 30
y = 10
x + 10 = 30
x = 20
For 12-15, find the missing measures
Multiplicar:
a. (– 6) (– 7) =
b. – 12 x – 5 =
c. (+ 10) (– 6) =
d. (– 15) (+ 5) =
e. (+ 11) (+6) =
f. (– 3) (– 5) (– 6) =
g. (– 8) (+6) (-3) =
h. (- 5) (+ 3) (+9) =
Answer:
a. 42
b. -12x-5
c. -60
d. -75
e. 66
f. -90
g. 144
h. -135
Describe the graph of the line y = 15
A) line with slope of 15
B) crosses the x-axis
C) vertical line
D) horizontal line
23 x 32 is the prime factorization for which one of these choices?
⟶ 2³ × 3² is the prime factorization for which one of these choices?
Let's check,
1) 6 = 3 × 2 [So, obviously not this choice]
2) 25 = 5 × 5 = 5² [Not this either]
3) 36 = 3 × 2 × 2 × 3 = 3² × 2² [Doesn't match with 2³ × 3²]
4) 72 = 2 × 2 × 2 × 3 × 3 = 2³ × 3² [Matches]
⟶ The answer is, choice 72.
[tex]\underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex]
what is the commen diffrence for this geometric sequnce 4,24,144,864
Answer:
your answer is in the attachment... hope this helps you.!!!!Please help! i have no idea how to do this, all i know is it's the sine rule. it's due tomorrow so if you know how to do this please help haha
Answer:
93.2°
Step-by-step explanation:
[tex]\frac{sin(38)}{9} = \frac{sin(c)}{11}[/tex] ... c =48.8
a =180-(38+48.8) = 93.2
A line passes through the points (-1, -1)
and (5,8). Which points lie on the same
line? Select all that apply.
(-3, -4)
(9, 14)
(1, 2)
(4, 7)
(3,5)
(-2,-2)
Given:
A line passes through the points (-1, -1) and (5,8).
To find:
Which points lie on the same line?
Solution:
If a line passes through two points, then the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
A line passes through the points (-1, -1) and (5,8). So, the equation of the line is:
[tex]y-(-1)=\dfrac{8-(-1)}{5-(-1)}(x-(-1))[/tex]
[tex]y+1=\dfrac{8+1}{5+1}(x+1)[/tex]
[tex]y+1=\dfrac{9}{6}(x+1)[/tex]
[tex]y+1=\dfrac{3}{2}(x+1)[/tex]
Multiply both sides by 2.
[tex]2(y+1)=3(x+1)[/tex]
[tex]2y+2=3x+3[/tex]
[tex]2y=3x+3-2[/tex]
[tex]y=\dfrac{3}{2}x+\dfrac{1}{2}[/tex]
So, the equation of the line is [tex]y=\dfrac{3}{2}x+\dfrac{1}{2}[/tex].
Now, check each point for this equation.
Putting [tex]x=-3[/tex], we get
[tex]y=\dfrac{3}{2}(-3)+\dfrac{1}{2}[/tex]
[tex]y=\dfrac{-9+1}{2}[/tex]
[tex]y=\dfrac{-8}{2}[/tex]
[tex]y=-4[/tex]
Similarly,
For [tex]x=9,y=15[/tex].
For [tex]x=1,y=2[/tex].
For [tex]x=4,y=6.5[/tex].
For [tex]x=3,y=5[/tex].
For [tex]x=-2,y=-2.5[/tex].
Therefore, the points (-3,-4), (9,14), (1,2) and (3,5) lie on the same line but the points (4,7) and (-2,-2) are not on that line.
subtract 111 from 11010
Answer : I think it is 10899
A carpet manufacturer is inspecting for flaws in the finished product. If there are too many blemishes, the carpet will have to be destroyed. He finds the number of flaws in each square yard and is interested in the average number of flaws per 10 square yards of material. If we assume the standard deviation of the number of flaws per square yard is 0.6, the sample mean, , for the 10 square yards will a standard deviation of
Answer:
10 square meters will have a standard deviation of 1.897.
Step-by-step explanation:
Standard deviation for n instances of a variable:
If the standard deviation for one instance of a variable is [tex]\sigma[/tex], for n instances of the variable, the standard deviation will be of [tex]s = \sigma\sqrt{n}[/tex]
The standard deviation of the number of flaws per square yard is 0.6
This means that [tex]\sigma = 0.6[/tex]
For the 10 square yards will a standard deviation of
[tex]n = 10[/tex], so:
[tex]s = \sigma\sqrt{n} = 0.6\sqrt{10} = 1.897[/tex]
10 square meters will have a standard deviation of 1.897.
PLEASE HELP SUMMER SCHOOL!!!!
Ed is 7 years older than Ted. Ed’s age is also times Ted’s age. How old are Ed and Ted?
A.
Ted is 15 years old, and Ed is 22 years old.
B.
Ted is 14 years old, and Ed is 21 years old.
C.
Ted is 13 years old, and Ed is 20 years old.
D.
Ted is 12 years old, and Ed is 19 years old.
Answer:
EXPLAINED ON THE ATTACHED
Which expressions are equivalent to 6 - 4.5+ (-8) ?
A 6 + 4.5 + 8
B 6 + 4.5 - 8
C 6 – 4.5'+8
D 6 - 4.5 - 8
E 6+(-4.5) - 8
F 6+(-4.5) + (-8).
G 6+ (-4.5) - (-8)
Answer:
I'm pretty sure the answers are options D , E and F .
Step-by-step explanation:
So here's how I did it , I got the original expression , solved it and the answer I found is -6.5. So then I solved all the others and D , E and F gave me -6.5.
Hope this helps lol
y4+5y2+9 factorise please help me
[tex]\displaystyle\ y^4 +5y^2+9=(y^2+3)^2-y^2=(y^2-y+3)(y^2+y+3)[/tex]
Answer:
Solution given;
[tex] y^{4}+5y²+9[/tex]
keeping [tex]y^{4} and 9 together [/tex]
[tex]y^{4}+9+5y²[/tex]
[tex](y²)²+3²+5y²[/tex].....[I]
we have
a²+b²=(a+b)²-2ab
or
a²+b²=(a-b)²+2ab
same like that
[tex](y²)²+3²=(y²+3)²-6y² or (y²-3)²+6y²[/tex]
remember that while adding or subtracting the left term 5y² either adding 6y²or subtracting 6y²
should make the term perfect square
while subtracting it makes perfect square
so
we take
(y²)²+3²=(y²+3)²-6y²
again
substituting value of
(y²)²+3² in equation 1 and it becomes
(y²+3)²-6y²+5y²
solve like terms
(y²+3)²-y²
again
we have
a²-b²=(a+b)(a-b)
by using this.
(y²+3+y)(y²+3-y)
rearrange it
(y²+y+3)(y²-y+3) is a required factorisation form.
Solve the equation: (1 - 2x)(1 - 3x)=(6x - 1)x - 1
Answer:
x=0.5 or 1/2
Step-by-step explanation:
15. A line is given by the equation y = 49. What is the equation
of the perpendicular line that passes through the point (12, 35)?
The equation of the line is given by x
Answer:
x=12
Step-by-step explanation:
Line that's perpendicular to y=49 should be a vertical line of the form x=a
Now the line passes through (12,35) so the equation of the line is,
x=12
Answered by GAUTHMATH
Please help me I need this doing for my maths hwk and I really don’t know
(Please use a separate piece of paper to calculate the answer for this problem.) A study to determine the sensitivity and specificity of a new test for macular degeneration is conducted on 2430 people. Macular degeneration occurs at a rate of 16.72 percent. Your sample has the same prevalence of macular degeneration. You find that 377 people with macular degeneration tested positive with the new test. You also have a total of 561 positive test results in your study. CALCULATE THE POSITIVE PREDICTIVE VALUE of this test under these circumstances. Group of answer choices 83.29% 98.45% 67.20% 92.86% 23.09%
Answer:
[tex]67.20\%[/tex]
Step-by-step explanation:
Given
[tex]n =2430[/tex] --- sample
[tex]r = 16.72\%[/tex] --- degeneration rate
From the findings, we have:
[tex]p = 377[/tex] --- tested positive
[tex]t =561[/tex] --- total test
Required
The positive predicted value (PPV)
This is calculated using:
[tex]PPV=\frac{Positive}{Total}[/tex]
i.e.
[tex]PPV = \frac{377}{561}[/tex]
[tex]PPV = 0.6720[/tex]
Express as percentage
[tex]PPV = 0.6720 * 100\%[/tex]
[tex]PPV = 67.20[/tex]
Sierra's ice cream shop made $45 before she had to close early when the power went out. She realized she lost 3 of
a dollar each hour when the shop was closed. The expression that models this situation is 45-n. What was Sierra's
profit if the shop was closed for 8 hours?
$24
$36 $41
$49 hurry I'm being timed!
Answer:
We know that the expression that models the situation is:
45 - n
Where n is the amount that she lost.
We know that she lost $3 for each hour closed.
And the shop was 8 hours closed, so the total loss is:
8*$3 = $24
The profit is the difference between the revenue (we know that it is $45) and the loss (we know that it is $24)
Then the profit is:
$45 - $24 = $21
Evaluate
-2 x 3/12 x 5/10 x 7/15
[tex]\displaystyle\Large \boldsymbol -2 \cdot \frac{3}{12} \cdot \frac{5}{10} \cdot \frac{7}{15} =-2 \cdot \frac{3 \!\!\!\!\diagup \cdot1}{3 \!\!\!\!\diagup\cdot 4} \cdot \frac{5 \!\!\!\!\diagup\cdot 1}{5 \!\!\!\!\diagup\cdot 2} \cdot \frac{7}{15} =\\\\\\-\frac{2 \!\!\!\!\diagup\cdot 7 }{2 \!\!\!\!\diagup\cdot 4 \cdot 15} =\boxed{-\frac{7}{60}}[/tex]
Solve the inequality. w/-2<8
Answer:
w > -16
Step-by-step explanation:
Find the Value of x a.86 b.79 c.65 .72
Answer: D
Step-by-step explanation:
360° - 90° - 90° - 108° = 72°
(Sum of angles in a quadrilateral = 360°)
Find the x of a triangle.
This triangle is an isosceles triangle because it has two congruent sides. Therefore, the two bottom angles are also congruent. And, the sum of the interior angles of a triangle is 180 degrees.
180 = 104 + (9x - 25) + (9x - 25)
180 = 104 + 18x - 50
180 = 54 + 18x
126 = 18x
x = 7
Hope this helps!
The entry for a science exhibition is $5 for students and four dollars more than the students for adults. On a particular day, 600 people visited the exhibition and $3500 was collected. How many students and adults visited on that day?
Answer:
475 students, 125 adults
Step-by-step explanation:
x + y= 600......equation 1
5x +9y= 3500.......equation 2
From equation 1
x +y = 600
x= 600-y
Substitute 600-y for x in equation 2
5(600-y) +9y= 3500
3000-5y+9y= 3500
3000+4y= 3500
4y= 3500-3000
4y= 500
y= 500/4
y= 125
Substitute 125 for y in equation 1
x + y= 600
x + 125= 600
x = 600-125
x= 475
Hence there are 475 students and 125 adults
A trader bought some oranges at 5c each She finds that 6 of them are rotten. She sells the rest at 8c each and makes a profit of $4,50. How many oranges did she buy? (Hint: let the number of oranges be x. Work in cents.)
can someone please help me
TIMED HELP PLEASE. Determine whether the equation is an identity or not an identity.
Answer:
It's an identity
Step-by-step explanation:
The answer is an identity
I identity are composed by sin^2 and cos^2
Tan^2 can be simplified into those two sin n cos
please help i have class soon :(
John used digits from 0 to 6 only to create a three-digit PIN code. He forgot his PIN code. He remembers that his code contains different ascending digits. What is the maximum number of combinations John has to check to find his PIN code?
this was incorrect.
im sorry :(
Answer:
35
Step-by-step explanation:
We know that the numbers have to be in ascending order. If, for example, the first digit is 0, and second digit is 1, then we would have 5 other numbers in the ones place that would be larger. If the second digit is 2, then would would have 4 other numbers that would be larger, and so on. So if 0 is the first digit, then we would have 5+4+3+2+1=15 combinations. If 1 is the first digit, then we would have 4+3+2+1 combinations. Eventually, we would get 35.
