Answer:
Below in bold.
Step-by-step explanation:
z = 87 degrees ( vertical angles)
9x - 87 = 180 - z ( adjacent angles are supplementary)
9x - 87 = 180 - 87
9x = 180
x = 20 degrees.
Eleanor is sewing a tablecloth for her circular kitchen table . The length from one edge of the table to the other 3ft. What is the minimum amount of fabric that Eleanor needs to purchase?
Answer:
[tex]7.07ft^{2}[/tex] or [tex]2.25\pi[/tex]
Step-by-step explanation:
To find the minimum amount of fabric, one needs to find the area of the table, the equation for the area of a circle is [tex]A=\pi r^{2}[/tex]
The question gives the length from one edge of the table to the other, this can also be defined as the diameter, the diameter is equal to double the raidus so dividing the diameter in half gives the radius. The radius of this table is calculated to be 1.5 ft.
Plugging in our radius to the area equation we get [tex]A=\pi 1.5^{2}= 7.07ft^{2}[/tex] or [tex]2.25\pi[/tex]
The diagram shows a circle with centre
O.
A, B, and C lie on the circumference of
the circle.
X, A and Y lie on a tangent to the circle.
Work out:
(i)
(ii) ABC
С
x
ö
163°
В
B
A69°
The diagram is not drawn accurately.
r
o
O
ACB =
=
.
0
LABCE
0
Answer:
This is my notes
Step-by-step explanation:
The value of angles are,
⇒ ∠ACB = 48°
⇒ ∠CBA = 48°
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
A, B, and C lie on the circumference of the circle.
And, X, A and Y lie on a tangent to the circle.
Now, We get;
⇒ ∠XAC + ∠CAB + ∠BAY = 180°
⇒ 63° + ∠CAB + 69° = 180°
⇒ ∠CAB = 180 - 132
⇒ ∠CAB = 48°
Hence, We get;
⇒ ∠ACB = 48°
⇒ ∠CBA = 48°
Thus, The value of angles are,
⇒ ∠ACB = 48°
⇒ ∠CBA = 48°
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The value of (2i3)3 is
IS
Answer:
Assuming you mean (2^3)3, the answer is 24
Step-by-step explanation:
using pemdas you do 2 to the third power first
2x2=4 4x2=8
then you mutiply by the number not in parenthesis; 3
8x3 = 24
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Bob knew that he was standing 50 feet from the base of a flag pole and was looking up at a 25° angle. How tall the flag pole?
Perpendicular we need(Let it be P
Base=B=50ftSo
[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\\ \rm\Rrightarrow tan25=\dfrac{P}{50}[/tex]
[tex]\\ \rm\Rrightarrow P=50tan25[/tex]
[tex]\\ \rm\Rrightarrow P=23.31ft[/tex]
SOMEBODY SOLVE THE EQUATION
Answer:
(the answer is in fraction form)
x= 2/3 , -5/2
Answer:
[tex]x=-\frac{5}{2} ,x=\frac{2}{3}[/tex]
Hope This Helps! :) Please Give Brainliest!
Convert 1/5 to the neatest tenth
Answer:
First, we convert the fraction to a decimal number by dividing the numerator by the denominator:
1 / 5 = 0.20
There are two parts to the decimal number above:
Integer Part: 0
Fractional Part: 20
Now, we will make the Fractional Part just one digit (nearest tenth) by using our rounding rules.*
In this case, Rule I applies, so 1/5 (or 0.20) rounded to the nearest tenth in decimal format is:
0.2Answer:
1.1
Step-by-step explanation:
If the digit after tenth is greater then or equal to 5, add 1 to the tenth.
Solve the system of equations.
−4x+11y=15
x=2y
Please help I'll mark brainliest
Answer:
I think it should be 80-89.
Because the mode can't be between 70 and 70 that wouldn't make sense. Basically 70 and 70 will equal 0 in between so it wouldn't be the best choice.
HELP
Which speed is equivalent to 1/2 mile per hour?
Convert the unit of length. Round the answer to one decimal place if necessary. 190 cm ≈ _____ ft
190 cm ≈ _____ ft?
Answer:
15.8
Step-by-step explanation:
I divided 190 by twelve and got 15.833333. The question said to round to one decimal place. So, I rounded to 15.8.
PLEASE HELP PLEASE PLEASE HELP PLEASE
Answer:
Start are cooler when in the color Red.
Step-by-step explanation:
Answer:
the answer would be red
Step-by-step explanation:
Bame has a bag of $1 and $2 coins
The total mase of the coins is 71.4 grams
Bame knows that
• the mass ofa$1 coin is 9 grams and
* the mass of a $2 coin is 6.6 grams
What is the value of the coins in a bag
Answer:
$13
Step-by-step explanation:
9x + 6.6y = 71.4
6.6(4) = 26.4
71.4 - 26.4 = 45
9 / 45 = 5
$2 = 4
$1 = 5
$2 * 4 = $8
$1 * 5 = $5
$8 + $5 = $13
Can anyone help explaining step by step?
The height of a soccer ball in the air can be modeled by the equation h = -16t^2 +48f, where h is in feet of a ball that Cody kicks down the field.
How long is the ball in the air? (find the zeros).
What is the ball's max height? (find the vertex)
When will the ball reach its maximum height?
Answer:
3 seconds(0, 0), (3, 0)36 ft, (1.5, 36)Step-by-step explanation:
As the problem statement suggests, the question of time in the air can be answered by finding the zeros of the function. Similarly, the question of the ball's maximum height can be answered by finding the vertex. These findings are related by the fact that the vertex is on the line of symmetry, which passes through the midpoint between the zeros.
__
(a)The function can be factored as ...
h = -16t(t -3)
At any zero, one of the factors must be zero. (This is the "zero product rule.") The factors are zero for t=0 and for t=3.
The zeros are (0, 0) and (3, 0).
This tells you the height of the ball is zero initially (at t=0), and 3 seconds later (at t=3).
The ball is in the air for 3 seconds.
__
(b)The midpoint between the zeros is their average: (0 +3)/2 = 1.5. At that value of t, the ball will be at its maximum height.
The ball will reach its maximum height at t=1.5 seconds.
Using the above factored form to find the height, we get ...
h = -16(1.5)(1.5 -3) = 16(2.25) = 36 . . . feet
The ball's maximum height is 36 feet.
_____
Additional comment
The x-coordinate of the vertex of quadratic ax²+bx+c is found at the value ...
x = -b/(2a)
Here, that would be ...
t = -48/(2(-16)) = 3/2
__
A graphing calculator can answer all of these questions quite rapidly.
is 2/100 equivalent to 2/10
Answer:
no, because 2/10 is actually bigger than 2/100
Step-by-step explanation:
because if you think about a fraction as a part of a circle, and each of the denominators standed for one piece of the circle, then there would be way more pieces on the 100 circle and they would be smaller, thus, making 2 of them worth less than 2 of the circle with only 10 pieces.
convert the following units to the units in bracket 12m (to cm)
We are converting 12 meters into centimeters.
A meter is a larger unit of messurment then centimeter. In fact, a meter is made up of many centimeters
How many centimeters are in a meter?
We can look at the word composition of the word centimeter to figure this out:
centimeter
centi = 100
There are 100 centimeters in 1 meter.
In this problem, we have 12 meters. That is twelve 100 cm or:
12 × 100 = 1,200
12 meters is the same as 1,200 centimeters
1 meter = 100 centimeter
So ,
12 m = 12 × 100 = 1,200 centimeter
A small squad of soldiers came to a
river they had to cross. The bridge
was damaged and the water was too
cold. Everyone thought there was no
hope for them to get to their dinner
on time. Just then, Officer Bill saw
two boys on a boat, but the boat was so small that the most it
could hold was only one soldier or only two boys.
All the soldiers got across the river using this boat. How did
they do it?
Answer:
maybe they could be on opposite sides?
Step-by-step explanation:
Find the area of the triangle.
16 ft
62 ft
Not drawn to scale.
A. 496 ft2
B. 248 ft?
C. 78 ft2
D. 37 ft2
Answer:
A. 496 ft2
Step-by-step explanation:
area of a triangle is
1/2 times base times height
1/2 times 16 times 62 =
496
Which of the following statements are correct?
Corresponding angles: ∠1 and ∠5; ∠3 and ∠7; ∠2 and ∠6; and ∠4 and ∠8.
Alternate interior angles: ∠3 and ∠6; ∠4 and ∠5
Alternate exterior angles: ∠1 and ∠8; ∠2 and ∠7
Same-side interior/consecutive angles: ∠3 and ∠5; ∠4 and ∠6
What are the Angles Formed by a Transversal and Parallel Lines?The congruent angles that are formed are:
Alternate interior anglesCorresponding anglesAlternate exterior anglesThe supplementary angles formed are: Same-side interior/consecutive angles.
Therefore, the following are true of the angles shown in the diagram given:
Corresponding angles: ∠1 and ∠5; ∠3 and ∠7; ∠2 and ∠6; and ∠4 and ∠8.Alternate interior angles: ∠3 and ∠6; ∠4 and ∠5Alternate exterior angles: ∠1 and ∠8; ∠2 and ∠7Same-side interior/consecutive angles: ∠3 and ∠5; ∠4 and ∠6Learn more about angles on:
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What is the value of (-4)-3?
1
64
О.
—
1
12
64
ОО
1
12
Answer:
Answer is -1/64
Step-by-step explanation:
Mark me the brilliant
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An auditorium has 9025 seats arranged in rows and columns. Each rows contains as many as the total numbers of rows . Find the numbers of rows in the auditorium .
Answer:
95
Step-by-step explanation:
9025 is a perfect square of 95. hence the number of rows is 95.
[tex]☞︎︎︎ \: x \: \times \: x = 9025[/tex]
[tex]☞︎︎︎ \: {x}^{2} = (5 \times 5) \: \times \: (19 \times 19)[/tex]
[tex]☞︎︎︎ \: {x}^{2} = {95}^{2} [/tex]
[tex]☞︎︎︎ \: x \: = \sqrt{ {95}^{2} } [/tex]
[tex]☞︎︎︎ \: x = 95[/tex]
SourCandyy シ︎Jordan has a part-time job selling candy. He works 3 hours each day. The function p(x) = 12 + 2x models his daily earnings, where x is the number of candies he sells during the day. Jordan sells 10 to 23 candies per day. Which interval contains all of the values in the range of the function?
The interval contains all of the values in the range of the function 32 to 58 dollars.
How to find the ranges of the function?The function is as follows:
p(x) = 12 + 2x
where
x = number of candies sold during the day.He sells 10 to 23 candies per day.
Therefore,
x = 10 and x = 23
Hence,
p(10) = 12 + 2(10) = 12 + 20 = 32
p(23) = 12 + 2(23) = 12 + 46 = 58
Therefore, the interval contains all of the values in the range of the function 32 to 58 dollars.
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The blue dot is at what value on the number line?
Answer:
i believe the blue dot is -28
Simplify: 4y + 3 +9y+ 6
O 13y + 9
O 22y
O 7y + 15
O 22
Answer:
13y+9
Step-by-step explanation:
You can add 4y and 9y because they are like terms , and the same for 3+6.
4y+9y and 3+6
13y + 9
hope this helps
It is estimated that 60% of U.S. households subscribe to cable TV. You would like to verify this statement for your class in mass communications. If you want your estimate to be within 5 percentage points, with a 95% level of confidence, how many households should you sample
Using the z-distribution, as we are working with a proportion, it is found that you should sample 577 households.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
In this problem, the estimate is of [tex]\pi = 0.6[/tex], and we want a margin of error of M = 0.05, hence we solve for n to find the sample size.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.05 = 1.96\sqrt{\frac{0.6(0.4)}{n}}[/tex]
[tex]0.05\sqrt{n} = 1.96\sqrt{0.6(0.4)}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.6(0.4)}}{0.05}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.6(0.4)}}{0.05}\right)^2[/tex]
[tex]n = 576.24[/tex]
Rounding up, you should sample 577 households.
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Someone help me out with this!!
Answer:
Missing Angle = 75 degrees
This answer may not be correct, if it is or is not, please tell me in the comments!
Step-by-step explanation:
The Missing Angle:
All of the angles add up to 180 since it is a triangle, so the equation is:
90 (the box aka right angle) + 15 + (the missing angle) = 180
Then, add 90 + 15 = 105. After that, do:
180 - 105 = 75 degrees (don't forget the label!)
I am so sorry, but unfortunately, I do not know the answer for finding the lengths of the sides x and y.
Answer:
75°, x = 49.69, y = 12.85Step-by-step explanation:
The missing angle is complementary with given since the triangle is right.
90° - 15° = 75°Use trigonometry to find x
cos 15° = 48/xx = 48/cos 15°x = 49.69 (rounded)Use Pythagorean to find y
[tex]y=\sqrt{49.69^2-48^2} =12.85[/tex] rounded20 easy points fast ……………………….
I need help! How do you put this into factored form?
y= 6x^2 - 11x - 7
[tex]6x^2-11x -7\\\\=6x^2+3x -14x -7\\\\=3x(2x+1) -7(2x+1)\\\\=(2x+1)(3x-7)[/tex]
valerie drives 500 meteres up a hill that makes an angle of 15 degrees with the horizontal. To the nearest tenth of a meter, what horizontal distance has she covered?
Answer:
Answer:
The horizontal distance she has covered is:
x = 483.0m
Step-by-step explanation:
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[4+3]
2071 Q. No. 14 (0)
State Bolazano Weirstrass theorem. If A is any set in R then prove A = AUA'. [1+3]
2071 Q. No. 14 (ii) a
Define isolated point.
And find the isolated point for the set A = (0, 1){2}.
2072 Q. No. 2
The notation A = {0,1, 2} is an illustration of sets
The set A do not have isolated points
What is an isolated point?
An isolated point is an element of a set that belongs to a set A and any neighboring sets N, such that the set N do not contain other elements of set A
The isolated point for set A?The set A is given as:
A = {0,1, 2}
The elements of the set A do not exists in other sets
So, we can say that set A do not have isolated points
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Find the volume of the oblique rectangular prism below. Round your answer to the
nearest tenth if
necessary.
1100
1115
1120
1135
Answer:
1100 units³
First calculate the Base Area:
parallelogram area:
Base * Height
11 * 10
110 units²
Volume:
Base Area * Length
110 * 10
1100 units³
Answer:
volume = 1100 cm³
Step-by-step explanation:
[tex]\textsf{Volume of an oblique rectangular prism}=l \cdot w \cdot h[/tex]
where:
[tex]l[/tex] is the base length[tex]w[/tex] is the base width[tex]h[/tex] is the height perpendicular to the baseGiven:
[tex]l[/tex] = 11 cm[tex]w[/tex] = 10 cm[tex]h[/tex] = 10 cmSubstituting the given values into the formula:
[tex]\implies \textsf{Volume}=11 \cdot 10 \cdot 10 = 1100\: \sf cm^3[/tex]