A picture 10 feet long is to be centered on a wall that is 14 feet long. How much space is there from the edge of the wall to the picture?
Answer:
4 feet is left in the wall
Step-by-step explanation:
If something is 1 foot and it’s supposed to be 2 feet, how much space is left? 1 foot, therefore you have to subtract what you want from what you have.
Answer:
2 ft.
Step-by-step explanation:
14 - 10 = 4.
4/2 = 2
You divide beacuse theres space on botrhsides of the painting.
A 2003 study of dreaming found that out of a random sample of 111 people, 93 reported dreaming in color. However, the rate of reported dreaming in color that was established in the 1940s as 0.24. Check to see whether the conditions for using a one-proportion z-test are met assuming the researcher wanted to test to see if the proportion dreaming in color had changed since the 1940s. Are the conditions met?
A. No, the observations are not independent.
B. Yes, all the conditions are met.
C. No, the sample size is not large enough to produce at least 10 successes and 10 failures.
D. No, the population is not more than 10 times bigger than the sample size.
Answer:
B. Yes, all the conditions are met.
Step-by-step explanation:
According to the question
There is a random sample of 111 people also these people are independent
The population size is also not given so we assume that it should be on infinity i.e. it should be more than 10 times higher as compared with the sample size
And, the number of success in the sample is 93
So, the number of failure would be
= 111 - 93
= 18
So, the 93 and 18 would be higher than 10
Therefore, the option b is correct
Find the lateral area of this cone.
Leave your answer in terms of pi
15cm
8cm
Answer:
lateral surface area of cone =
[tex]\pi rl[/tex]
where, l = slant height, and r = radius
then
[tex]l.a = \pi \times 8 \times 17[/tex]
[tex]l.a = 136\pi[/tex]
The lateral area of this cone will be 136 π. Lateral area is found as the product of pi ,radius and slant height.
What is a cone?It is defined as the three-dimensional shape in which the base is a circular shape and if we go from circular base to top the diameter of the circle reduces and at the vertex, it becomes almost zero.
lateral area of this cone is found as;
L=πrl
L=π×8×17
L=136π
Hence,the lateral area of this cone will be 136 π.
To learn more about the cone refer to the link;
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Anyone who know what the answer please please?!
Answer:
x = 26.4°
Step-by-step explanation:
Defence angle = x
Side length Opposite to reference angle = 4
Hypotenuse length = 9
Apply trigonometric ratio, SOH. Thus:
Sin x = Opp/Hyp
Sin x = 4/9
[tex] x = sin^{-1}(\frac{4}{9} [/tex]
x = 26.3878° = 26.4° (nearest tenth)
Classify the triangle
Answer:
This triangle is an isosceles acute
Step-by-step explanation:
First lets define each classification
scalene - no equal sides
isosceles - two equal sides
equilateral - all equal sides
acute - all angles have a measure of less than 90 degrees
right - has a right angle (90 degree angle)
obtuse - has an angle that has a measure of more than 90 degrees
Now lets classify
The triangle has two equal sides (indicated by the little line on the top and bottom side) therefore it is an isosceles triangle
We know its an acute triangle because the one angle given is not a right angle nor a obtuse angle meaning that the other two angles are going to have a measure of less than 90 degrees
So we can conclude that this is an isosceles acute triangle
please help me(i'm not smart so i don't get this at all T-T)
Answer:
Step-by-step explanation:
6x4=24+1=25 75/25=3 .
oh and btw go back to high school
12 pieces ! ( > < )
for future reference, this will be a lot easier to do than using points !! so simple :))
use your calculator to divide the large number by the small number !! that should give your answer
and remember if a fraction is out of four think of it like quarters or 25 cents :3
so 75 divided by 6.25 is 12 !!
good job !!! ♡♡
Which equation shows x^2+6x-2 = 0 rewritten by completing the square?
A. (x+3)^2=18
B. (x+3)^2-11
C. (x+3)^2-2
D. (X+3)^2-9
Answer:
Option B.
Step-by-step explanation:
We have the equation:
x^2 + 6*x - 2 = 0
Remember that:
(a*x + b)^2 = (a*x)^2 + 2*a*b*x + b^2
Because the term with x^2 has a coefficient equal to 1, then a = 1.
(x + b)^2 = x^2 + 2*b*x + b^2
The ter with x is: 6*x
then:
2*b*x = 6*X
2*b = 6
b = 6/2 = 3
we have:
(x + 3)^2 = x^2 + 6*x + 9
Now, our equation is:
x^2 + 6*x - 2 = 0
Now we can add the term (11 - 11) = 0
x^2 + 6*x - 2 + (11 - 11) = 0
x^2 + 6*x - 2 + 11 - 11 = 0
x^2 + 6*x + (11 - 2) - 11 = 0
x^2 + 6*x + 9 - 11 = 0
And we know that:
x^2 + 6*x + 9 = (x + 3)^2
Then we can rewrite our equation as:
(x + 3)^2 - 11 = 0
Then the correct option is B.
The equation that matches our result is option B. (x+3)² - 11. Therefore, rewriting x² + 6x - 2 = 0 by completing the square gives us (x+3)² - 11 = 0.
To rewrite the equation x² + 6x - 2 = 0 by completing the square, we need to follow these steps:
Move the constant term (-2) to the other side of the equation:
x² + 6x = 2
Take half of the coefficient of x (which is 6) and square it. Add the result to both sides of the equation:
x² + 6x + (6/2)² = 2 + (6/2)²
x² + 6x + 9 = 2 + 9
x² + 6x + 9 = 11
Now, let's look at the answer choices:
A. (x+3)² = 18
B. (x+3)² - 11
C. (x+3)² - 2
D. (x+3)² - 9
Among the answer choices, the equation that matches our result is option B. (x+3)² - 11. Therefore, rewriting x² + 6x - 2 = 0 by completing the square gives us (x+3)² - 11 = 0.
To know more about equation:
https://brainly.com/question/29657983
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The price of an item has risen to $184 today. Yesterday it was $80. Find the percentage increase.
Tell what whole number you can substitute for x in the following list so the numbers are ordered from least to greatest. 1/x, x/5,70%
Answer:
hmmm................chupapu
5. The coordinates of the points A and B are (0, 6)
and (8, 0) respectively.
() Find the equation of the line passing through
A and B
Given that the line y = x+1 cuts the line AB at
the point M, find
(ii) the coordinates of M,
(in) the equation of the line which passes
through Mand is parallel to the -axis,
(iv) the equation of the line which passes through
Mand is parallel to the y-axis.
An airplane is flying 4 miles directly over your house. The distance between your house and the airport is 12 miles. How far apart are the airplane and the airport?
Answer:
c=7.180 miles. 2. Jack is on one side of a 200-foot-wide canyon and Jill is on the other. Jack and Jill can both ... a=2.947 miles. 5. Airplane A is flying directly toward the airport which is 20 miles away. The pilot notices ...
What is the tan M, sin M and Cos M?
I hope this helps you
tgM=39/80
sinM=39/89
cosM=80/89
Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a standard deviation of 1800 hours and a mean life span of 14,000 hours. If a monitor is selected at random, find the probability that the life span of the monitor will be more than 16,141 hours. Round your answer to four decimal places.
Answer:
6
Step-by-step explanation:
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In the diagram below, assume that all points are given in rectangular coordinates. Determine the polar coordinates for each point using values of rr such that r≥0 and values of θ such that 0≤θ<2π. Visually check your answers to ensure they make sense.
(x,y)=(2,5) corresponds to (r,θ)=
(x,y)=(−3,3) corresponds to (r,θ)=
(x,y)=(−5,−3.5) corresponds to (r,θ)=
(x,y)=(0,−5.4)corresponds to (r,θ)=
Step-by-step explanation:
We have cartisean points. We are trying to find polar points.
We can find r by applying the pythagorean theorem to the x value and y values.
[tex]r {}^{2} = {x}^{2} + {y}^{2} [/tex]
And to find theta, notice how a right triangle is created if we draw the base(the x value) and the height(y value). We also just found our r( hypotenuse) so ignore that. We know the opposite side and the adjacent side originally. so we can use the tangent function.
[tex] \tan(x) = \frac{y}{x} [/tex]
Remeber since we are trying to find the angle measure, use inverse tan function
[tex] \tan {}^{ - 1} ( \frac{y}{x} ) = [/tex]
Answers For 2,5
[tex] {2}^{2} + {5}^{2} = \sqrt{29} = 5.4[/tex]
So r=sqr root of 29
[tex] \tan {}^{ - 1} ( \frac{5}{2} ) = 68[/tex]
So the answer is (sqr root of 29,68).
For -3,3
[tex] { -3 }^{2} + {3}^{2} = \sqrt{18} = 3 \sqrt{2} [/tex]
[tex] \tan {}^{ - 1} ( \frac{3}{ - 3} ) = - 45[/tex]
Use the identity
[tex] \tan(x) = \tan(x + \pi) [/tex]
So that means
[tex] \tan(x) = 135[/tex]
So our points are
(3 times sqr root of 2, 135)
For 5,-3.5
[tex] {5}^{2} + {3.5}^{2} = \sqrt{37.25} [/tex]
[tex] \tan {}^{ - 1} ( \frac{ - 3.5}{ - 5} ) = 35[/tex]
So our points are (sqr root of 37.25, 35)
For (0,-5.4)
[tex] {0}^{2} + { - 5.4}^{2} = \sqrt{} 29.16 = 5.4[/tex]
So r=5.4
[tex] \tan {}^{ - 1} (0) = undefined[/tex]
So our points are (5.4, undefined)
What is the value of logg 8?
Answer:
The value of log 8 is 0.9030
Step-by-step explanation:
To find:
Value of log 8
Solution:
Let we take,
x=log8
x=log (2)^3
x=3log2
x=3*0.3010
x=0.9030
Hence, the value of log 8 is 0.90.
Which of the fractions below is closest to zero?
a. 1/2
b. 1/6
c. 1/9
d. 1/12
Answer:
d.) 1/12
Step-by-step explanation:
As it is equal to 0.083 and it is nearest to zero
Answer:
d. 1/12
Step-by-step explanation:
Since all of the fractions are positive and you want the one closest to 0, you need to find the smallest fraction. With fractions, especially when all of the numerators are 1, the larger the denominator becomes, the smaller the fraction. 12 is the largest denominator; therefore, 1/12 must be the smallest fraction. Which makes 1/12 the closest to 0.
Mai wants to buy a pair of jeans at the mall. The jeans cost $35.00. She has a coupon for that store. She pays $28.00 for the jeans. What was the percent of her discount?
9514 1404 393
Answer:
20%
Step-by-step explanation:
The discount was $35 -28 = $7. As a percentage of the original price, that is ...
$7/$35 × 100% = 20%
Mai's coupon was for a 20% discount.
Which expressions represent 1 less than the product of 3 and 4? Check all that are true. 2) 0 (3 X 4) - 1 O 3 X 4 - 1 3 x (4 - 1) -) 0 1 - (3 X 4) 0 1 - 3 X 4
Answer:
(3 x 4) - 1 and 3 x 4 - 1
Step-by-step explanation:
Hope this helps!
Ryan exponential function of the form f(t)= a×b^t to represent the following situation. assume t is in years. an account has an initial investment of $91,000, increasing by 3.76% per year. F(T)=_________
Answer
[tex]f(t) = 91000 *1.0376^t[/tex]
Explanation
Given
[tex]a = 91000[/tex] -- initial
[tex]r = 3.76\%[/tex]
Required
The exponential equation
The exponential equation is:
[tex]y =ab^t[/tex]
Where
[tex]b=1 +r[/tex]
We used minus, because the rate increases..
So, we have:
[tex]b=1 +3.76\%[/tex]
[tex]b=1 +0.0376[/tex]
[tex]b=1.0376[/tex]
So:
[tex]y =ab^t[/tex]
[tex]y = 91000 *1.0376^t[/tex]
Hence:
[tex]f(t) = 91000 *1.0376^t[/tex]
For the following right triangle, find the side length x.
X
12
35
help pls
Answer:
the length of side X is 37
find the volume of the cone Diameter:10 m and Height:10m
Answer:
V = 260.2 m^3
Step-by-step explanation:
The area of the circular base is (pi)(r)^2, where r is the radius and half the diameter.
In this case the volume of the cone is V = (1/3)(pi)(5 m)^2*(10 m) = 260.2 m^3
Answer: 262
...........................
A tabletop in the shape of a trapezoid has an area of 7,701 square centimeters. Its longer base measures 119 centimeters, and the shorter base is 85 centimeters. What is the height?
Second attempt, please just give me the answer :p
Answer:
75.5 cm
Step-by-step explanation:
S = (a+b)*h/2
h = 2 * S / (a+b) = 2 * 7701 / 204 = 75.5 cm
Somebody please help
Answer:
5
Step-by-step explanation:
when finding a y intercept thevalue of x must be0,,,,,,when xis changed to 0the answer left is 5
What is the area of this shape
Answer:
252
Step-by-step explanation:
60+61+11
Pls Help will give brainliest
2) The angle measures and/or side lengths of a triangle are described. Determine whether the conditions given determine a unique triangle (one triangle), determine more than one triangle, or cannot make a triangle. Explain how you know this.
a) 3 in., 6 in., 10 in.
b) 40°, 65°, 75
Find the value of x in the triangle shown below 6 2
Brainliest for correct answer
Answer:
I got 678.58401 but i think it is C. 648n cubic units
Step-by-step explanation:
Trigonometric ratios can be used with any type of triangle.
O
True
O
False
Answer:
True
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
A group of friends were working on a student film that had a budget of $640. They spent all their budget on equipment and props. They used 15% of their budget on props. How much money did they spend on equipment?
User averysmartperson is helping with this question.
Answer:
[tex]x^2 + (y-60)^2 = 30,625[/tex]
Step-by-step explanation:
There are 42 carts, so there is 42 spaces in between them; if one of those spaces are 25pi/3 feet long, then 42 of them would be 25*42*pi/3 = 350pi (Perfect! no fractions)
350pi is the circumference. Now if we plug that into the circumference equation we get:
C = 2pi*r
350pi = 2pi*r
Divide both sides by pi to get rid of it
350 = 2r
Divide both sides by 2
r = 175 feet
So the new equation to graph it is:
x^2+y^2 = 175^2 = 30,625
We also know that the center of the Ferris wheel has to be at least 60 feet from the ground. Since the radius is more than that, a good bit of the Ferris wheel has to be underground OR we can make it higher (keyword: at least) if we want it to be above ground. I'll do the equation for underground since it more closely represents the question.
subtracting a number from y, shifts the graph up that much so:
[tex]x^2 + (y-60)^2 = 30,625[/tex]
I can't really draw it electronically but I can graph it: