Answer:
x = 9
y = 116
Step-by-step explanation:
116 and y are vertically opposite angles.
Vertically opposite angles are equal.
So,
y = 116
116 and ( 13x - 53 ) are linear pair angles.
Sum of linear pair angles is 180,
13x - 53 + 116 = 180
13x + 63 = 180
Subtract 63 on both sides,
13x = 180 - 63
13x = 117
Divide 13 on both the sides,
x = 117 / 13
x = 9
find the area of each shaded sector. round to the nearest tenth.
Answer:
a.
Step-by-step explanation:
the area of a whole circle (360°) is
pi×r²
in our case
pi×10² = 100pi
but here we don't need the full circle. we only need a fraction of the whole circle : 128/360
so, the area of the sector is
100pi × 128/360 = 100pi × 16/45 = 20pi × 16/9 =
= 111.7010721... cm² ≈ 111.7 cm²
Sara and her dad visit yo yo yogurt again this time the scale says that Sara has 14 ounces of vanilla yogurt in her cup
Total pounds of yogurt they buy (as a mixed number) : [tex]1\dfrac{5}{16}[/tex]
What will the Yogurt weigh?Mass is one of the principal quantities, which is related to the matter in the object
The main mass unit consists of 7 units of other than other units of mass such as quintals, tons, pounds, ounces:
Kilogram, kg
Hectogram, hg
Decagram, dag
gram, g
Decigram, dg
centigram, cg
milligrams, mg
Each unit descends then multiplied by 10, and if one unit increases then divided by 10
Fraction numbers are known as numerator and denominator
On a number line, fractions are expressed in points that lie between two integers
The general form of fractions is
[tex]\dfrac{a}{b}[/tex]
Mixed fractions consist of integers and ordinary fractions
A mixed number is a combination of a whole number and a fraction
Sara has 14 ounces of vanilla yogurt
Her father's yogurt weighs half of much, so her fathers have yogurt :
= 0.5 x 14 ounces
= 7 ounces
Total ounces of yogurt they buy
= 14 + 7 = 21 ounces
for 1 ounces (oz) the conversion = 0.0625 pounds(lbs)
So for 21 ounces there will be
= 21 x 0.0625
= 1.3125 pounds
if we express as a mixed number , it will be :
[tex]=\dfrac{13125}{10000}[/tex]
[tex]=1\dfrac{5}{16}[/tex]
Hence Total pounds of yogurt they buy (as a mixed number) : [tex]1\dfrac{5}{16}[/tex]
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Help please!!! It’s timed
Describe how you would find the volume of each hemisphere below. What is the volume of each hemisphere?
It's not hemisphere,It's a complete sphere .
Radius=26.12/2=13.06cmVolume
4/3πr³4/3π(13.06)³9330.8cm³Volume of each hemisphere.
9330.8/24665.4cm³find the area of parallelogram whose height is 6 cm and base 5 cm
A parallelogram is a type of quadrilateral(four sides polygon) that has both the pair of opposite sides parallel and equal.
Area of a parallelogram = height× base
from the question,
height= 6cm
base= 5cm
area= 6×5= 30cm^2
7,14,15,9,11,14,11,10,17 what is the mode of the list of numbers?
Answer:
the answer is 11 because there are so many no. repeating so in this case we count total no of terms and say it n if terms are odd then mode
Step-by-step explanation:
mode = n+1÷2
Solve the equation X = 64 for x.
ОА. -32, 32
O B. -8, 8
OC. 8
OD 32
please help
Answer:
B
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
A right triangle has legs of 21 inches and 28 inches whose sides are changing. The
short leg is decreasing by 7 in/sec and the long leg is shrinking at 7 in/sec. What is
the rate of change of the hypotenuse?
Using the Pythagorean Theorem, it is found that the rate of change of the hypotenuse is of -9.8 in/sec.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
Applying implicit differentiation, the rate of change of the hypotenuse is given by:
[tex]2h\frac{dh}{dt} = 2l_1\frac{dl_1}{dt} + 2l_2\frac{dl_2}{dt}[/tex]
[tex]h\frac{dh}{dt} = l_1\frac{dl_1}{dt} + l_2\frac{dl_2}{dt}[/tex]
In this problem, we have that the parameters are given as follows:
[tex]l_1 = 21, \frac{dl_1}{dt} = -7, l_2 = 28, \frac{dl_2}{dt} = -7[/tex]
[tex]h = \sqrt{l_1^2 + l_2^2} = \sqrt{21^2 + 28^2} = 35[/tex]
Hence, the rate of change of the hypotenuse, in inches per second, is given by:
[tex]h\frac{dh}{dt} = l_1\frac{dl_1}{dt} + l_2\frac{dl_2}{dt}[/tex]
[tex]35\frac{dh}{dt} = 21(-7) + 28(-7)[/tex]
[tex]\frac{dh}{dt} = \frac{21(-7) + 28(-7)}{35}[/tex]
[tex]\frac{dh}{dt} = -9.8[/tex]
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( i will give brainlist ) What is the equation of the following graph?
Answer:
y= ⅓x +2
Step-by-step explanation:
Since the graph is a linear graph, let's use the slope-intercept form to find its equation.
Slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept.
The y-intercept is the point at which the graph cuts through the y-axis. In this case, the y-intercept is 2.
Thus, y= mx +2.
Let's find the slope of the graph.
First, identify 2 pairs of coordinates from the graph:
(0, 2) and (3, 3)
Next, substitute these coordinates into the slope formula below:
[tex]\boxed{ \text{slope} = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
slope
[tex] = \frac{3 - 2}{3 - 0} [/tex]
[tex] = \frac{1}{3} [/tex]
Thus, the equation of the graph is y= ⅓x +2.
Estimate 21.2 - 4.8 to the nearest whole number. please hurry
Answer:
16
Step-by-step explanation:
A parking garage charges $2.00 for the first hour and $0.80 for each additional hour. Which of the following could be used to find C, the cost in dollars of parking h hours?
Answer:
C = 2(h - 1) + 0.80
Determine the following for each sinsusoidal functions
Answer
whats the question
Step-by-step explanation:
A truck's engine needs 1 gallons of oil for an oil change. How many quarts of oil are needed? (Hint: 1 quart
gallon)
Answer:
4 quarts
Step-by-step explanation:
1 gallon is equal to 4 quarts
80 volunteers take a meningitis test to help doctors see how accurate this test is at identifying whether someone has meningitis or not. a positive result means the test has identified you as having meningitis. of the volunteers, only 17 people have meningitis. the results show 5 people who have meningitis gets a negative result and 7 people who don't have meningitis get a positive result. what was the accuracy of the test?
Using it's formula, it is found that the accuracy of the test was of 0.85 = 85%.
What is the accuracy of a test?The accuracy of a test is given by the number of correct results divided by the number of results.
In this problem, there are 80 tests, and of those, 5 + 7 = 12 had incorrect results, hence 68 had correct results.
Hence the accuracy of the test is given by:
a = 68/80 = 0.85 = 85%.
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Multiply: (x 4)(x2 2x 3) simplify and write your answer in standard form.
Answer:
The answer is: 24x^4
A pair of boots was originally $180, but today is being sold for $135. What is the percent of decrease in the price?
Answer:
I guess 25%..
Step-by-step explanation:
Solution,
Original price = $180Reel price = $ 135Here,
Amount of decrease= $180 - $135
= $45
Now,
Percent of decreasement = $45/$180 × 100%
= 25%
Please solve with work,,, I need this quick plsssss
The volume of the solid that results, when the region enclosed by the curves, is revolved about the x-axis is 3.35 cubic units.
What is a solid revolution?When a figure is revolved around some fixed axis, the whole three-dimensional solid formed from the area that it swaps out is called a solid of revolution.
The function is given below.
y = - x² + 1
y = 0
Then the volume of the solid will be
[tex]\rm Volume = 2\int \pi y^2 dx\\\\\\Volume = 2 \int _0^1 \pi (-x^2 + 1)^2 dx\\\\\\Volume = 2 \pi \int _0^1 (x^4 - 2x^2 + 1)dx\\\\\\Volume = 2 \pi \left [ \dfrac{x^5}{5} - \dfrac{2x^3}{3} + x \right]^1_0\\\\\\[/tex]
On solving further, we have
Volume = 2π [(1/5 - 2/3 + 1) - 0]
Volume = 2π [8/15]
Volume = 3.35
Then the volume of the solid will be 3.35 cubic units.
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A cylindrical tank has diameter 3.2 m and length
12.7 m.
What is the surface area of the tank, to 1 decimal
place?
Answer:
143.8 m²
Explanation:
Surface Area of cylinder = 2πr(r + h)
Here given,
diameter: 3.2 mradius: d/2 = 3.2/2 = 1.6 mlength: 12.7mSurface Area of cylinder:
⇒ 2π(1.6)(1.6+ 12.7)
⇒ 174.2955 m²
⇒ 143.8 m² (rounded to nearest 1 decimal place)
Which of the following is a compound event?
Getting sum 12 when rolling two dice
Getting sum 2 when rolling two dice
Getting sum 6 when rolling two dice
None of the choices
Answer:
Getting sum 6 when rolling two dice
What is 5 3/5% of 750?
Thanks in advance.
[tex]5 \frac{3}{5} \% \: of \: 750[/tex]
solution:[tex]5 \frac{3}{5} = 5.6[/tex]
[tex] \frac{5.6\%}{100} \times \frac{x}{750} [/tex]
[tex] = 42%[/tex]
which of the following rational functions is graphed below?
The graph represents the function (D) because the graph of the function is not defined at x = 1 and x = 2 option (D) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a graph of a function:
If we take the function:
[tex]\rm f(x) = \dfrac{1}{\left(x-1\right)\left(x-2\right)}[/tex]
At x = 1 and x = 2 the function will be not defined, so this region would be hollow and as we can see in the graph of a function.
The function is not defined at x = 1 and x = 2.
Thus, the graph represents the function (D) because the graph of the function is not defined at x = 1 and x = 2.
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Denver is growing at a rate of 1.8% per year and has a population of 700 thousand people. Write a recursive formula to represent the Denver scenario.
7000_1.8%=61.2%this is the answer
A doctor wants to determine if a new medication for cholesterol is more effective than the previous medication. The doctor asks her patients if they would like to take part in a study for a new medication, and 30 patients currently taking medication for cholesterol volunteer to participate.
Which of the following would be an appropriate procedure for this experiment?
A)The doctor needs to randomly assign 15 patients to the new medication and 15 to the original medication to even out the variability between the patients.
B)The doctor needs to assign the first 15 patients to the new medication and 15 to the original medication to even out the variability between patients.
C)The doctor needs to let the 30 patients choose which medication they are going to take through use of a survey to determine whether they want to participate in the experiment.
D) The doctor needs to randomly assign the 30 patients to the new medication to even out the variability between the patients and to determine if their cholesterol level is lowered.
Answer:
B)The doctor needs to assign the first 15 patients to the new medication and 15 to the original medication to even out the variability between patients.
OR
D) The doctor needs to randomly assign the 30 patients to the new medication to even out the variability between the patients and to determine if their cholesterol level is lowered.
Mary and her brother are saving their money to buy a laptop that costs $799. If Mary has $356.00 and her brother has $295.00, do they have enough money together to buy the laptop?
what are the solutions to 0=x^2-x+1?
Answer: No solutions
Step-by-step explanation:
There are no solutions to 0 = x² - x + 1.
[Method One]
We can solve this by rewriting the equation, but it is quicker to graph it when there are no solutions. See attached.
[Method Two]
I said we can solve this by solving an equation, here it is. We will use the quadratic formula since the equation given is already in the proper form.
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]\displaystyle x=\frac{1\pm\sqrt{(-1)^2-4(1)(1)} }{2(1)}[/tex]
[tex]\displaystyle x=\frac{1\pm\sqrt{-3} }{2}[/tex]
-> Negative numbers don't have real square roots, so there is no solution
find the volume of the compound shape.
[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]
[tex]v = \frac{4}{3} \times \pi \times {2}^{3} [/tex]
[tex]v = 33.51 \: {m}^{3} [/tex]
Volume of the cylinder:[tex]v = \pi {r}^{2} h[/tex]
[tex]v = \pi \times {2}^{2} \times 6[/tex]
[tex]v = 75.40 \: {m}^{3} [/tex]
Total volume:[tex]v = 75.40 + 33.51[/tex]
[tex]v = 108.91 \: {m}^{3} [/tex]
Hence, the volume of the given compound shape is 108.91 cubic meters.
sphere:
= 33.51 m^3
cylinder:
= 75.40 m^3
all together:
= 108.91 m^3
△ABC ≅ △DEF.
Find the measures of the given angles or the lengths of the given angles.
1). m∠B=3y, m∠E=6y-12
2). AC=7a+5, DF=5a+9
The measures for the given angles B and E are 12° .
Similarity TriangleTriangles are similar when the correspondent angles and the ratio of correspondent sides are equal. Also, it must present the same shape, but it is not mandatory the same dimension.
Like the triangles are similar, ∠B=∠E. Then,
∠B=∠E
3y=6y-12
3y-6y=-12
-3y=-12
y=4
You can write too:
AC=DF
7a+5=5a+9
7a-5a=9-5
2a=4
a=2
Therefore,
∠B=3y= 3* 4 =12
m∠E=6y-12=6*4-12=21-12=12
AC=7a+5= 7*2+5=14+5=19
DF=5a+9=5*2+9=10+9=19
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21.
1 point
A movie theater is showing three different movies. The dot plots represent
the ages of the people who were at the Saturday afternoon showing of each
of these movies. One of these movies was an animated movie rated G for
general audiences. Do you think it was Movie A, B. or C?*
movie A
30 35
45 50
55
movie B
50
10
movie C
Mark only one oval.
A
000
15
age
35
.....
45
50
Answer:
One of these movies was an animated movie rated G for general audiences. Do you think it was movie A, B, or C?
movie B
Which movie has a dot plot with ages that that center at about 30 years?
movie C
What is a typical age for the people who were at Movie A?
40
Step-by-step explanation:
I had the same question but I'm pretty sure that is the correct answer for it, sorry if I am wrong.
A certain radionuclide is used to diagnose lymphoma. an atom of this radionuclide contains 31 protons and 36 neutrons. which statement is correct about the radionuclide? the atomic number is 31, the mass number is 67, and its symbol is superscript 67 subscript 31 baseline upper g a. the atomic number is 31, the mass number is 67, and its symbol is superscript 31 subscript 67 baseline upper g a. the atomic number is 67, the mass number is 31, and its symbol is superscript 67 subscript 31 baseline upper g a. the atomic number is 67, the mass number is 31, and its symbol is superscript 31 subscript 67 baseline upper g a.
The statement is correct about the radionuclide the atomic number is 31, the mass number is 67, and its symbol is superscript 67 subscript 31 baseline upper g a.
To answert the question, we need to know what an atom is.
What is an atom?An atom is the smallest indivisible part of a substance. It is represented by letters.
It has an atomic number which is the number of protons or electrons present in an atom and is written as a subscript in from of the letter symbol.It has a mass number which is the number of protons plus neutrons in an atom and is written as a subscript in from of the letter symbol.So, since the atom of this radionuclide contains 31 protons and 36 neutrons.
So, its atomic number is 31. Its mass number is number of protons + number of neutrons = 31 + 36 = 67. Its symbol is superscript 67 and subscript 31.
So, the statement is correct about the radionuclide the atomic number is 31, the mass number is 67, and its symbol is superscript 67 subscript 31 baseline upper g a.
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Please answer the question in the picture below
Thank you!
Answer:
Question 23: 39
Question 24: 10
Question 25: Airline B
Question 26: 20 to 50
Step-by-step explanation:
help me with this PLACE
Draw a quadrilateral that has two 60 degree angles and two 120 degree angles.
Answer:
Step-by-step explanation:
Draw a straight line.
Then draw 2 lines of equal length from the 2 ends of the line at angles of 120 degrees going up and apart.
Then draw the fourth line joining the ends of these 2 lines.
The 2 angles formed will equal 60 degrees.
The quadrilateral formed is a trapezoid.