Answers
Answer:
63⁰
Step-by-step explanation:
As in cyclic quadrilateral sum of opposite angles us equal to 180⁰
Related Questions
HELP ASAP
Linear equations
Answers
Determine if the two triangles are necessarily congruent. If so, fill in a flowchart proof to prove that they are. N A B M
Answers
Answer:
Step-by-step explanation:
Estimate the value of 96.8 x 9.74
Answers
Answer:
1000
Step-by-step explanation:
Let's round!
96.8 can be rounded to 100
9.74 can be rounded to 10
100*10=1000
Hope this helps!
The estimated value of the given product is 970. The given product is (96.8×9.74). This is obtained by using the rounding-off method.
What is estimation?Estimating means finding something close to the actual answer. In other words, it is approximating.Estimating decimal products involves many strategies.General strategy is rounding-off to the nearest value method.Estimating the given product:The given product is (96.8×9.74)
Here the first decimal number in the product is 96.8
Since the digit after the decimal point 8 is nearer to the value of 10, it is rounded to 97. I.e., 96.8≅97
And the second decimal number is 9.74
Since the digit after the decimal 7is nearer to the value of 10, it is rounded to 10. I.e., 9.74≅10
So, the product is 97×10=970
Thus, 96.8×9.74≅970 (approx.)
Therefore, the estimated value is 970.
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On a number line, which fraction is between 1/4 and 1/5?
Answers
Answer:
7/32
Step-by-step explanation:
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
To find a fraction between 1/4 and 1/5:
1. Make common denominators with both fractions. The larger the common denominator, the more you will find.
2. Choose any fraction between 1/4 and 1/5. That fraction will be in between 1/4 and 1/5.
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
[tex]\dfrac{1}{4}\ \text{and }\dfrac{1}{5} \ \rightarrow \ \dfrac{1 \times 40}{4 \times 40} \ \text{and} \ \dfrac{1 \times 32}{5 \times 32} \ \rightarrow \ \dfrac{40}{160} \ \text{and} \ \dfrac{32}{160}[/tex]
Now, you may choose any fraction between 40/160 and 32/160.
My chosen fraction is 35/160, which when simplified, gives 7/32.
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Answer:
[tex]\dfrac{9}{40}[/tex]
Step-by-step explanation:
Subtract 1/5 from 1/4, divide by 2, then add to 1/5:
[tex]\implies \dfrac{\frac14-\frac15}{2}+\dfrac15[/tex]
[tex]\implies \dfrac{\frac{5}{20}-\frac{4}{20}}{2}+\dfrac15[/tex]
[tex]\implies \dfrac{\frac{1}{20}}{2}+\dfrac15[/tex]
[tex]\implies \dfrac{1}{20} \times \dfrac12+\dfrac15[/tex]
[tex]\implies \dfrac{1}{40}+\dfrac15[/tex]
[tex]\implies \dfrac{1}{40}+\dfrac{8}{40}[/tex]
[tex]\implies \dfrac{9}{40}[/tex]
A trigonometry student stands 25 meters from a building and measures the angle of elevation to the top of the building as 30â°. how accurate does her angle measurement have to be if she wants her propagated percentage error in estimating the height of the building to be no more than 5%?
Answers
Using the slope concept, it is found that the angle measurement has to be within 1.2º of 30º.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, considering the horizontal distance and the actual angle, the following equation is applied to find the actual height:
[tex]\tan{30^\circ} = \frac{h}{25}[/tex]
[tex]h = 25\tan{30^\circ}[/tex]
h = 14.43.
For an error of 5%, the bounds of h are as follows:
[tex]h_{min} = 0.95 \times 14.43 = 13.71[/tex]
[tex]h_{max} = 1.05 \times 14.43 = 15.15[/tex]
Hence, the angles will be given by:
[tex]\tan^{\alpha} = \frac{13.71}{25}[/tex]
[tex]\alpha = \tan^{-1}{\left(\frac{13.71}{25}\right)}[/tex]
[tex]\alpha = 28.8[/tex]
[tex]\tan^{\alpha} = \frac{15.15}{25}[/tex]
[tex]\alpha = \tan^{-1}{\left(\frac{15.15}{25}\right)}[/tex]
[tex]\alpha = 31.2[/tex]
Hence the angle measurement has to be within 1.2º of 30º.
More can be learned about the slope concept at https://brainly.com/question/18090623
Find the value of x. (25 points!)
Answers
Answer:
22.5
Step-by-step explanation:
By the angle bisectors theorem,
30/32 = x/24
x=24(30/32) =22.5
We did it! We made it to the end! thanks for helping everyone!
Answers
Answer:
12.058
Step-by-step explanation:
You steal one "count" from the 8, and move it to the 7 so you have 12.0587, instead of 12.0578. Then, you are able to take off the 7 from the back.
QUESTION 3
(15 marks)
Binomial probability A JHB car Salesman found that 1 out of 5 of consultations result is a sale. If on the
randomly selected day he makes eight 8 consultations what is the probability that he will make.
3. 1 At most, one sale
3. 2 At least one sale
3. 3 Two or three sales
3. 4 Six sales
Answers
Using the binomial distribution, it is found that:
3.1 There is a 0.5033 = 50.33% probability that he makes at most one sale.
3.2 There is a 0.8322 = 83.22% probability that he makes at least one sale.
3.3. There is a 0.4404 = 44.04% probability that he makes two or three sales.
3.4. There is a 0.0011 = 0.11% probability that he makes six sales.
What is the binomial distribution formula?
The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
1 out of 5 of consultations result is a sale, hence p = 1/5 = 0.2.8 consultations are considered, hence n = 8.Item 1:
The probability that he makes at most one sale is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8,0}.(0.2)^{0}.(0.8)^{8} = 0.1678[/tex]
[tex]P(X = 1) = C_{8,1}.(0.2)^{1}.(0.8)^{7} = 0.3355[/tex]
Then:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.1678 + 0.3355 = 0.5033[/tex]
There is a 0.5033 = 50.33% probability that he makes at most one sale.
Item 2:
The probability that he makes at least one sale is:
P(X > 1) = 1 - P(X = 0) = 1 - 0.1678 = 0.8322.
There is a 0.8322 = 83.22% probability that he makes at least one sale.
Item 3:
The probability that he makes two or three sales is given by:
[tex]P(2 \leq X \leq 3) = P(X = 2) + P(X = 3)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{8,2}.(0.2)^{2}.(0.8)^{6} = 0.2936[/tex]
[tex]P(X = 3) = C_{8,1}.(0.2)^{3}.(0.8)^{5} = 0.1468[/tex]
Then:
[tex]P(2 \leq X \leq 3) = P(X = 2) + P(X = 3) = 0.2936 + 0.1468 = 0.4404[/tex]
There is a 0.4404 = 44.04% probability that he makes two or three sales.
Item 4:
The probability that he makes six sales is P(X = 6), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{8,6}.(0.2)^{6}.(0.8)^{2} = 0.0011[/tex]
There is a 0.0011 = 0.11% probability that he makes six sales.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
Does 5, 7, and 9 make a right angle?
Answers
No
Step-by-step explanation:
For a triangle to have a right angle the square sums of the legs have to equal the square of the hypotenuse.
In this case 9 is the hypotenuse which is the longest side in a triangle. 5 and 7 are the two smaller sides which make them the legs.
Putting this set of numbers into the pythagorean theorem is the way to solve this.
5²+7² should equal 9² if the triangle is a right triangle.
Solve the squares: 25+49=81
This would add up to be 74 and that is not equal to 81, so by this statement we can conclude that 5, 7, and 9 do not make a right triangle.
4. Find the value of x.
to
90°
Answers
Answer:
90
Step-by-step explanation:
Measure of one arc = 90°
-> Measure of other arc = 360°- 90° = 270°
x° = 1/2 (270° - 90°)
-> x° = 1/2 * 180°
-> x° = 90°
-> x° = 90°
-> x = 90
A summer camp had
440
campers register this year. This is a
10
%
increase over the number registered last year.
Part A
The equation below relates
440
and
c
,
the number of campers registered last year. Complete the equation by entering a number in the
□
.
Enter only a whole number or decimal.
c
=
440
Part B
Enter a number in the
□
to show how many campers,
c
,
were registered last year.
campers
Answers
The equation that relates the number of campers this year to the number of campers last year is c = 440 / 1.10
The number of campers last year is 400.
What are percentages?
Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentages are used to measure frequency.
How many campers attended last year?The number of campers last year = number of campers this year / (1 + percentage increase)
440 / 1.1 = 400
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Which equation can be used to find the area of the parallelogram 4cm and 6cm and 10cm
Answers
A and b are are the 2 parallel sides
H is the height
Dersan went for a run to prepare for a long distance race coming up. From his house, he ran 6 miles directly north, and then 8 miles directly west. From there, he ran the diagnoal distance back to his house. How many total miles did Dersan run?
Answers
Answer:
24
Step-by-step explanation:
So, Dersan's path is a right triangle. You have to find the last side. You can use the triples or 6^2+8^2=c^2 but I'll use a triple.
3,4,5.
The last side is 10.
6+8+10=24
hope this helped!
Please help with this problem. I don’t understand the answer for this equation. The answer for this equation is 7/2( a+ b) i’m just not understanding where the seven is coming from.
Answers
Answer:
7/2(a+b)
Step-by-step explanation:
To add fractions you need to find the LCM (least common multiplier) and then combine.
least common multiplier of a+b, 2(a+b) : 2(a + b)
Adjust fractions based of LCM
2/2(a + b) + 5/2(a +b)
2+5/2 (a + b) =
7/2 (a + b)
I hope this makes sense! :)
Hi please help me with this thank you so much, kk reward branliest
Answers
Answer:
1. B = 61.5 ft²2. h = 12 ft3. V = 738 ft³Step-by-step explanation:
Firsly ,we notice that the base of the prism is a regular pentagon
regular means the five sides of the pentagon are equal in measure .
_______
Formula :
Area of a regular pentagon B = 1/2 × p × a;
where p is the perimeter of the pentagon
a is the apothem of the pentagon
_______________________________
then p = 5×6 = 30 ft
a = 4.1 ft. (Given)
therefore ,
B = 1/2 × p × a
= (1÷2) × 30 × 4.1 = 61.5 ft²
height of the prism h = 12 ft (given)
Volume V = B × h = 61.5 × 12 = 738.ft³
Complete each sentence with minimum or maximum and the corresponding numeric values.
The
value of f(x) = –|x – 4| – 5 is
when x =
.
The
value of f(x) = x2 – 2x + 1 is
when x =
.
Answers
Answer:
First problem: max when x = 4
Second problem: min when x = 1
Step-by-step explanation:
The graph of f(x) = –|x – 4| – 5 is a translation of that of g(x) = -|x|. The vertex of the latter is (0, 0). First this must be translated 4 units to the right and then the resulting graph 5 units downward. The vertex of this translation is (4, -5). Since this graph opens downward, this (4, -5) is the maximum function value, that is, when x = 4.
The graph of f(x) = x2 – 2x + 1, or (better yet) f(x) = x^2 – 2x + 1, or
f(x) = (x - 1)^2 + 0, is that of a parabola that opens upward and has its minimum at x = 1, or (1, 0).
What is the difference between renewable and non-renewable resources? (Select all that apply).
1. Non-renewable resources can replenish themselves, but renewable resources cannot.
2. Renewable resources can replenish themselves, but non-renewable resources cannot.
3. Non-renewable resources are in abundance, but renewable resources are limited.
4. Renewable resources are in abundance, but non-renewable resources are limited.
Answers
Answer:
non renewable you can't renew what you already bought and renewable you can renew what you bought
Answer:
yes
Step-by-step explanation:
Suppose there are 20 equally-sized marbles in a bag. Six marbles are blue, seven red, three of them orange, three of them black, and one green. If you choose a red marble, you win nothing. Selecting a blue marble will win you 25 cents. Selecting an orange marble will win you 50 cents, selecting a black marble will cost you a dollar, and if you choose the green one, you win three dollars.
Answers
Answer:
i dont know what youre trying to answer but if your trying to answer how much money can you get if you get all of the marbles you get $9
just blue- $1.50
just orange- $1.50
just black- $3
just green- $3
red=$0
A T-shirt company wants to make at least $1,000 during a weekend and they sell $10 and $20 shirts. They want to sell at least 60 shirts. What are the vertices of the feasible region? Select all that apply.
Answers
Answer:
90 if I am wrong sorry I have a hard time with math
Evaluate 49x - 2 when x = 1
Answers
Answer:
47
Step-by-step explanation:
49x - 2
==> plug in x = 1
49(1) - 2
==> multiply 49 and 1
49 - 2
==> subtract 2 from 49
= 47
Answer:
47
Step-by-step explanation:
49x means 49×x
So substituting 1 into the equation gives us :
(49×1)-2
49-2
47
Therefore our answer is 47.
Solve log x = 4. plese help
Answers
Answer:
x = 10^4 = 10000
Step-by-step explanation:
log(x) = 4
x = 10^4
I NEED HELP FAST
LIKE FAST FAST HELP MEEEE
Answers
Answer:
<DFE
Step-by-step explanation:
Verticle angles are when they are directly apart and equal. So,
Fill in the blank to make the fractions equivalent. 10/16 and /8 ?
Answers
Answer:
5 or 5/8
Step-by-step explanation:
To go from 10/16 to a bottom number/denominator of 8, you have to divide by 2.
Whatever you do to the top, you also do to the bottom, so you would divide 10, the numberator, by 2 to find the missing value.
10/2 is 5.
There is your answer.
In Texas, the average number of tornadoes in May was about 154% of the average number of tornadoes in April. Write and solve a proportion to find the average number of tornadoes that occurred in April.
Answers
The table of the average number of tornadoes is an illustration of proportions
The average number of tornadoes in April is 28
How to determine the average number of tornadoes in April?From the table, we have:
Average number of tornadoes in May in Texas = 43
From the question, we have:
May = 154% * April
This gives
43 = 154% * April
Express as decimal
43 = 1.54 * April
Divide both sides by 1.54
April = 27.9
Approximate
April = 28
Hence, the average number of tornadoes in April is 28
Read more about proportions at:
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What is the equation of this trend line?
Enter your answers by filling in the boxes.
please help me get into my dream school!
Answers
Answer:
Step-by-step explanation:
The line rises to the left so the slope is negative.
The slope m = -24/12 = -2.
Using the point-slope formula and taking the point (12, 0) on the line:
y - y1 = m(x - x1) where m = -1, x1 = 12 and y = 0:
y - 0 = -2(x - 12)
y = -2x + 24 <------- this is the required equation.
Answer:
Blank 1 : -2
Blank 2 : 24
Step-by-step explanation:
The first blank denotes the rate of change, or the slope of the graph.
Slope = y₂ - y₁ / x₂ - x₁
m = 16 - 24 / 4 - 0m = -8/4m = -2Blank 1 : -2The second blank denotes the value of variable K when the value of variable J is 0, or rather the y-intercept of the graph.
The y-intercept is clearly (0, 24)
Blank 2 : 24The length of a rectangle is three times its width.
If the perimeter of the rectangle is 64 cm, find its length and width.
Answers
Answer:
Length: 24 cm
Width: 8 cm
Explanation:
Let Width be "w"
Then Length is "3w"
=================
Perimeter of rectangle = 2(length+width)
===================================
2(3w+w) = 64(4w) = 32w = 8So, width is 8 cm
Length: 3w ⇒ 3(8) ⇒ 24 cm
Answer:
Length = 24 cmWidth = 8 cmStep-by-step explanation:
Given
Length = 3 x Width Perimeter = 64 cmSolving
Perimeter = 2(Length) + 2(Width)Perimeter = 2(Length + Width)Perimeter = 2(3 x Width + Width)Perimeter = 2(4 x Width)Perimeter = 8 x Width64 = 8 x WidthWidth = 64/8 = 8 cmLength = Width x 3 = 8 x 3 = 24 cmWhat is pi with 400 numbers.
Answers
the first 400 digits of pi
3.1415926535897932384626433832795028841971
6939937510582097494459230781640628620899
8628034825342117067982148086513282306647
0938446095505822317253594081284811174502
8410270193852110555964462294895493038196
4428810975665933446128475648233786783165
2712019091456485669234603486104543266482
1339360726024914127372458700660631558817
4881520920962829254091715364367892590360
0113305305488204665213841469519415116094
Solve for x and y
7y - 5x = 45
x = 8 – 2y
Answers
Answer:
Hope the pictures will help you.
The solution to the system of equations is x = -2 and y = 5.
What is the solution to the system of equations?Given the parameters:
7y - 5x = 45
x = 8 - 2y
To solve the system of equations, substitute the expression for x from the second equation into the first equation.
7y - 5x = 45
Plug in x = 8 - 2y:
7y - 5( 8 - 2y) = 45
7y - 40 + 10y = 45
Collect and add like terms:
7y + 10y = 45 + 40
17y = 85
y = 85/17
y = 5
Plug the value of y into the second equation and solve for x:
x = 8 - 2y
Plug in y = 5:
x = 8 - 2( 5 )
x = 8 - 10
x = -2
Therefore, the value of x is -2 and y is 5.
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Find the perimeter of the composite figure
Answers
7+7+5+5=24
So therefore the permeter is 24
The surface area of a cylinder is 432 pi yd2. The height of the cylinder is five times the radius. What is the diameter of the cylinder?
Answers
Since the surface area of this cylinder is [tex]432\pi \;yd^2[/tex], its diameter is equal to 12 yards.
How to calculate surface area.Mathematically, the surface area (SA) of a cylinder is given by this formula:
[tex]S.A = 2\pi rh + 2\pi r^2[/tex]
Where:
h is the height.r is the radius.Given the following data:
Surface area of cylinder = [tex]432\pi \;yd^2[/tex]Height = 5r.Substituting the given parameters into the formula, we have;
[tex]432\pi = 2\pi r(5r) + 2\pi r^2\\\\432\pi = 2\pi 5r^2 + 2\pi r^2\\\\216=5r^2+r^2\\\\216=6r^2\\\\r^2=36\\\\r=\sqrt{36}[/tex]
r = 6 yards.
For the diameter:
Diamter = 2 x radius
Diamter = 2 x 6
Diameter = 12 yards.
Read more on surface area here: brainly.com/question/21367171
