Answer:
x = 7.5
Step-by-step explanation:
take 20 degree as reference angle
using cos rule
cos 20 = adjacent / hypotenuse
0.93 = 7/x
x = 7/0.93
x = 7.5
Which of the following verifies that AABC is similar to ADEF?
A. AA postulate
B. SAS theorem
C. Similarity cannot be determined.
D. SSS theorem
Answer:
B. SAS Theorem
Step-by-step explanation:
SAS means that there are 2 corresponding sides with an angle in between. This condition is satisfied in this case because AC corresponds to DF (18/2 = 9), angle c and angle f are congruent, and BC corresponds to EF
By ''SAS theorem'' triangle ABC is similar to DEF.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
To find the theorem which can be used to verify triangle ABC is similar to DEF.
Now,, By figure,
There are one angle are common.
And, Ratio of two sides are equal.
Hence, By ''SAS theorem'' triangle ABC is similar to DEF.
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X -3/7 equals four what is X
Answer:
x = 4 3/7
Step-by-step explanation:
x - 3/7 = 4
x = 4 + 3/7
x = 4 3/7
If my answer is incorrect, pls correct me!
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-Chetan K
The probability that a male professional golfer makes a hole-in-one is 1/2780. Suppose 36 professional male golfers play the sixth hole during a round of golf. Let the random variable X be the number of golfers in the group of 36 who make a hole-in-one. Calculate the probability that exactly four of the 36 golfers make a hole-in-one on the sixth hole – as actually happened during the 1989 U.S. Open
Answer:
The right solution is "[tex]9.7\times 10^{-10}[/tex]".
Step-by-step explanation:
According to the question,
The probability that male professional golfer makes hole in one will be:
[tex]P=\frac{1}{2780}[/tex]
Number of players,
n = 36
and,
[tex]q=1-P=\frac{2779}{2780}[/tex]
By using the Binomial theorem, we get
⇒ [tex]P(x=r) = \binom{n}{r} p^r q^{n-r}[/tex]
Bu substituting the values, we get
[tex]=\binom{36}{4} (\frac{1}{2780} )^4 (\frac{2779}{2780} )^{32}[/tex]
[tex]=9.74929\times 10^{-10}[/tex]
or,
[tex]=9.7\times 10^{-10}[/tex]
Ty
7
What is the slope of a line that is perpendicular to the line
shown on the graph?
6
5
O-2
4
3+
2
2
0 -
0 2 / 2
o
1
O 2
1
2 3
4 5 6 7 X
7 6 5 4 3 2 - 21.
-2-
--3-
6
Answer:
-1/2
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes.
The solution is, -1/2 is the slope of a line that is perpendicular to the line
shown on the graph.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
we have to,
find the slope of the line shown using
the formula, m = y1- y2 / x1- x2
from the given graph we get,
Let
P1(0,1)
P2(1,3)
now we get,
replacing
m = 2/1
= 2
so, here, m1 = 2
two lines are perpendicular when
m1 * m2 = -1
as, we know that,
Perpendicular lines have negative reciprocal slopes.
so, we get ,
m2 = -1/2
Hence, The solution is, -1/2 is the slope of a line that is perpendicular to the line
shown on the graph.
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(a+b)^2= ???? hihihihihi
Answer:
(a+b)^2=a2+2.a.b+b^2
Answer:
(A+B)^2=A^2+2AB+B^2
Step-by-step explanation:
Find all real values of a such that the given matrix is not invertible.
A= [0 9 a]
[a 1 7]
[0 a 1]
Answer:
The answer is "0,3,-3".
Step-by-step explanation:
Let the matrix is not invertible.
then |A|=0
[tex]\left|\begin{array}{ccc}0&9&a\\a&1&7\\0&a&1\end{array}\right|=0[/tex]
[tex]-a[9-a^2]=0\\\\a=0\\\\a=\pm 3\\\\a=0, 3,-3\\[/tex]
what is the area measured and square centimeters of square picture below
three student share a townhouse their electric bill for october was 3.87 less than the september bill. the total of both bills is 237.75 and is split evenly how much did each owe in september
Answer: 40.27
Step-by-step explanation:
Let their September bill be x
Therefore, the October bill will be = x - 3.87.
Therefore, the addition of both bills will be:
x + (x - 3.87) = 237.75
x + x - 3.87 = 237.75
2x - 3.87 = 237.75
2x = 237.75 + 3.87
2x = 241.62
x = 241.62/2
x = 120.81
Therefore, September bill was 120.81
Since the 3 students share the bull equally, the amount owed by each will be:
= 120.81 / 3
= 40.27
Each person owes 40.27
giải phương trình Bermolli : y' +[tex]\frac{y}{x}[/tex] =x[tex]y^{2}[/tex]
Answer:
y(x) = -1/(x^2 + c_1 x)
Step-by-step explanation:
Solve Bernoulli's equation ( dy(x))/( dx) + y(x)/x = x y(x)^2:
Divide both sides by -y(x)^2:
-(( dy(x))/( dx))/y(x)^2 - 1/(x y(x)) = -x
Let v(x) = 1/y(x), which gives ( dv(x))/( dx) = -(( dy(x))/( dx))/y(x)^2:
( dv(x))/( dx) - v(x)/x = -x
Let μ(x) = e^( integral-1/x dx) = 1/x.
Multiply both sides by μ(x):
(( dv(x))/( dx))/x - v(x)/x^2 = -1
Substitute -1/x^2 = d/( dx)(1/x):
(( dv(x))/( dx))/x + d/( dx)(1/x) v(x) = -1
Apply the reverse product rule f ( dg)/( dx) + g ( df)/( dx) = d/( dx)(f g) to the left-hand side:
d/( dx)(v(x)/x) = -1
Integrate both sides with respect to x:
integral d/( dx)(v(x)/x) dx = integral-1 dx
Evaluate the integrals:
v(x)/x = -x + c_1, where c_1 is an arbitrary constant.
Divide both sides by μ(x) = 1/x:
v(x) = x (-x + c_1)
Solve for y(x):
y(x) = 1/v(x) = -1/(x^2 - c_1 x)
Simplify the arbitrary constants:
Answer: y(x) = -1/(x^2 + c_1 x)
Please help I will Mark if your right
Answer:
Line DC.
Step-by-step explanation:
Point D and Point C are not connected and, therefore, do not form a line.
Geometry
DC is not a line, due to it not being connected.
I need help on this practice question
Answer:
6ft
Step-by-step explanation:
first you need to properly provide your work
what is the slope of the line passing through the points A(-2,-3) and B(6,4) ?
Answer:
Slope is the change in y over the change in x. Just subtract and simplify the fraction.
Step-by-step explanation:
(-3 - 4)
______
(-2 - 6)
PLEASE HELP IM GONNA FAIL
Answer:
16 in.
Step-by-step explanation:
formula to find area of a triangle
A=1/2bh
A=1/2(8)(4)
A=1/2(32)
A=16
hope this helps:)
There are 18 white
socks and 27 black
socks in a drawer.
Write the ratio of white
socks to black socks.
Answer: 18:27 I believe
Step-by-step explanation: There are 18 white socks and 27 black socks therfore the answer is 18:27
is this table a function? PLEASE HELPPP
Answer:
It is a function.
Step-by-step explanation:
I would suggest use the website Desmos.
Help please . Help . Thank you
Answer:
Total weight = 111.6 lbs
Step-by-step explanation:
Given the following data;
Length = 1 feet
Width = 9.5 feet
Height = 13.5 feet
Mass of contents = 0.87 pounds per cubic foot
To find the weight of the contents in the container;
First of all, we would determine the volume of the rectangular prism;
Volume = length * width * height
Volume = 1 * 9.5 * 13.5
Volume = 128.25 cubic feet
Next, we find the overall weight;
Total weight = volume * mass of contents
Total weight = 128.25 * 0.87
Total weight = 111.6 lbs
Find the equation of the line that contains the point
P(−4, −1)
and is perpendicular to the graph of
y = − 4/5x − 4.
Answer:
Step-by-step explanation:
y = − 4/5x − 4.
y = 5/4 x - 4
-1 = 5/4(-4) + b
-1 = -5 + b
b = 4
y = 5/4 x + 4
The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is Fraction 2 over 3 unit and the width is Fraction 1 over 3 unit, what is the perimeter of the rectangle in units?
Answer:
Perimeter = 1 unit
Step-by-step explanation:
[tex]length \ is \ a \ fraction \ 2 \ over \ 3 = \frac{2}{3}\\\\Width \ is \ a \ fraction \ 1 \ over \ 3 = \frac{1}{3}\\\\Perimeter = 2 ( l + w)\\[/tex]
[tex]= 2 \times (\frac{2}{3} + \frac{1}{3}) \\\\=2 \times (\frac{3}{3})\\\\= 1 unit[/tex]
Which statement is false? A. A number is even if and only if it is divisible by 2. B. 3x=15 if and only if x=5. C. Two points are collinear if and only if they lie on the same line. D. Two angle form a linear pair if and only if they are adjacent
Answer:
option Ais false
Step-by-step explanation:
this is because even number can be divisible by 2 and its multiples as well which are larger than 2 as well.
Surface area of rectangular prism length 6 in., width 5 in., height 12 in.
The surface area is 324
Answer:
The surface area of this rectangular prism is 324 [tex]inches^{2}[/tex].
Step-by-step explanation:
The formula for surface area of a rectangular prism is this :
A = 2(wl + hl + hw)
l = 6, w = 5, h = 12.
Now knowing these values, we can solve for A.
A = 2(wl + hl + hw) = 2(5 · 6 + 12 · 6 + 12 · 5) = 324
The surface area of this rectangular prism is 324 [tex]inches^{2}[/tex].
Hope this helps, please mark brainliest. Have a great day!
6. The quotient of 5 and a number y, minus 10.
Answer:
5/y - 10
Step-by-step explanation:
I doubt the completeness of your question, however
the answer is
5/y - 10
A university student combined a cola drink that costs $0.50 per ounce with a cherry drink that costs $1.70 per ounce. How many ounces of each were used to make a combined mixture of 10 ounces costing $1.34 per ounce? If u was the amount of cherry drink, an equation that models the problem is: 1.70(O) + 0.50(O) = 1.34([ The amount of cherry drink was ounces. The amount of cola drink was ounces.
9514 1404 393
Answer:
cherry: 7 ozcola: 3 ozStep-by-step explanation:
Let u represent the amount (ounces) of cherry drink. Then the amount of cola is (10-u). The total cost of the cherry cola drink is ...
0.50(10 -u) +1.70u = 1.34(10)
1.20u +5 = 13.40 . . . . . . simplify
1.20u = 8.40 . . . . . . . . subtract 5
u = 7 . . . . . . . . . . . . . divide by 1.20
The amount of cherry drink was 7 ounces.
The amount of cola drink was 3 ounces.
last week Pizza Hut sold 36 pizzas,64 pepperoni pizzas and 20 veggie pizzas based on the data which number is closest to the probability that the next customer will order a cheese pizza
Answer:
13 pizzas maybe
Step-by-step explanation:
A ramp 35 ft long rises to a platform. The bottom of the platform is 18 ft from the foot of the ramp. Find x, the angle of elevation of the ramp. Round your answer to the nearest tenth of a degree. (PLZ HELP I NEED HELP!)
Answer:
[tex]x\approx 59.1^\circ[/tex]
Step-by-step explanation:
Since we want to find x and we are given the hypotenuse and the side adjacent to x, we can use the cosine ratio:
[tex]\displaystyle \cos x=\frac{\text{adjacent}}{\text{hypotenuse}}[/tex]
The adjacent side is 18 and the hypotenuse is 35. Substitute:
[tex]\displaystyle \cos x=\frac{18}{35}[/tex]
Take the inverse cosine both sides. Use a calculator (make sure you're in Degrees mode!). Hence:
[tex]\displaystyle x=\cos^{-1}\frac{18}{35}\approx59.1^\circ[/tex]
A square has a side length of 3x3y5. What is the area of the square?
Answer:
9x^3 y^5
Step-by-step explanation:
Since the formula to finding area is (L*W = A), we first have to find the width.
Width: 3x^3 y^5 times 2 = 6x^3 y^5
Then we add them. So, 3x^3 y^5 + 6x^3 y^5 = 9x^3 y^5
54 x 11 = ( 34 +
) x 11
Answer:
20
Step-by-step explanation:
34 plus 20 is 54
A health food store was charging $5.40 for a small salad but raised the price 8%. The new price after the increase is $5.83.
Enter an expression to show how the new price was calculated.
Answer:
[tex]\frac{8}{100}[/tex]×5.40
Step-by-step explanation:
A kite is staked to the ground and blowing in the wind. It currently has a
string let out to a length of 89 meters. It has an altitude of 68 feet. To the
nearest tenth of a degree, find the angle of elevation.
Answer:
50 °
Step-by-step explanation:
that is the procedure above
Jamie says the value of the expression 1.43 x (19/37) is close to 0.75. Does Jamie's estimate seem reasonable? Explain. *
Answer:
Jamie's estimate is correct, since the result is 2.1% less than the estimated number.
Step-by-step explanation:
Given that Jamie says the value of the expression 1.43 x (19/37) is close to 0.75, to determine if Jamie's estimate seems reasonable the following calculation must be performed:
1.43 x (19/37) = X
1.43 x 0.513 = X
0.7343 = X
0.75 = 100
0.7343 = X
0.7343 x 100 / 0.75 = X
97.9 = X
Therefore, Jamie's estimate is correct, since the result is 2.1% less than the estimated number.
Define logic and explain how it is used in math.
Answer:
Logic is the study of how to critically think about propositions or statements that are either true or false.
Logic is very useful in the world of mathematics. Mathematicians use logic all the time to prove theorems and other mathematical facts. Everything we know about math right now is based off of these logical proofs. Without these, we wouldn't have our formulas, like the wonderful quadratic formula or the very useful Pythagorean Theorem.
Using logic in math is about mixing the specific language used in logic with the specific symbols used in math.
Step-by-step explanation: