Answers
Answer:
Step-by-step explanation:
let the missing side be x
a^2+b^2=c^2
6^2+12^2=x^2
36+144=x^2
180=x^2
[tex]\sqrt{180[/tex] =x
6[tex]\sqrt{5[/tex] =x
for angle C
take angle C as reference angle
using tan rule
tan C=opposite/adjacent
tan C=6/12
tan C=0.5
C=[tex]tan^{-1}[/tex]0.5
C=26.6 degree
Related Questions
answer?? what’s is the value of a
Answers
Answer:
13
Step-by-step explanation:
since the inside of a triangle is equal to 180
180-42-73=65
65/5=13 so 13 should be the answer.
Sum of the interior angles of a triangle= 180°
Therefore, 42°+ 73°+5a= 180°
=> 115°+5a = 180°
=> 5a= 180- 115°
=> 5a = 65°
=> a = 65°/5
=> a= 13°
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Which function corresponds to the table?
A)
y = 3x - 2
B) is eliminated
C)
y = -2x + 3
D)
y = -3x + 2
Answers
Answer:
c
Step-by-step explanation:
0 is at 3 so its +3
the difference between y's is -2 and between x's is 1 so -2/1 is -2 as you slope
A cylinder has a height of 10 inches and a diameter of 1 1/2 inches. What is the volume of the cylinder
Answers
Answer:
7.85 in³
Step-by-step explanation:
π · r² · h
3.14 · 0.5² · 10
7.85 in³
A cyclist rides at a constant speed, traveling 52 miles in 2.25 hours. Write a proportion that gives the number x of hours it takes the cyclist to ride 114 miles. I’ll give 30 points
Answers
Answer:
4h55m57.69ssss
Step-by-step explanation:
2,25×114÷52
Solve the equation. Check your Solution.
-3 1/3 ÷ -1/2
Answers
Answer:
1.6 or 1.67
Step-by-step explanation:
How could you put that is a mathematic form??
Answers
Graph a line with a slope of 3/4 that contains the point (2,-3)
Answers
Answer:
[tex]y=\frac{3}{4} x-\frac{9}{2}[/tex]
Step-by-step explanation:
Y=mx+c
Y=-3, X=2, m=3/4
(2)(3/4)=6/4=3/2
-3-3/2=-9/2
SO,
c=-9/2
factorize: 4x²-3y-6x+2xy
Answers
Answer:
The answer is (2x+y)(2x-3)
Step-by-step explanation:
I learned this on ixl, its kind of hard to explain.
Which function is graphed on the right? y = 2x+3 – 2 y = 2x–3 + 2 y = 2x–2 + 3 y = 2x–2 – 3 On a coordinate plane, an exponential function approaches y = 3 in quadrant 2 and increases exponentially in quadrant 1.
Answers
Answer:
(B) Second Graph
Step-by-step explanation:
Edge 2021
Answer:
C on edge 2022
Step-by-step explanation:
y = 2^x–2 + 3
Testing mom answer key for Isee Middle level test 4 entering 7th - 8th grade. Find the answer key and send to me or put here! Pls help me! I will give brainliest! (Both math and reading)
Answers
Answer:
https://cdn.erblearn.org/pdf/www/WTE_Middle_September2018_FINAL.pdf
Step-by-step explanation:
This may be it! Sorry, I didn’t take the ISEE, I only took the SHSAT! I’ll keep looking for it!
A boat heading out to sea starts out at Point A, at a horizontal distance of 639 feet from a lighthouse/the shore. From that point, the boat's crew measures the angle of elevation to the lighthouse's beacon-light from that point to be 11 degrees . At some later time, the crew measures the angle of elevation from point B to be . Find the 3 degrees distance from point A to point B. Round your answer to the nearest foot if necessary .
Answers
9514 1404 393
Answer:
1731 ft
Step-by-step explanation:
The tangent relation is useful in this problem.
Tan = Opposite/Adjacent
The height of the light is found to be ...
tan(11°) = height/(639 ft)
height = (639 ft)·tan(11°) . . . . . solve for height
Then the distance from the light to point B is ...
tan(3°) = height/(B distance)
B distance = height/tan(3°) = (639 ft)·tan(11°)/tan(3°) ≈ 2370 ft
Then the distance from point A to point B is ...
2370 ft -639 ft = 1731 ft . . . AB distance
Tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance between points A and B is 1731 feet.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
As it is given that the distance between the lighthouse and point A is 639 feet, while the angle of elevation from that point is 11°. therefore, using the tan function, the height of the lighthouse,
[tex]\rm Tan(\theta) = \dfrac{Perpendicular}{Base}\\\\Tan(11^o) = \dfrac{CD}{CA}\\\\Tan(11^o) = \dfrac{CD}{639}\\\\Tan(11^o) \times 639 = CD\\\\[/tex]
As we know that CD is the height of the lighthouse, now
In Δ BCD
The tan function for the distance between the lighthouse and point B can be written as,
[tex]\rm Tan(\theta) = \dfrac{Perpendicular}{Base}\\\\Tan(3^o) = \dfrac{CD}{CA}\\\\Tan(3^o) = \dfrac{Tan(11^o) \times 639}{CA}\\\\CA = 2370\ ft.[/tex]
Hence, the distance between the lighthouse and Point B is 2370 ft.
Now, we know the distance between the lighthouse and Point A, and the distance between the lighthouse and Point B, therefore,
The Distance between Point A and B (AB) = CB - CA
= 2370 - 639
= 1731 ft.
Learn more about Tangent (Tanθ):
https://brainly.com/question/10623976
Use the svd() function in MATLAB to compute , the rank-1 approximation of . Clearly state what is, rounded to 4 decimal places. Also, compute the root mean square error (RMSE) between and .
Answers
Answer:
Here is the Matlab code.
Step-by-step explanation:
Matlab Code:
[tex]A = [1 2 2;3 4 5;6 7 8]\\[U,S,V] = svd(A)u1 = U(:,1)\\u2 = U(:,2)\\u3 = U(:,3)\\d1 = dot(u1,u2)\\c = cross(u1,u2)\\d2 = dot(c,u3)[/tex]
[tex]d1 =- 5.5511e-17\\c = -0.7172 0.6643 -0.2103\\d2 = 1[/tex]
Yes, since c = cross(u1,u2) is orthogonal to both u1 and u2. Hence is u3, thus the dot product with u3 is 1.
If the total area of a dartboard is 804 in2 and the area of the bull's-eye is 50in2, what is the probability that a dart that randomly hits the dartboard will hit the bull's-eye?
Answers
Answer:
6.2%, option A.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
The desired area to hit is of 50 in², while the total area is of 804 in². Thus, the probability of hitting the bull's-eye is:
[tex]p = \frac{50}{804} = 0.062[/tex]
0.062*100% = 6.2%.
6.2%, option A.
The basketball team scored
24 points. Uriah scored 7 of the points. About
what percent
of the points did he score?
Answers
Please help find domain and range
Answers
========================================================
Explanation:
We want to avoid having a negative number under the square root. Solving [tex]x-4 \ge 0[/tex] leads to [tex]x \ge 4[/tex]
So it appears the domain could involve x = 4 itself; however, if we tried that x value, then we'd get a division by zero error.
So in reality, the domain is x > 4.
-------------
The range of y = sqrt(x) is the set of positive real numbers. So y > 0 is the range for this equation. Shifting left and right does not affect the range, so the range of y = sqrt(x-4) is also y > 0.
We are dividing a positive number (3) over some positive number in the denominator. Overall, the expression [tex]\frac{3}{\sqrt{x-4}}[/tex] is positive because positive/positive = positive.
Therefore, the range of the given equation is y > 0
-------------
The graph is shown below. We have a vertical asymptote at x = 4 and a horizontal asymptote at y = 0. The green curve is fenced in the upper right corner (northeast corner).
Calculate the area of the composite shape below.
A. 160 m2
B. 166 m²
C. 170 m2
D. 190 m²
NEED HELP PLEASE check the picture
Answers
Answer:
Area of the rectangle + area of trapezium
(6×20)m² + 1/2×(8+20)× 5m²
120+ 70m²
190 m²
OPTION D
is (0,3) a solution to y>2
Answers
Answer:
y>1
Step-by-step explanation:
can someone help me please! it's dude today in 30 minutes & i am having a hard time .
Answers
x = 109
Step-by-step explanation:
1. All of a triangles angles will add up to 180 degrees
2. Take 180 then subtract 48 from 180
3. Your new number is now 132. Take 132 then subtract 23.
4. Answer is 109
Answer:
x=109°
Step-by-step explanation:
In a triangle, all the angles have to add up to 180° and so add and then subtract to find x
48+23=71
180-71=109
so, x=109°
David's wife sends him to the store to buy pickles and ice cream. Ice cream cost 3 dollars per pound and pickles costs 4 dollars per pound. David has 60 dollars in his wallet. Let x be the number of pounds of ice cream and y be the number of pounds of pickles that David purchases. State the inequality that represents his budget, and graph the solution that represents the possible combinations of x and y . Express your answer with the standard form a x + b y on the left side. The budget inequality is __________________
Answers
Answer:
3x+4y=60
Step-by-step explanation:
3x+4y=60
Rewrite 12%as a common fraction in a simple form
Answers
Answer:
3/25
Step-by-step explanation:
12% = [tex]\frac{12}{100}=\frac{4*3}{4*25}=\frac{3}{25}[/tex]
Convert percentage to fraction and then simplify
Answer:
3/25
Step-by-step explanation:
12% = 12/100 = 3/25 = 3/25
Can anyone tell me the correct answer of this. I already have it but I wanna make sure. please
Answers
Answer:
x = 44.3°
Step-by-step explanation:
Redrawing the triangle,
To obtain x, we can apply the trigonometric relation :
Sin x = opposite / hypotenus
Opposite side = 6.5
Hypotenus = 9.3
Sin x = 6.5/9.3
x = sin^-1(6.5 / 9.3)
x = 44.34
x = 44.3°
in a recent year 33% of the college students were enrolled part-time. if 7.9 million students were enrolled part-time that year what was the total number of the college students?
Answers
Answer:
23.9393939393 million
Step-by-step explanation:
I keep it as 7.9 instead of 7900000 to not deal with the zeros.
7.9x[tex]\frac{100}{33}[/tex]=23.9393939393
23.9393939393 answer in millions
write a function rule for the table.
A. f(x)=-2x
B. f(x)=x+2
C. f(x)=x-2
D. f(x)=2x
Answers
Use the square roots property to solve equation (6x-7)/2+4=21
Answers
Answer:
[tex]22\frac{1}{6}[/tex]
Step-by-step explanation:
2+4=6
21X6=126
126+7=133
133/6= 22R1
What is the probability of flipping a coin 10 times and getting tails 6 times? Round your answer to the nearest tenth of a percent. O A. 20.5% B. 11.7% O C. 1.0% O D. 4.4% SUBMIT
Answers
Answer:
0.2051
Step-by-step explanation:
The probability of follppping a coin 10 tones and getting a tail 6 times can be solved in different ways :
One way is to use the binomial probability relation :
Where :
P(x = x) = nCx * p^x * q^(n-x)
Number of trials, n = 10
p = 1/2 (probability of obtaining a tail per flip)
q = 1- 1/2 = 1/2
x = 6
P(x = 6) = 10C6 * 0.5^6 * 0.5^4
P(x = 6) = 0.205078125
P(x = 6) = 0.2051
PLEASEEEEE IM BEGGING SOMEONE I NEEED HELPPPPPPPPPPP PLEASEEEEEEEEE
Answers
Answer:
6
Step-by-step explanation:
Graphically, this is a very easy question to cheat through. I'll show the easiest way to solve.
First, add the four squares that make up the square in the center of the quadrilateral. Now, notice that the two triangles left on the ends are exactly the same size. So if you put them together, the cover up two more squares. Which gives you 2 + 4 =6.
Or the mathematical way which is to find the area of the square as 2 * 2 = 4
and the area of one triangle as 1/2 * 2 * 1 = 1 ad the other triangle is the same. So add all three 4 + 1 + 1 = 6
Jonathan heard a news report that eating a gluten-free diet makes a person more likely to have a positive outlook on life. This sounded appealing, but he felt he should investigate the claim before drastically changing his diet. Jonathan asked 128128128 people at his school whether they eat gluten-free and then determined whether they are positive or negative people. Jonathan found that there was no association between eating gluten-free and having a positive outlook. With this knowledge, fill in the missing joint frequencies below:
Gluten-free Non- Gluten-free Row Total
Positive ________ ______________ 64
Negative ________ ______________ 64
Column Total 12 116 128
Answers
Answer:
The answer is "6, 58, 6 and 58"
Step-by-step explanation:
Using formula:
[tex]Cell\ value = \frac{(row \ total) \times (column \ total)}{total}[/tex]
[tex]Gluten-free \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Not\ gluten \ free \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Row \ total[/tex]
[tex]Positive\ \ \ \ \ \ \ \ \ \ \ \frac{12\times 64}{128}=6 \ \ \ \ \ \ \ \ \ \ \ \ \frac{116\times 64}{128}=58 \ \ \ \ \ \ \ \ \ \ \ 64 \\\\Negative\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{12\times 64}{128}=6 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{116\times 64}{128}=58\ \ \ \ \ \ \ \ \ \ \ 64 \\\\Column\ Total \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 12\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 116\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 128[/tex]
What are the 4 steps to solving an equation?
Answers
Answer:
Adding, Substracting, multiplication and division. If you add the same number to both sides of an equation, both sides will remain equal.
Step-by-step explanation:
What are the coordinates of the point that is of the way from A(-8, -9) to
B(24, -1)?
O A. (-6,4)
B. (12,-4)
C. (4,-6)
O D. (-2, 4)
Answers
Answer:
c
Step-by-step explanation:
.
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How to write a solution to the equation x^2=5 using exponents and radicals
Answers
Answer:
x = sqrroot(5)
Step-by-step explanation:
The radical form of x²=5 is x= ±√5.
What is Radical form?The √ symbol that is used to denote square root or nth roots.
An expression with a square root is referred to as a radical expression. Radicand: A value or phrase included within the radical symbol.
Radical notation is the usage of a root in an expression, such as the square or cube root.
For example, radical form is ∛3 = √27.
Given:
x²=5
Now, we have to write it in the radical form.
So, we can write
x= ±√5
Hence, the radical form of x²=5 is x= ±√5.
Learn more about radical form here:
https://brainly.com/question/27272065
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