Mason conjectures that in a right triangle, the cosine of an angle is always equal to the sine of its complement. Is Mason's conjecture correct? Choose the best answer.
Answer:
Yes, because the leg adjacent to one of the acute angles is opposite the other acute angle.
Step-by-step explanation:
Just did it
Solve
6
b.
> 15. Graph the solution.
The solution is
anyone know????
Answer:
b > 20
Step-by-step explanation:
1. isolate the b
3/4 • b > 15
Multiply both sides by inverse fraction 4/3:
3/4b • 4/3 > 15 • 4/3
Group like terms:
3/4 • 4/3 • b > 15 • 4/3
Simply the fraction:
b> 15 • 4/3
Multiply the fraction:
b> 15 • 4 / 3
Simplify the arithmetic:
b > 20
Find the length of the third side. If necessary, round to the nearest tenth 22 25
Solution :
We'll solve this using the Pythagorean Theorem.Let,
Let BC be perpendicular.22 be AB, where AB is the Base.25 be AC, where AC is the Hypotenuse.We know that,
[tex]{ \longrightarrow \bf \qquad \: (AB) {}^{2} +( BC) {}^{2} = (AC) {}^{2} }[/tex]
[tex]{ \longrightarrow \sf \qquad \: (22) {}^{2} +( BC) {}^{2} = (25) {}^{2} } [/tex]
[tex]{ \longrightarrow \sf \qquad \: (BC) {}^{2} = (25) {}^{2} - ( 22) {}^{2} }[/tex]
[tex]{ \longrightarrow \sf \qquad \: BC = \sqrt{(25) {}^{2} - ( 22) {}^{2}} }[/tex]
[tex]{ \longrightarrow \sf \qquad \: BC = \sqrt{625 - 484} }[/tex]
[tex]{ \longrightarrow \sf \qquad \: BC = \sqrt{141} }[/tex]
[tex]{ \longrightarrow \bf \qquad \: BC \approx11.87 }[/tex]
Therefore,
The length of the third side is 11.9 (Nearest tenth of 11.87) .Step-by-step explanation:
According to Pythagoras theorem ,
Hypotenuse² = Perpendicular ² + Base ²
Here , we have to find perpendicular
Hypotenuse = 25 unitBase = 22 unitSo,
Hypotenuse² - Base² = Perpendicular²
putting the known values
25² - 22² = perpendicular²
141 = perpendicular²
√141 = perpendicular
Perpendicular = 11.9 unit
How many different ways can 18 students be lined up no links please
Answer:
18
Step-by-step explanation:
Is this an IQ test?
My IQ is 145...
Answer:
18!
Step-by-step explanation:
the ! means factorial
that takes a # and all the # less and multiplies them
18 x 17 x 16 x 15 x 14...
This gives you the amount of ways to order the students
A right triangle has legs of length 136 cm and 119 cm. What is the length of the hypotenuse of the right triangle? Enter the answer, rounded to the nearest tenth, in the box.
Answer:
Hypotenuse= 180.7 cm
Step-by-step explanation:
Using Pythagoras' theorem:
a^2+b^2=c^2 (let c= Hypotenuse "H")
(136)^2 + (119)^2 = H^2
18496+14161 =H^2
H^2= 32657
Taking square root on both sides
[tex]\sqrt{H}[/tex]= [tex]\sqrt{32657}[/tex]
H=180.7
The Martin family went to dinner and spent $150. 00 on food and beverages. The tax rate is 8. 5%. AFTER the tax has been added, they decide to leave a 20% tip. How much is their total bill?
Answer:
$195.30
Step-by-step explanation:
In 2014, the number of home runs hit by the LA Dodgers accounted for 6% of 583 total home runs hit in the MLB. Approximately how many home runs did the LA Dodgers hit?
Answer:
583 x 6% = 34.98 = approximately 35
Answer:
[tex]
\begin{gathered}A=\underbrace{\begin{pmatrix}1&2\\4&3\end{pmatrix}}_{M_1}\underbrace{\begin{pmatrix}6&1&5\\7&3&4\end{pmatrix}}_{M_2}\end{gathered}[/tex]
Step-by-step explanation:
[tex]If AA is \: the \: matrix \: product
\begin{gathered} \: A=\underbrace{\begin{pmatrix}1&2\\4&3\end{pmatrix}}_{M_1}\underbrace{\begin{pmatrix}6&1&5\\7&3&4\end{pmatrix}}_{M_2}\end{gathered}A=M1(1423)M2(671354)[/tex]
What is the simplified form of the fraction below 14/49
Answer:
That would be 2/7.
Step-by-step explanation:
By finding the GCD between 14 and 49, you can reduce the fraction.
The GCD between 14 and 49 is 7.
By dividing both 14 and 49 by 7, you'll reduce your answer.
14/49 ---> 2/7
12. In PQR if mP is 14 less than five times x, mQ is five less than x, and mR is nine less
than twice x, find x and the measure of each angle.
Answer:
Step-by-step explanation:
mP=5x-14
mQ=x-5
mR=2x-9
we know that all the angles in a triangle= 180
that means (5x-14)+(x-5)+(2x-9)=180
5x-14+x-5+2x-9=180 we add the variables and the numbers
8x=180+28
8x=108
x=26
mP=130-14=116
mQ=26-5=21
mR=43
Mrs. Webster wants to divide 6 pints into 1/3 pints servings. How many servings are possible
Answer:
18 servings
Step-by-step explanation:
6*3=18
Which quadratic function is represented by the table? f(x) = 3x2 2x – 5 f(x) = 3x2 – 2x 5 f(x) = 2x2 3x – 5 f(x) = 2x2 – 2x 5
For the values of x, the quadratic function f(x) = 3x² – 2x + 5 is satisfied. Then the correct option is B.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
At x = –2, the f(x) will be
f(x) = 3x² – 2x + 5
f(x) = 3(–2)² – 2(–2) + 5
f(x) = 12 + 4 + 5
f(x) = 21
At x = –1, the f(x) will be
f(x) = 3x² – 2x + 5
f(x) = 3(–1)² – 2(–1) + 5
f(x) = 3 + 2 + 5
f(x) = 10
At x = 0, the f(x) will be
f(x) = 3x² – 2x + 5
f(x) = 3(0)² – 2(0) + 5
f(x) = 0 + 0 + 5
f(x) = 5
At x = 1, the f(x) will be
f(x) = 3x² – 2x + 5
f(x) = 3(1)² – 2(1) + 5
f(x) = 3 – 2 + 5
f(x) = 6
At x = 2, the f(x) will be
f(x) = 3x² – 2x + 5
f(x) = 3(2)² – 2(2) + 5
f(x) = 12 – 4 + 5
f(x) = 13
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
Rae earns an hourly wage and occasionally receives a bonus that is paid on the first day of the month. This month, Rae’s total pay was $871.50 after working 83 hours and $1,218.00 after working 116 hours.
Answer:total amount of money that he should pay if he has not used his duty free exemption is $98
Step-by-step explanation:I did this before
A graph has hours studied on the x-axis and test scores on the y-axis. Points are at (1, 3), (2, 6), (3, 5), (3, 8), (4, 5), (5, 8), (8, 9).
What statements describe this graph? Check all that apply.
The points are scattered.
The points are not connected.
The graph displays a discrete graph.
The graph displays the relationship of test scores to hours studied.
The graph represents the relationship between two sets of data.
All of the above except for the last one
Katie is planning to paint the gate of her house that has a glass panel. Painting the gate costs
$4 per square foot. How much will she have to spend to paint the gate?
Answer:$58.80
Step-by-step explanation:
{[(3 x 4) + (2 x 3)/2] - (0.4 x 0.75)} x $4 = $58.80
Consider the two functions. Which statement is true?
A)
Function 1 has the greater x-intercept by
HIN
unit
u
Function 2 has the greater x-intercept by ž unit
B)
Function 1 has the greater x-intercept by
MIN
units
D)
Function 2 has the greater x-intercept by
NON
units
о
Answer:
I'm not for sure but I think it's a
Square B is a dilation of square A. What is the scale factor?
What is the first thing you should place on a double number line diagram?
Answer:
the lines
Step-by-step explanation:
first you have to draw the lines on a double number line diagram
A space or solid figure made up of polygonal regions.
Answer:
A solid made up of polygonal regions is called polyhedron.
I hope it will help you...
[tex]darkprincess[/tex]
Which statements about f(x) = −(x − 7)2 + 4 are true?
Answer:
A, D, and F
Step-by-step explanation:
A. True, because represents a quadratic function (the greatest power of x is 2)
B. False, because this function is quadratic, so cannot be linear
C. False. The vertex of the parabola is at point (-7,4) (see diagram)
D. True. The axes of symmetry is the line x=-7 that passes through the vertex.
E. False. The y-intercept is at point x=0 and
F. True. The graph has the maximum at the vertex, where
G. False. The graph of the parabola intersects the x-axis at two points (-9,0) and (-5,0), so x=-9 and x=-5 are two real solutions of the equation f(x)=0.
Jennifer bought a $1,038. 99 dining room set for her home in Cincinnati. She calculated the sales tax to be exactly $67. 53435.
a. Round the sales tax to the nearest penny.
b. Round the sales tax to the nearest dollar
Answer:
penny would be 67.53
Step-by-step explanation:
and the dollar would be 68
Find the value of x'.
Answer:
divided 75 and 50 then divided 85 and that number
Step-by-step explanation:
Jade and Jason were asked to solve the following multiplication problem using the Distributive Property, 8 x 312. Jade answered 8 x (300 + 10 + 2) = 2,496, and Jason answered (8 x 300) + (8 x 10) + (8 x 2) = 2,496. Which student is correct? Fully explain your thinking
Answer:
jason
Step-by-step explanation:
jade's method is not the distributive property.
5/9x3/4 in simplest form?
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
[tex]\frac{5}{9}[/tex] × [tex]\frac{3}{4}[/tex] = [tex]\frac{15}{36}[/tex]
HCF of 15,36 = 3
[tex]\frac{15}{36}[/tex] ÷ [tex]\frac{3}{3}[/tex] = [tex]\frac{5}{12}[/tex]
Hello I need help on this math question
BRAINLIEST For the fastest correct answer
Answer:
LA: 37.68 in squared
TSA: 94.2 in squared
can someone please help me.
answer is the 3rd one np
What is the approximate volume of the earth? How much larger is Earth than Mars?
Answer:
Step-by-step explanation:
The volume of a sphere is defined to be:
[tex]V=\frac{4}{3} \pi r^3[/tex]
Plug in the values for both planets. The radii of the planets was already given:
[tex]V_e=\frac{4}{3} \pi (6378.1)^3[/tex]
[tex]V_e=1.1*10^1^2kg^3[/tex]
[tex]V_m=\frac{4}{3} \pi (3390.0)^3[/tex]
[tex]V_m=1.6*10^1^1kg^3[/tex]
Earth is this many times larger than Mars:
[tex]\frac{V_e}{V_m} =\frac{1.1*10^1^2}{1.6*10^1^1} =6.9[/tex]
2 3/7 ÷ 2/5 Give your answer in its simplest form.
Answer:
85/14 or 6 1/14
step by step explanation:
2 3/7 = 17/7
17/7 / 2/5 = 85/14
85/14 = 6 1/14
Select the correct answer.
The box plot shows the number of hours the students in Mr. Quentin's class spent doing online research for a science fair project.
What is the shape of this data set?
A. skewed left
В. skewed right
C. symmetrical
D. cannot be determined
here
There is $4,269 in a savings account. If next year the money is two times as much, how much money is in the savings account?
name a shape that is congruent to