Answer:
3[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the length of the other leg, then
x² + 3² = 6², that is
x² + 9 = 36 ( subtract 9 from both sides )
x² = 27 ( take the square root of both sides )
x = [tex]\sqrt{27}[/tex] = [tex]\sqrt{9(3)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex] ← exact value
In a group of 30 people, 10 drink milk but not tea 5 drink tea
but not milk and 13 drink neither tea nor milk. find how many people drink both tea and milk.
Answer:
2
Step-by-step explanation:
10 + 13 + 5 = 28 who drink either, or, or neither
30 - 28 = 2
Answer:
2 drink both tea and milk
Step-by-step explanation:
30 people - 13 drink neither = 17 - 10 drink milk but not tea = 7 - 5 drink tea but not milk = 2 drink both tea and milk.
need asap! please help!
Answer:
x = 2
Step-by-step explanation:
7x + 5 = 19
Subtract 5 on both sides
7x = 14
Divide by 7 to isolate x
x = 2
Hope this helps!
Find a numerical value of one trigonometric function of x for cscx = sinx tanx + cosx
Answer:
Step-by-step explanation:
we have
[tex]cscx = sinx tanx + cosx\\\\\frac{1}{sinx}=sinx.\frac{sinx}{cosx} +cosx\\\\\frac{1}{sinx}.sinx.cosx= sinx.\frac{sinx}{cosx}.sinx.cosx+cosx.sinx.cosx\\ cosx= (sinx)^{3} +sinx.(cosx)^{2} \\cosx= sinx[(sinx)^{2}+(cosx)^{2})\\ cosx=sinx.1\\cosx=sinx\\tanx=1\\x=\frac{\pi}{4} +k\pi,k-integer.[/tex]
Answer:
cot x=1
Step-by-step explanation:
got it right
Fine the slope of a line parallel to y=-2/5x+4/5
5/2
2/5
-5/2
-2/5
Answer:
-2/5
Step-by-step explanation:
Parallel lines have the same slope to each other. So if one line has a slope of -2/5, the line parallel to it will also have a slope of -2/5.
Hope this helps!
Answer:
-2/5
Step-by-step explanation:
The slope of the parallel line is going to be the same as the original line.
What is the solution of the inequality shown
below?
y-1 > 0
Answer:
y>1
Step-by-step explanation:
y-1 > 0
Add 1 to each side
y-1 +1> 0+1
y>1
two consecutive integers whose product is 17
Answer:
8 and 9
Step-by-step explanation:
8 comes after 9 and 8 + 9 = 17
35 POINTS HELP ASAP!!!
Answer: 3
Step-by-step explanation:
[tex]3:1[/tex]
[tex]\frac{3}{1}=3[/tex]
Uma camiseta nº 42 custa R$ 1.200,00 e uma camiseta do mesmo tipo nº46 custa R$ 1.800,00. Comprando-se 4 camisetas nº 42 e 6 camisetas nº 46, qual o preço médio de cada camiseta
Step-by-step explanation:
fffggy nu fjxjxjxjcjcjdj
please Answer:
lol
Step-by-step explanation:
Does choosing a blue marble represent the complement event of choosing a red marble? Explain.
Answer:
No, the probability of choosing a red marble is not the complement of choosing a blue marble.
P(red) + P(blue) = 3/5, not 1.
The number of blue and red marbles does not add to the total number of outcomes.
There are other marbles besides red ones and blue ones.
Step-by-step explanation:
i got it right.
Answer:
The complementary event for choosing a red marble is choosing a blue or purple. The total number of marbles is 5. The probability of choosing a red marble is 1/5, and the complement would be 4/5. That is not the same as choosing a blue marble.
The graph of quadratic function k is shown on the grid.
у
Which statements are best supported by the graph of k?
11
10
I. The x-intercept is located at(-3,0).
II. The coordinates of the y-intercept are(0,9).
III. The axis of symmetry 15 X=-3.
F I and II only
G I and III only
HII and III only
J
I, II, and III
Answer:
The answer is I, II, and III.
Step-by-step explanation:
Answer: I , II , III
Step-by-step explanation:
i need help with thisss hurry!
Answer:
December
Step-by-step explanation:
87-38 = 49
Compute the amount of interest earned in the following simple interest problem.
A deposit of $295 at 7% for 270 days
Answer:
$253.33
Step-by-step explanation:
i did the test
Complete the equation of the line whose slope is -2 and y-intercept is (0,-8)
y=
Answer:
y = -2x - 8
Step-by-step explanation:
We want to find the slope-intercept form of this equation. Slope-intercept form is denoted by: y = mx + b, where m is the slope and b is the y-intercept.
We already know that the slope is -2, so that means m = -2.
We also know the y-intercept (or the point where the line crosses the y-axis) is (0, -8), which means b = -8.
Thus, our equation is: y = -2x - 8.
~ an aesthetics lover
y=-2x-8 this should be right i had this same problem before :)
Look at the picture:)
What is the measure of ∠4?
Draw the shape described below and find its total surface area.
A cylinder 25 ft tall with a diameter of 12 f
Answer:
hope this helps :)
Step-by-step explanation:
8:07
Cylinder volume & surface area (video)
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Which are these two, please help
Answer:
4. this would be a positive correlation
5. this has no correlation
Step-by-step explanation:
I hope that was the answer you are looking for
Answer:
The first one has a positive association. You can see that if you were to make a like marking the average rate of change, it would be positive.
For the second one, it would actually be both positive and negative. But Since it does both, it has no correlation.
Step-by-step explanation:
Can Somebody Help Me On This Plzzzz ???????????
Answer:
its D
Step-by-step explanation:
Find u · v.
u = 6i − 5j
v = i − j
Answer:
i am not intelligent boy I am slow in math
Step-by-step explanation:
ok please let me know
Consider the cartesian equation of a circle, y=-2+- sqrt 36-(x-1)^2 , verses the parametric equations of the same circle: x=1+6 cos t y=-2+6sin t
What are the advantages of the parametric equations
Answer:
Step-by-step explanation:
Parametric equations shows the relation between a group of quantities by expressing the coordinates of points of a curve and function as one or more independent variables.
From the question given; the advantages of parametric equations given
x = 1 + 6 cos t
y= -2 + 6 sin t
are :
1) For a given value of the independent variable the parametric equation is used exactly one point on the graph
2) the parametric equations have a finite domain
3) the parametric equation is easier to enter into a calculator for graphic
Answer:
That dude was wrong on one of them!
A, C, E
What is the slope of the line?
________
Answer:
3 over 1
no problemnndjdjd
Which graph represents the function f(x) =1/3 |x|?
Step-by-step explanation:
f(x) = 1/3|x|
then
f(x) = 1/3x , if x ≥ 0
and
f(x) = -1/3x , if x ≤ 0
the slope of f(x) = 1/3x is 1/3
the slope of f(x) = -1/3x is -1/3
this two above conditions apply on to the fourth graph to the right.
Will Mark Brainliest
Parabola: You must include the focus, vertex, lactus rectum, directrix, and the domain from the equation: y=-(x-0)^2 +15
Hyperbola: You must include the equations of the asymptotes and the domain from the equation: (2y^(2))/(b^(2))-(x^(2))/(a^(2))=7
Ellipse: You must include the foci, vertices, and eccentricity from the equation: 4x^(2)-1x+10y^(2)-50y-1=0
Answer:
Hi, i'm not trying to be rude but, you can search it up. there are many videos that explain it.
Step-by-step explanation:
If you need to show multiplication, do not use the letter w. Use the asterisk
(*) symbol instead, or simplify your answer.
Mr. Jones's algebra class has too many students in it. If the class were split
exactly in equal parts to form 3 new classes, each class would have no more
than 14 students in it
Answer:
42 students total, 14*3=42
Step-by-step explanation:
I'm not exactly sure what the question is, but I am assuming that it is , How many students were in the original class?
If you have 14 students in 3 classes, then you need to multiply each class by 14.
14 students × 3 classes = 42 students in the original class
Which is equivalent to after it has been simplified completely? Assume m ≠ 0.
Answer:
It's letter A.
The required simplified solution of the given expression is 5m/14√3m. Option C is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
= √[75m⁹/196m⁴]
= √[25m⁴/196[3m]]
= 5m/14√3m [since 25 = 5² and 196 = 14²]
Thus, the required simplified solution of the given expression is 5m/14√3m. Option C is correct.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ6
Help plz!!!!! I need help
Answer: J and K
Step-by-step explanation:
[tex]\sqrt{20}[/tex] is about [tex]4.472135[/tex]
Answer:
J and K
Step-by-step explanation:
√20=4.47
4.47 is almost in between J and K in the number line.
Hence, it's J and K.
-2x + y = 4
y = x + 2
Third question^ solve the system of equations
Answer:
x=-2 y=0
Step-by-step explanation:
put the second equation in to the first one
-2x+x+2=4
-x=2
x=-2
y=-2+2=0
x=-2 y=0
Estimate 874,238 – 228,759 using front-end estimation
Answer:
645, 500
Step-by-step explanation:
Which is an equation for the parabola that has a vertex (6,-3) and passes through the point (2,-2)
Answer:
c
Step-by-step explanation:
Answer:
The Correct Answer is in fact C : x= -4y^2 -24y -30
Step-by-step explanation:
If you look at the image I attached you can see that C is the only one touching those point
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