Answer:
? = 16
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan ? = opp side / adj
tan ? = 13 / 46
Taking the inverse tan of each side
tan ^ -1 ( tan ? ) = tan ^-1 ( 13/46)
? = 15.78075
To the nearest degree
? = 16
If f(x) = -x2 – 1, and
g(x) = x + 5, then
g(f(x)) = [ ? ]x2+[ ]x+[]
Answer:
-x^2 +4
Step-by-step explanation:
f(x) = -x^2 – 1, and
g(x) = x + 5,
g(f(x)) = Plug f(x) in for x in g(x)
=-x^2-1 +5
=-x^2 +4
Answer:
x^²-x+6
Step-by-step explanation:
Just add
PLZZZZ HELPPPP… IF NOT 100% SURE PLZZ DONT ANSWER! BRAINLIEST TO FIRST AND CORRECT ANSWER!
Answer:
7/10
Step-by-step explanation:
½ of a cup of cheddar=½ x 1=½
⅕ of a cup of parmesan=⅕ x 1=⅕
all cheese used=½ + ⅕= 7/10
I don't have time to do this before my class, could someone help? Thanks so much
Answer:
AD=27
Step-by-step explanation:
What is the area of this trapezoid?
Answer:
18 m^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2)h where b1 and b2 are the lengths of the bases and h is the height
A = 1/2 ( 5 + (6+1)) * 3
A = 1/2 ( 5+7)*3
= 1/2 (12)3
= 18
Answer:
B
Step-by-step explanation:
greater base = 6 + 1 = 7 m
Area = [(greater base + minor base) * height] / 2 = [(7+5) * 3]/2 =18 m^2
Akili has two tests next week. The probability that he will pass the first test, science, is 34 . How he does on that test affects how he will do on his math test. If he passes science, then the probability that he will also pass the math test is 45; otherwise, the probability is only 13 that he will pass the math test. If the probability he passes exactly one test can be expressed as mn for two relatively prime positive integers m and n, what is m n
Answer:
Following are solutions to the given question:
Step-by-step explanation:
First-test probability: [tex]\frac{3}{4}[/tex]
A person's chances of passing a second test are reduced if he fails the first test: [tex]\frac{1}{3}[/tex]
However, the chance of failing the first test is 1 in 4. As just a result, the probability of these events is low.
[tex]\to \frac{1}{4}\times \frac{1}{3}=\frac{1}{12}\\\\\to \frac{3}{4} + \frac{1}{12} = \frac{9+1}{12} = \frac{10}{12} = \frac{5}{6}[/tex]
One of the other.
Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic.
Answer:
Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic.
[my response: talk to them in formal language about the topic.]
Step-by-step explanation:
What did they ask on FLVS alegebra 1 honors moduel 7 dba
Answer:
its easy dont worry
Step-by-step explanation:
Which undefined term is used to define an angle?
line
plane
point
ray
Find the diameter of the sphere with the volume of 36 pi cubic units
Answer:
[tex]{ \tt{volume = \frac{4}{3} \pi {r}^{3} }} \\ 36\pi = \frac{4}{3} \pi \times {(2d)}^{3} \\ \frac{36 \times 3}{4} = 8 {d}^{3} \\ 27 = 8 {d}^{3} \\ {d}^{3} = \frac{27}{8} \\ diameter = 1.5 \: units[/tex]
Quadrilateral ABCD will be dilated about the origin by a scale factor of 1/3 and then reflected across the y-axis.
Answer:
See explanation
Step-by-step explanation:
The coordinate of ABCD is not given; So, I will solve using general coordinates (x,y).
First, ABCD is dilated by 1/3.
The rule is:
[tex](x,y) \to \frac{1}{3}(x,y)[/tex]
This gives
[tex](x,y) \to (\frac{x}{3},\frac{y}{3})[/tex]
Next, it is reflected across y-axis.
The rule is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex](\frac{x}{3},\frac{y}{3}) \to (-\frac{x}{3},\frac{y}{3})[/tex]
So, the complete transformation is:
[tex](x,y) \to (\frac{x}{3},\frac{y}{3}) \to (-\frac{x}{3},\frac{y}{3})[/tex]
Assume that:
[tex]A = (1,3)[/tex]
The transformation will be:
[tex]A' = (-\frac{1}{3},\frac{3}{3})[/tex]
[tex]A' = (-\frac{1}{3},1)[/tex]
and this is right or not
Please hurry I will mark you brainliest
It's a hot summer
day and the icecream truck is on it's way. The driver gives you two options:
1) You can have a cone that is doubled in radius but the same height as a regular cone.
OR
2) You can have a cone that is doubled in height but the same radius as a regular cone.
Which would you choose and why?
You can explain it or attach a picture of your work. ( please show it in math form)
Answer:
Option 1: Double the radius
Step-by-step explanation:
The formula for the volume of a cone is:
1/3[tex]\pi[/tex]r^2h
It squares the radius whereas it only multiplies by the height. Let's try both situations.
1. 1/3[tex]\pi[/tex](2)^2(1) --> 4/3
2. 1/3[tex]\pi[/tex](1)^2(2) --> 2/3
Option one is better.
If f(x) = -x2 – 1, and
g(x) = x + 5, then
f(g(x)) = [ ? ]x2+[? ]x+[?]
Answer:
-x^2-10x-26
Step-by-step explanation:
f(x) = -x^2 – 1, and
g(x) = x + 5
f(g(x)) = Plug g(x) in for x in f(x)
= -(x+5)^2 -1
= -(x^2 +10x+25) -1
= -x^2 -10x-25 -1
=-x^2-10x-26
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
If x+2 is a factor of x^3-6x^2-11x+k then k=
Step-by-step explanation:
From the question given above, the following data were obtained:
f(x) = x³ – 6x² – 11x + k
Factor => x + 2
Value of k =?Next, we shall obtained the value of x from x + 2. This can be obtained as follow:
x + 2 = 0
Collect like terms
x = 0 – 2
x = –2Finally, we shall determine the the value of k. This can be obtained as illustrated below:
f(x) = x³ – 6x² – 11x + k
x = –2
Value of k =?f(–2) = 0 since x + 2 is a factor
x³ – 6x² – 11x + k = 0
(–2)³ – (–2)² – 11(–2) + k = 0
–8 – (4) + 22 + K = 0
–8 – 4 + 22 + K = 0
10 + k = 0
Collect like terms
k = 0 – 10
k = –10Therefore, the value of k is –10
Learn more: https://brainly.com/question/13587979
Consider the scenario and use complete sentences to answer the question.
Two players each roll an ordinary number cube. The sum is found of the two numbers showing. If the sum is an even number, player A gets 1 point. If the sum is an odd number, player B gets 1 point. The game ends after 6 rounds.
Is this a fair game? Use the possible results of the game to support your answer.
Answer:
yes both chances are 1/2 = equal
Step-by-step explanation:
Factorize the following by splitting the middle term:-
(a) 3x^2 +11x+30
Answer:
See explanation
Question has been corrected
Step-by-step explanation:
Given:
3x² + 11x + 30
To factorise, multiply the coefficient of x² by 30
= 3 * 30
= 90
Find two numbers that have a product of 90 and a sum of 11
** There are no such two numbers, therefore the question can't be solved using factorization
Correcting the error in the question:
x² + 11x + 30
To factorise, multiply the coefficient of x² by 30
= 1 * 30
= 30
Find two numbers that have a product of 30 and a sum of 11
6 and 5
6 + 5 = 11
6 * 5 = 30
x² + 11x + 30
= x² + 6x + 5x + 30
= x(x + 6) + 5(x + 6)
= (x + 6) (x + 5)
need help with this question plz picture of question added
Answer:
The domain of the function is (-2,&)
Can you answer this math homework? Please!
Evaluate the function.
f(x) = 4x² + 73 – 18
Find f(-9)
Answer:
379
Step-by-step explanation:
4(-9)²+73-18
4(81)+55
324+55
379
simplify (4^3)^5 someone help
Answer:
Exact Form:
235235
Decimal Form:
4.64.6
Mixed Number Form:
4 3/5
Answer:
5649
Step-by-step explanation:
4^3=64
64^5=5649
Find the 20th term of the following sequence.
-6, -4,-2, O,...
Step-by-step explanation:
An=-6+(20-1)×2
=-6+19(2)
=-6+38
=32
Passing through point (4, 9) and perpendicular to the line y= -1/5x -3
Answer:
y = 5x-11
Step-by-step explanation:
The slope intercept form of a line is y =mx+b where m is the slope
y = -1/5 x-3
The slope is -1/5
Lines that are perpendicular have negative reciprocal slopes
-1 /(-1/5)
-1 * -5/1
5
The slope of the line that is perpendicular is 5
y=5x+b
Using the point (4,9)
9 = 5(4)+b
9 = 20+b
9-20 =b
-11
y = 5x-11
please help with this too
Answer:
The area of the sector in circle G formed by segments [tex]\overline{AG}[/tex], and [tex]\overline {GB}[/tex] is approximately 125.66 square units
Step-by-step explanation:
The given parameters are;
The radius of the circle with center G, r = 15
The measure of the given angle, m∠AGB = 64°
The area of a sector is given as follows;
Area of a sector of a circle = (θ/360°) × π × r²
Therefore;
The area of the sector in circle G formed by segments [tex]\overline{AG}[/tex], and [tex]\overline {GB}[/tex] is given as follows;
The area of the sector in circle G = (64°/360°) × π × 15² ≈ 125.66 square units
Write the words that represent s + 21.
Answer:
A number s plus 21
Step-by-step explanation:
s+21
A number s plus 21
25 x square - 4y Square = 36 equation 1
5 x - 2 y=2equation 2
It is hard to find out question cn u pls take a pic and upload so it will more easier to find out the question
Anyone knows the answer?
Answer:
a) yes
b) y = -x
c) yes it goes thru the origin (0,0)
Step-by-step explanation:
a) x**2 + y**2 = 17
(-4)**2 + (-1)**2 = 17
16 + 1 = 17 YES
b) the slope of DE is
(y1 - y2)/(x1 - x2)
(-1 -4)/(-4 -1) = -5/-5 = 1, so a perpendicular segment will have a
slope of - 1/current slope or -1.
The midpoint of DE is
x = (x1 + x2)/2 = (-4 +1)/2 = -3/2
y = (y1 + y2)/2 = (-1 +4)/2 = 3/2 so
y = mx + b
y = -x + b plug in the point (-3/2,3/2)
3/2 = -(-3/2) + b
b = 0 SO y = -x
c) The circle equation dictates that it has no offset so centers around the origin (0,0) and the equation of the bisector y = -x indeed fits (0,0).
Which equation can be used to find the number of students needed to make 1,500 in profit ?
Answer:
we can use simple equation
simplify
(−5abc − 6ac + 7cb) − (10abc + 6ac − 8bc)
Answer:
-15abc - 12ac + 15bc
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
(-5abc - 6ac + 7cb) - (10abc + 6ac - 8bc)
Step 2: Simplify
[Distributive Property] Distribute negative: -5abc - 6ac + 7cb - 10abc - 6ac + 8bcCombine like terms: -15abc - 12ac + 15bcPoint A is located at (2, 6), and point M is located at (−1, 8). If point M is the midpoint of segment AB, find the location of point B.
(5, 4)
(0.5, 7)
(0, 6)
(−4, 10)
Answer:
(−4, 10)
Step-by-step explanation:
B = (x, y)
(2 + x) ÷ 2 = -1
therefore x is -4
(6 + y) ÷ 2 = 8
therefore y is 10
Feel free to message me if you still have questions :)
The coordinate point of point B (x₁, y₁) will be (−4, 10). Then the correct option is D.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
Point A is located at (2, 6), and point M is located at (−1, 8). If point M is the midpoint of segment AB.
Then the coordinate of the point B(x₁, y₁) will be
We know that the mid-point formula
[tex]\rm (x,y) \ \ = \left ( \dfrac{x_2+x_1}{2}, \dfrac{y_2+y_1}{2} \right )\\\\(-1, 8) = \left ( \dfrac{2+x_1}{2}, \dfrac{6+y_1}{2} \right )[/tex]
Then the value of x₁ and y₁ will be
[tex]\rm x_1 = -4\\\\y_1 = 10[/tex]
Then the coordinate point of B (x₁, y₁) is (−4, 10).
More about the coordinate geometry link is given below.
https://brainly.com/question/1601567
A square pyramid has a base with an area of 20 square meters, and its lateral faces have a slant height of x meters. Sydney is constructing a second square pyramid with the same size base, but the lateral faces of her pyramid have a slant height twice as long, 2x. Which statement best describes how the surface area of Sydney’s pyramid compares to the surface area of the original pyramid?
Sydney’s pyramid will have the same surface area because the One-half in the expression for the area of the triangular faces will make up for the slant height being doubled.
Sydney’s pyramid will have the same surface area because the slant height is not used when finding surface area.
Sydney’s pyramid will have a surface area that is exactly double the original pyramid’s because the slant height is used when finding the area of every lateral face.
Sydney’s pyramid will have a surface area that is greater than the original pyramid’s but not double the area because the slant height is not used when finding the area of the base.
1. Consider the pyramid ABCDE in the figure 1 attached:
Each side of the square base equals (units)
Area of 1 lateral side of pyramid ABCDE is
so the total lateral area is (units squared)
and the total surface area is (units squared)
2. Now consider the second figure KLMNP, Sydney's pyramid:
The lateral area is
so the total area of the second pyramid is
So 2 things can be said about the areas:
i) the lateral area of Sydney's pyramid is times larger than the lateral area of the original pyramid.
ii) The total area of Sydney's pyramid is units squared larger than the total area of the original pyramid.
