Answer:
[tex]x = 68[/tex]
Step-by-step explanation:
Sine are Cosine are Complementary Angles.
We can use this formula
[tex] \sin(x) = \cos(y) [/tex]
when x+y=90.
Add the expressions in the parentents to 90 and solve for x.
[tex]x - 20 + 42 = 90[/tex]
[tex]x + 22 = 90[/tex]
[tex]x = 68[/tex]
The answer is
[tex]x = 68[/tex]
$975, and there is 7 percent sales tax on the purchase.
How much is the sales tax?
Answer:
$68.25
Step-by-step explanation:
To get the sales tax, you must notice that the sales tax is 7% of 975.
That is equal to:
975 × 0.07
0.07 is equal to 7%, or [tex]\frac{7}{100}[/tex].
The answer to the equation is 68.25.
Find the measure of angle A.
54.99
35.1°
50.7°
39.3°
Hi there!
[tex]\large\boxed{35.1^o}}[/tex]
We can once again use right triangle trig:
We are given the hypotenuse and adjacent sides, so cosine must be used:
cosA = A / H
thus:
cosA = 9/11
Use inverse trig to solve:
cos⁻¹(9/11) ≈ 35.1°
What is an
equation of the line that passes through the points (0,6) and (-3,2)?
Answer:
Step-by-step explanation:
y=mx+b is the general equation of a line, where
m= slope = (y2-y1)/(x2-x1)= (6-2)/(0- -3)= 4/3
b= y intercept
for point (0,6)
y=(4/3)x+b will become 6=(4/3)*0 +b, so b=6
the equation of the line that passes trough the given points is
y= (4/3) x +6
Answer:
y = 4/3 x + 6
Step-by-step explanation:
M = -4/-3 = 2/3
y = 4/3 X + B
6 = 4/3(0) + B
B=6
FOR EASY BRAINLIEST ANSWER QUESTION BELOW!
1. Solve each word problem .twice a number added three times the sum of the number and 2 is more than 17. Find the numbers that satisfy condition
Answer:
28
Step-by-step explanation:
define the following key terms relating to a circle, diameter and radius
Answer:
Diameter: the straight distance from one edge of a circle to the other
Radius: the straight distance from one edge of a circle to the center
I hope this helps :)
Answer:
Diameter - a straight line that goes straight through the center of the circle to one point on its outline to another point on it's outline
Radius - a line that starts at the center and goes to anywhere on the circles circumference
The local library lends an average of 68.24 books to readers each day. What is the average number of books lent to readers in a week?
Answer:
Step-by-step explanation:
Set this up as a proportion and solve. The ratios are books:day, so keep in mind that a week is 7 days because your values have to be the same
[tex]\frac{books}{day}:\frac{68.24}{1}=\frac{x}{7}[/tex] and cross multiply to solve for x, the number of books lent out in a week:
x = 68.24(7) so
x = 477.68 books in a week
helppppp and explain pls and thankyouuu
Answer:
third option (7.5, 8)
this option (6, 5, -3)
Step-by-step explanation:
you eliminate one variant by expressing it through the other(s) until you have one equation with one variable.
that you solve, and then you go back to the other elimination expressions to calculate the others.
2x - y = 7
-2x + 3y = 9
since the terms with x are already so similar, we could now simply add both equations and solve that result :
2x + (-2x) -y + 3y = 7+9 = 16
0×x + 2y = 16
2y = 16
y = 8
=>
2x - 8 = 7
2x = 15
x = 7.5
x - 2y - 3z = 5
x + 2y + 3z = 7
x + z = 3
the same trick by adding the first 2 equations
x + x -2y + 2y -3z + 3z = 5 + 7 = 12
2x + 0y + 0z = 12
2x = 12
x = 6
=>
6 + z = 3
z = -3
and then
6 + 2y + 3(-3) = 7
6 + 2y - 9 = 7
2y - 3 = 7
2y = 10
y = 5
convert decimal number system into binary number system:216
Answer:
11011000
Step-by-step explanation:
the binary equivalent of decimal number 216 is 11011000
[tex]\huge\sf\red{Answer}[/tex]
11011000
__________
Hopefully it helps
nth term of an AP is given by an expression 7n-2,find the common difference of this sequence if fisrt term of sequence is 1? a.2 b.-2 c-7 d7
Step-by-step explanation:
there is something wrong with what your write here as problem description.
either there is something missing in the main expression, or in the answer options.
given your nth-term expression 7n-2, none of the 4 answer options can fit.
so, I thought, maybe there was a typo.
the possible interpretations of the expression could be
7n - 2
7(n-2)
[tex] {7}^{n} - 2[/tex]
[tex] {7}^{n - 2} [/tex]
we know that
a1 = 1
a2 = either
a1 + 2 = 3
a1 - 2 = -1
a1 + 7 = 8
a1 - 7 = -6
so, we can eliminate both negative answer options, because they would cause only negative sequence elements, but the main expression (neither of the 4 possibilities) does not allow that.
but also none of the 4 possibilities of the expression delivers any of the 4 values for a2 as described above.
7×2 - 2 = 14 - 2 = 12
7(2-2) = 7×0 = 0
7² - 2 = 49 - 2 = 47
[tex] {7}^{2 - 2} = {7}^{0} = 1[/tex]
similar not for a3.
so, if I consider your answer options right, we have 4 possible arithmetic sequences:
1. 1, 3, 5, 7, 9, 11, 13, 15, ...
2. 1, -1, -3, -5, -7, -9, -11, -13, ...
3. 1, 8, 15, 22, 29, 36, 43, 50, ...
4. 1, -6, -13, -20, -27, -34, -41, ...
the nth term expression is for
a. an = 2n - 1
b. an = 2×(-n) + 3 = 2×(-n + 1) + 1
c. an = 7n - 6
d. an = 7×(-n) + 8 = 7×(-n + 1) + 1
so, please pick the right expression from this list, and then use the answer option with the same letter.
PLESE ANSWE ASAPPPPP
Answer:
Number of terms: 2
Degree: 1
Step-by-step explanation:
✔️A term can either be a coefficient with a variable, a variable, or a constant.
In the polynomial given, 10y + 2, there are two terms:
First term is a coefficient with a variable = 10y
Second term is a constant = 2
The two terms are: 10y and 2
✔️Degree of a polynomial is the highest exponents possessed by any of its term.
10y has an exponent of 1.
The degree of the polynomial therefore will be 1
Anna lives 2.5 miles to the east of her school, and Ben lives 2 miles to the west of the same school.
Anna draws a map with a number line connecting her house to Ben’s house. On the number line, the school is at 0 and her house is at the point +2.5. On the map, Ben’s house is at the point
Answer:
Step-by-step explanation:
3===o===2=======1========0========-1=======x-2
I know this is backwards, but the question makes the choice of which direction is plus. o represents where anna lives.
Ben should be right at -2 where the x is.
he area of a rectangle is 44m , and the length of the rectangle is less than twice the width. Find the dimensions of the rectangle.
Answer:
4m x 11m
Step-by-step explanation:
4 is your width. 11 is your length.
4 x 4=16 > 11
Let ABCD and EFGH be two quadrilaterals such that ABCD ~ EFGH. If AB = 15 cm, EF = 18 cm and the perimeter of ABCD is 40 cm, find the perimeter of EFGH.
Step-by-step explanation:
this photo is correct answer of this question.
A committee that consists of five members are to be chosen from 6 boys and 5 girls. Find the number of different committees that can be formed if the number of boys is more than the number of girls
Answer:
281 different committees can be formed if the number of boys is more than the number of girls.
Step-by-step explanation:
The order in which the people are chosen to the committee is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Number of boys more than the number of girls:
3, 4 or 5 boys.
3 boys:
3 boys from a set of 6.
2 girls from a set of 5. So
[tex]C_{6,3}C_{5,2} = \frac{6!}{3!3!} \times \frac{5!}{2!3!} = 200[/tex]
4 boys:
4 boys from a set of 6.
1 girl from a set of 5. So
[tex]C_{6,4}C_{5,1} = \frac{6!}{4!2!} \times \frac{5!}{1!4!} = 75[/tex]
5 boys:
5 boys from a set of 6. So
[tex]C_{6,5} = \frac{6!}{5!1!} = 6[/tex]
Total:
200 + 75 + 6 = 281
281 different committees can be formed if the number of boys is more than the number of girls.
What is the slope and y-intercept of the following equation:
= − 23 − 1
(show work pls)
Answer:
The slope is -2/3 and the y-intercept is -1.
Step-by-step explanation:
In a linear equation like this, the slope is the coefficient in front of the x after the expression has been completely simplified. In this case, the slope is -2/3.
For the y-intercept, that is simple too; since it is simplified, it is just the number that comes after the x package. So, for this, the y-intercept is -1.
In rectangle ABCD, AC = 48 andBO = 5x + 4. What's the value of x?
8.8
4
8
9
What is the variable expression for 6 less than the difference of 5 and a number? * 3 points 6 - 5 - n 6 - n - 5 (5 - n) -6 6 - (5 - n)
Given:
The given statement is "6 less than the difference of 5 and a number".
To find:
The variable expression for the given statement.
Solution:
Let n be the unknown number or the variable.
We know that minus sign is used to represent the difference between two numbers.
Difference of 5 and a number is [tex](5-n)[/tex].
6 less than the difference of 5 and a number is [tex](5-n)-6[/tex].
The required expression for the given statement is [tex](5-n)-6[/tex].
Therefore, the correct option is C.
I need some help with this one. Please give it a go! Thank you for your time.
Answer:
Step-by-step explanation:
Hello there
I'm also a student so I'm not 100% sure on this one, but I think I know.
Usually when you have functions you just replace the letters for their value:
f = 11x
g = x² - 6x + 3
h = -x + 4
Th exercise is asking for (g * h) (x)
Since there are parenthesis, here's what we have:
[(x² - 6x + 3)(-x + 4)](x)
Use the left side of the equation:
[(x² - 6x + 3)(-x + 4)](x)
And solve it:
-x³ + 6x² -3x + 4x² - 24x + 12
That's equal to
-x³ + 10x² -27x + 12
Multiply all that by that x on the left:
-x^4 + 10x³ -27x² + 12x
No idea if that's right so please tell me
I NEED HELP WITH THIS ONE TOO !!
Answer:
40°
100 + 80 = 180
60 + 80 = 140
140+ 40 = 180
Step-by-step explanation:
Answer:
m<C+m<D=100 degrees m<D=40 degrees
Step-by-step explanation:
HELPP!
The functions f(x) and g(x) are described using the following equation and table:
f(x)=-4(1.09)x
Given:
The function is:
[tex]f(x)=-4(1.09)^x[/tex]
The table of values for the function g(x).
To find:
The equation that best compares the y-intercepts of f(x) and g(x).
Solution:
We have,
[tex]f(x)=-4(1.09)^x[/tex]
Putting [tex]x=0[/tex], we get
[tex]f(x)=-4(1.09)^0[/tex]
[tex]f(x)=-4(1)[/tex]
[tex]f(x)=-4[/tex]
So, the y-intercept of the function f(x) is -4.
From the given table of values, it is clear that the function f(x) passes through the point (0,-4). So, the y-intercept of the function g(x) is -4.
The y-intercept of f(x) is equal to the y-intercept of g(x).
Therefore, the correct option is A.
Answer:
A) The y-intercept of f(x) is equal to the y-intercept of g(x).
In 25 words or fewer, is this solution reasonable? Why or why not?
Step-by-step explanation:
This solution is reasonable because equal slopes are parallel and negative reciprocals are perpendicular. Four right angles make up a rectangle, and this fulfills it
HELP 20 points Congruence by SSS AND SAS NO LINKS
Answer:
where is the question oooo
ABCD is a quadrilateral.
a) Calculate the value of x.
b) When ABCD is drawn to scale, would the lines AD and BC be parallel or not? A You must justify your answer without using a scale drawing.
Answer:
A) 45=x
B) Yes, since both A and B are 90°
6x+90=360
6x=270
x=45
No lines are not parallel
brainlest if correct !!!!!
Answer: C. x > 0
Step-by-step explanation:
It is an empty circle, meaning the value of 0 is not included in the inequality, so it's not ≤ or ≥.The arrow goes to the right, towards values greater than 0, therefore it is > and not <.The answer would be x > 0.
Answer:
C
Step-by-step explanation:
true or false: The function f(x) = 3/x + 7x a polynomial
Answer: False
Step-by-step explanation:
If you graph this using Desmos, you can clearly see that for every x value, there are multiple y values.
A function has only one output(y) for every input(x)
True, The function f(x) = 3/x + 7x is a polynomial.
What is a polynomial?
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
Given:
The function : f(x) = 3/x + 7x
Simplifying,
f(x) = 3/x + 7x
f(x) = (3 + 7x²)/x.
And it is a polynomial with the variable x.
Therefore, it is a polynomial with the variable x.
To learn more about the Polynomials;
brainly.com/question/11536910
#SPJ2
Easy
a) -2,-5.-8.-11,...
Step-by-step explanation:
???????? what is easy??
People pack seeds into foils and store them in a seed vault. Each foil contains 500 seeds. If the vault has 145,000 seeds altogether, how many foils are in the vault?
Step-by-step explanation:
dbdhdhbdbshsjakkakkajnwbsbdbdbdbbdbdbdvdvdvvvddvvdvd
Answer:
290 foils
Step-by-step explanation:
145,000÷500=290
Tap on the picture! Needing help ASAP please♥️
Step-by-step explanation:
everything can be found in the picture
Suzi is 1.7 meters tall. At 2:00 pm, Suzi measures her shadow to be 0.3 meters long. At the same time, a nearby tree casts a shadow that is 2.4 meters long. How tall is the tree?
Answer:
13.6 meter
Step-by-step explanation:
Given that :
Suzi's height, p1 = 1.7 m
Suzi's shadow, p2 = 0.3 m
Tree shadow, t2 = 2.4 m
Tree height, t1 =?
Using the relation :
p1 / p2 = t1 / t2
1.7 / 0.3 = t1 / 2.4
Cross multiply :
1.7 * 2.4 = 0.3 * t1
4.08 = 0.3t1
t1 = 4.08 / 0.3
t1 = 13.6
Height of the tree is 13.6 m
Helppppp and explain thankyouuuu
Answer:
whats the question sir
Step-by-step explanation:
can you show me it like type it for me