what is the value sin(?)= cos 28
Answer: 62
Step-by-step explanation:
Using the fact that cos(90-x)=sin(x) we get that 90-x=28, so x=62 and the answer is simply 62.
Hope that helped,
-sirswagger21
Billy makes $7 a week in allowance plus $6 for each lawn that he mows. This week Billy wants to make over $25. Select the inequality for the number of lawns he needs to mow.
Answer:
Billy would need to mow 4 laws to make over $25.
PLEASE HELP!!!!!!
which equation can be used to find the value of x?
A) x+40+60=360
B) x+40+60=180
C) x=60+40
D) x=60-40
PLEASE LOOK AT THE PICTURE!!!!!!
The measure of exterior angle x in the given triangle is 100 degree. Therefore, option C is the correct answer.
The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
From the given triangle, x=60+40
x=100
Therefore, option C is the correct answer.
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The perimeter of any rectangle in which the length is 4 more than twice the width is P = 6 w + 8 , where w is the width. Which formula can be used to find the width given the perimeter? Multiple choice question. cross out A) w = P − 4 3 cross out B) w = 1 6 P − 8 cross out C) w = − P + 8 6 cross out D) w = P − 8 6
Answer: option D
Step-by-step explanation:
Given equation:
P = 6 w + 8 [eq1]
l=2w+4 [where l is length]
using eq1 we have:
6w=P-8
w=(P-8)/6
hence option D
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Solve the system of equations using substitution.
y = 3x + 4
y = 5x
Answer:
× = 2 i don't know if that's what you were asking for but here's this...
Someone please help me with this qiesrion pls
The true statement on the height of the ball when thrown from a building, given the equation, can be found to be A. The ball reaches the ground in 3 seconds.
How to find the height ?The equation given of the ball being thrown from a building, gives us the height when solved.
The height of the ball when it reaches the ground is 0 feet so we can insert this in the formula to find the time:
0 = - 5 ( t - 3 ) ( t + 5 )
We can use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero. So, we can set each factor equal to zero and solve for t:
t - 3 = 0 or t + 5 = 0
Solving for t in the first equation, we get:
t - 3 = 0
t = 3
Seeing as t is 3 seconds the first option is correct.
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5. Given an arithmetic sequence, Tn, the sum of the third and fourth terms is 167 and T21 = -4. Determine the value of the constant difference and hence find the general term, T- (6)
The arithmetic sequence's fifth term is therefore 84.
How can you determine the value of n in the sum of an arithmetic sequence?An arithmetic sequence's nth term is determined by a = a + (n - 1)d. So, enter the values a = 2 and d = 3 into the formula to determine the nth term.
The formula to determine the nth term of an arithmetic series is a = a1 + (n - 1)d if a1 is the first term and d is the common difference.
In the mathematical sequence, 84 is the fifth term.
The process for calculating value
An arithmetic sequence's nth term can be calculated using the following formula:
Tn = a + (n -1)d
Where;
First term is a.
N words are present.
d is the typical difference
We must substitute nas 5's value in order to find the fifth term.
T5 = 4 + (5-1) 20
T5 = 4 + 4(20) (20)
the bracket be expanded
T5 = 4 + 80
T5 = 84
The arithmetic sequence's fifth term is therefore 84.
The complete question is,
4 is the initial term and 20 is the constant difference in an arithmetic series. Discover the sequence's sixth phrase.
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0=-16r^2-50
algebra question
\(r=\frac{5i\sqrt{2} }{4}, -\frac{5i\sqrt{2} }{4}\) or simply just say ± \(\frac{5i\sqrt{2} }{4}\).
Hope this helps!
Answer:
\(r=\dfrac{5\sqrt{2}}{4}}\:i\:,\quad \;\;r=-\dfrac{5\sqrt{2}}{4}}\:i\)
Step-by-step explanation:
To solve the given equation, rearrange the equation to isolate r.
Given equation:
\(0=-16r^2-50\)
Add 16r² to both sides of the equation:
\(0+16r^2=-16r^2-50+16r^2\)
\(16r^2=-50\)
Divide both sides of the equation by 16:
\(\dfrac{16r^2}{16}=\dfrac{-50}{16}\)
\(r^2=-\dfrac{25}{8}\)
\(\textsf{For\;\:}x^2=f\left(a\right)\textsf{\:the\:solutions\:are\:\:}x=\pm\sqrt{f\left(a\right)}\)
\(r=\pm\sqrt{-\dfrac{25}{8}}\)
\(\textsf{Apply\;the\:radical\:rule:}\;\:\sqrt{-a}=\sqrt{a}\sqrt{-1}\)
\(r=\pm\sqrt{\dfrac{25}{8}}\sqrt{ -1}\)
\(\textsf{Apply\;the\:imaginary\:number\:rule:}\;\:\sqrt{-1}=i\)
\(r=\pm\sqrt{\dfrac{25}{8}}\:i\)
\(\textsf{Apply\;the\:radical\:rule:}\:\:\sqrt{\dfrac{a}{b}}=\dfrac{\sqrt{a}}{\sqrt{b}},\:\quad \:a\ge 0,\:b\ge 0\)
\(r=\pm\dfrac{\sqrt{25}}{\sqrt{8}}\:i\)
Simplify the numerator and denominator of the fraction:
\(r=\pm\dfrac{5}{2\sqrt{2}}\:i\)
Rationalise the denominator by multiply the numerator and denominator by √2:
\(r=\pm\dfrac{5\cdot\sqrt{2}}{2\sqrt{2}\cdot \sqrt{2}}\:i\)
\(r=\pm\dfrac{5\sqrt{2}}{4}}\:i\)
Therefore, the solutions to the given equation are:
\(r=\dfrac{5\sqrt{2}}{4}}\:i\:,\quad \;\;r=-\dfrac{5\sqrt{2}}{4}}\:i\)
Which of the following z-scores is NOT outside the middle 68% of the data for a normal distribution?
a.) -0.8
b.) -2.8
c.) 1.8
d.) 3.8
Answer:
Step-by-step explanation:
A, use three_digite rounding arithmetic to compute 13- 6 and determine the absolute,relative ,and percentage errors.
tepeat part (b) using three – digit chopping arithmetic.
3 20 points A farmer builds a trough to fit in a corner. The trough is made from rectangular prisms. Use the diagram to find length A. What is length A? 8 ft 9 ft 3 ft 2 ft. 3 ft. 4 ft. 5 ft. 7 ft A B 2 ft
The length of A is determined as 5 ft.
What is the length of AIf a farmer builds a trough to fit in a corner and the trough is made from rectangular prisms, the length of A is calculated as follows;
From the given image or diagram, the length A and width B is calculated by applying the properties of a cuboid as follows;
Length A = 8 ft - 3 ft
Length A = 5ft
Width B = 8 ft - 4ft
Width B = 4 ft
Thus, the length of A is determined from the properties of a cuboid.
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Write 4,275,000,000 in scientific notation
Answer:
4.275 x 10^9
Step-by-step explanation:
jus do it
Answer:
4.275x10bto the 9th power
Step-by-step explanation:
Give your answer in scientific notation using only WHOLE numbers.
The number of pennies weighing as much s earth is 193 × 10²⁴
What are index forms?Index forms are described as described as those forms that are used to represent numbers that are too large or small in more proper ways.
Other names for index forms are scientific notation and standard forms.
What is ratio?Ratio is described as the comparison of numbers or variables on the basis of their size.
It shows how many times one number contains another.
From the information given, we have that;
The earth weighs = 5. 972 × 10 ²⁴ kilograms
The penny weighs = 3.1 × 10 ⁻³ kilograms
Divide the values
= 5. 972 × 10 ²⁴/3.1 × 10 ⁻³
= 1.93 × 10 ²⁶
= 193 × 10²⁴
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The table below shows the number of shirts of different colors in a closet:
Color of Shirt Number
Red 1
Blue 6
Green 1
Pink 4
A coin
Dennis selects a shirt from the closet randomly without looking. What is the probability that Dennis will select a pink shirt and the coin will land tails up?
5 over 6
3 over 6
4 over 24
2 over 24
Answer:
i believe its 4 over 24 but not sure
Step-by-step explanation:
Answer:
4 over 24 is the correct answer!
Franks’s annual salary is $80000. About 25% of her salary is deducted for taxes.
How much tax is deducted?
Explain.
Rewrite the expression with a single base and exponent. (3^2*3^3)^3
The expression can be rewritten by given term as; 3^15
We need to simplify the expression below:
(3^2 x 3^3)^3
Remember that we can add these exponents, so we get:
(9 x 9)^3 = 81^3
Then we can rewrite this as:
531441
Takin the product between the exponents we will get:
(3^5)^3
Thus, the solution is 3^15
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help
You invest $1000 in an account that has an annual interest rate of 4%, compounded monthly for 12 years. What is the equivalent interest rate and how many times will the money be compounded?
The equivalent interest rate is 4.07%.
The money will be compounded 12 times.
What is the equivalent interest rate?
The equivalent interest rate is the actual interest rate that an account earns after accounting for number of compounding.
Effective interest rate = (1 + APR / m ) ^m - 1
M = number of compounding
(1 + 0.04/12)^12 - 1 = 4.07%
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if you have the answers send em pls
Step-by-step explanation:
area of rec= length×width
=10×4
= 40
radius= diameter/2
=4/2 = 2
area of semicircle= πr²/2
=22/7×2×2×1/2
=6.28
=6.3
adding both
we get,
=40+6.3
= 46.3
Solve: 2m³-5m² - 7m = 0
Answer:
m = - 1 , m = 0 , m = \(\frac{7}{2}\)
Step-by-step explanation:
2m³ - 5m² - 7m = 0 ← factor out common factor m from each term
m(2m² - 5m - 7) = 0
factorise the quadratic 2m² - 5m - 7
consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term
product = 2 × - 7 = - 14 and sum = - 5
the factors are + 2 and - 7
use these factors to split the m- term
2m² + 2m - 7m - 7 ( factor the first/second and third/fourth terms )
2m(m + 1) - 7(m + 1) ← factor out (m + 1) from each term
(m + 1)(2m - 7)
then
2m³ - 5m² - 7m = 0
m(m + 1)(2m - 7) = 0 ← in factored form
equate each factor to zero and solve for m
m = 0
m + 1 = 0 ( subtract 1 from both sides )
m = - 1
2m - 7 = 0 ( add 7 to both sides )
2m = 7 ( divide both sides by 2 )
m = \(\frac{7}{2}\)
solutions are m = - 1 , m = 0 , m = \(\frac{7}{2}\)
What is the measure of t? *
So
10
to
25°
The calculated measure of t from the given equation is 15 degrees
Calculating the measure of t?From the question, we have the following parameters that can be used in our computation:
10
to
25°
When expressed properly, we have
10° + t° = 25°
Evaluate the like terms
So, we have
t° = 15°
Hence, the value of t° is 25°
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What would 4 divided 4/5 be and please explain step by step or show your work on a piece of paper to get marked =]
Answer:
5
Step-by-step explanation:
4/1 ÷ 4/5 = 4/1 x 5/4 = 20/4 = 5
Triangle ABC with vertices at A(3, 2), B(2, -1), C(-2, 1) is dilated using a scale factor of 3.5 to create triangle A'B'C'. Determine the vertex of point C O c'(-7, 1) Oc(-7,3.5) Oc(-2, 3.5) Oc(7.-3.5)
The calculated vertex of the point C is (b) (-7, 3.5)
Determining the vertex of point CFrom the question, we have the following parameters that can be used in our computation:
ABC with vertices at A(3, 2), B(2, -1), C(-2, 1)
The scale factor is 3.5
The vertex of point C is calculated as
C' = C * Scale factor
Substitute the known values in the above equation, so, we have the following representation
C = (-2, 1) * 3.5
Evaluate
C = (-7, 3.5)
Hence, the vertex of point C is (b) (-7, 3.5)
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The Coffee Counter charges $7.00 per pound for Kenyan French Roast coffee and $11.00 per pound for Sumatran coffeeHow much of each type should be used to make a 24 pound blend that sells for $9.00 per pound?The Coffee Counter should mix (blank) pounds of Kenyan Roast coffee and (blank) pounds of Sumatran coffee to make 24 pounds of a blend that sells$9.00 per pound?
Given:
The Coffee Counter charges $7.00 per pound for Kenyan French Roast coffee and $11.00 per pound for Sumatran coffee
Let the number of pounds from Kenyan French Roast coffee = x
And the number of pounds from Sumatran coffee = y
He wants to make a 24-pound blend that sells for $9.00 per pound
So, we have the following equations:
\(\begin{gathered} x+y=24\rightarrow(1) \\ 7x+11y=9\cdot24\rightarrow(2) \end{gathered}\)From equation (1):
\(x=24-y\rightarrow(3)\)substitute with (x) from equation (3) into equation (2) then solve for (y)
\(\begin{gathered} 7\cdot(24-y)+11y=9\cdot24 \\ 7\cdot24-7y+11y=9\cdot24 \\ 4y=9\cdot24-7\cdot24 \\ 4y=2\cdot24 \\ y=\frac{2\cdot24}{4}=12 \end{gathered}\)substitute with (y) into equation (3) to find (x)
\(x=24-12=12\)so, the answer will be:
The Coffee Counter should mix (12) pounds of Kenyan Roast coffee and (12) pounds of Sumatran coffee.
A distribution of values is normal with a mean of 1986.1 and a standard deviation of 27.2.
Find the probability that a randomly selected value is greater than 1914.8.
P(X> 1914.8) =
Enter your answer as a number accurate to 4 decimal places. *Note: all z-scores must be rounded to
the nearest hundredth.
Answer:
I used the function normCdf(lower bound, upper bound, mean, standard deviation) on the graphing calculator to solve this.
Lower bound = 1914.8Upper bound = 999999Mean = 1986.1Standard deviation = 27.2Input in these values and it will result in:
normCdf(1914.8,9999999,1986.1,27.2) = 0.995621
So the probability that the value is greater than 1914.8 is about 99.5621%
I'm not sure if this is correct 0_o
Canesha and five of her friends went to the movie theater and found that there were only six seats left in the theater. How many different ways can Canesha and her friend sit in these six seats?
A. 120
B. 240
C. 720
D. 840
Answer:
Step-by-step explanation:
tis permutation - 6P6 = 6!/0! = 720/1=720
ans is C
There are total 720 ways that Canesha and her friend sit in these six seats.
what are combinations ?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.
Here, we have,
For the first seat, Canesha and 5 of her friends can all sit in. So there are a possible of 6 different persons.
For the second seat, because one has already sat down, there are a possible of 5 different persons sitting in the second seat.
Continuing on, the total number of different ways Canesha and her friends can sit in those 6 seats are:
= 6*5*4*3*2*1
= 720
Hence, There are total 720 ways that Canesha and her friend sit in these six seats.
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A 1-degree change (increase or decrease) on the Celsius temperature scale is equivalent to a degree change on
5
the Fahrenheit temperature scale. How much does the Fahrenheit temperature increase if the Celsius temperature
increases 6 degrees? How much does the Fahrenheit temperature decrease if the Celsius temperature decreases 26
degrees?
Which statement describes this situation?
O A. The Celsius temperature varies with respect to the Fahrenheit temperature with a rate of change of 9/5° C
per degree F.
B. The Celsius temperature varies with respect to the Fahrenheit temperature with a rate of change of 9/5° F
per degree C.
OC. The Fahrenheit temperature varies with respect to the Celsius temperature with a rate of change of 9/5° C
per degree F.
OD. The Fahrenheit temperature varies with respect to the Celsius temperature with a rate of change of 9/5° F
per degree C.
The diagram shows EFG. Which term describes point H?
A. Circumcenter
B. Incenter
C. Orthocenter
D. Centroid
Point H is the ortho-center of our given triangle and option c is the correct choice.
We have been given an image of a triangle. We are asked to find the term that describes point H.
We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.
We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.
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Find cos 0.
53
45
28
How do you find
the rate of change of a function?
Answer:
xfghzfgfrxeshixeah
Step-by-step explanation:
LG's SSL looks sl lid
Let f(x)=8x+2 and g(x)=4x2+2x.
Then
(fg)(x)=?
The value of the function fg(x) will be 32x³ + 24x² + 4x.
What is a function?The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.
Given functions are f(x)=8x+2 and g(x)=4x²+2x. The value of the function fg(x) will be calculated as,
fg(x) = f(x) x g(x)
fg(x) = ( 8x+2 ) x ( 4x²+2x )
fg(x) = ( 32x³ + 16x² + 8x² +4x )
fg(x) = 32x³ + 24x² + 4x.
Therefore, the value of the function fg(x) will be 32x³ + 24x² + 4x.
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I need to find the width of the rectangle