Answer:
[tex]\sec(x)=\frac{1}{\sqrt{1-m^2}}[/tex]
Step-by-step explanation:
We know that:
[tex]\sin(-x)=-m[/tex]
First, since sine is an odd function, we can move the negative outside:
[tex]=-\sin(x)=-m[/tex]
Divide both sides by -1:
[tex]\sin(x)=m[/tex]
We will now use the Pythagorean Identity:
[tex]\cos^2(x)+\sin^2(x)=1[/tex]
Substitute m for sine:
[tex]\cos^2(x)+m^2=1[/tex]
Solve for cosine:
[tex]\cos^2(x)=1-m^2[/tex]
Take the square root of both sides:
[tex]\cos(x)=\pm\sqrt{1-m^2}[/tex]
Since x is an acute angle, cosine will always be positive. Thus:
[tex]\cos(x)=\sqrt{1-m^2}[/tex]
Take the reciprocal of both sides. Hence:
[tex]\frac{1}{\cos(x)}=\sec(x)=\frac{1}{\sqrt{1-m^2}}[/tex]
what is the fraction 1/4 in a decimal
What is 1.234 x 10-3 in standard form?
Answer: The answer is 123,400.
Step-by-step explanation:
Answer:
123,400
Step-by-step explanation:
its already in standard form.
Solve for w. –3(w + 4) + –10 = 2
Answer:
w = - 8
Step-by-step explanation:
-Simplify both sides of the equation
-Distribute
-Combine like terms
-Add 22 to both sides
-Divide both sides by -3
Evaluate the function f\left(x\right)=5x+2\mid11-5x\mid-4f(x)=5x+2∣11−5x∣−4 for x = -5.
Answer:
[tex]f\left(5\right) = 43[/tex]
Step-by-step explanation:
Given
[tex]f\left(x\right)=5x+2\mid11-5x\mid-4[/tex]
Required
Solve for x = -5
This implies that we substitute -5 for x in [tex]f\left(x\right)=5x+2\mid11-5x\mid-4[/tex]
[tex]f\left(5\right)=5(-5)+2\mid11-5(-5)\mid-4[/tex]
Open all brackets
[tex]f\left(5\right) = -25+2\mid11+25\mid-4[/tex]
[tex]f\left(5\right) = -25+2\mid36\mid-4[/tex]
Absolute value of 36 is 36; Wo, we have:
[tex]f\left(5\right) = -25+2*36-4[/tex]
[tex]f\left(5\right) = -25+72-4[/tex]
[tex]f\left(5\right) = 43[/tex]
5. MAPPING Ben and Kate are making a
map of their neighborhood on a piece of
graph paper. They decide to make one
unit on the graph paper correspond to
100 yards. First, they put their homes
on the map as shown below.
a. How many yards apart are Kate's and Ben's homes?
b. Their friend Jason lives exactly halfway between Ben and Kate. Mark the location of Jason's home on the
map. if my answers are wrong, correct me. i just used a pdf and idk if they’re right. ty ❤️
Answer:
a. 1,000 yards
b. (2, -1)
Step-by-step explanation:
Coordinates of Ben's House = (6, 2)
Coordinates of Kate's House = (-2, -4)
a. Number of yards between Kate and Ben's House using instance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex].
[tex] d = \sqrt{(6 -(-2))^2 + (2 -(-4))^2} [/tex]
[tex] d = \sqrt{(8)^2 + (6)^2} [/tex]
[tex] d = \sqrt{64 + 36} [/tex]
[tex] d = \sqrt{100} [/tex]
[tex] d = 10 units [/tex]
1 unit = 100 yards
Therefore, 10 units = 1,000 yards.
Kate and Ben's House are 1,000 yards apart.
b. Since Jason's home is halfway between Ben and Kate's House, therefore, Jason's location is the midpoint between Ben and Kate's House. Use the midpoint formula to calculate the coordinates of Jason's location on the map, using (6, 2) and (-2, -4).
[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Plug in the values
[tex] M(\frac{6 +(-2)}{2}, \frac{2 +(-4)}{2}) [/tex]
[tex] M(\frac{4}{2}, \frac{-2}{2}) [/tex]
[tex] M(2, -1) [/tex]
Helppp pleaseee = 57(1.05)×
Answer: 0.5985
Step-by-step explanation:
(ILL GIVE BRAINLIEST ON THIS ONE!! PLS HELP BEFORE MY PARENTS KILL MEEE!!!!)
Solve five and two thirds times three fourths
A) three and eleven twelfths
B) four and one twelfth
C) four and three twelfths
D) five and one twelfth
solve x^2+ 17x-12=-84
Answer:
(X+9)(X+8)=0
X=-9,-8
Step-by-step explanation:
x^2+ 17x-12=-84
x^2+17x-12+84=0
x^2+17x+72=0
x^2+(9+8)X+72=0
x^2+9x+8x+72=0
X(X+9)+8(X+9)=0
(X+9)(X+8)=0
X=-9,-8
So the value of the X is -9,-8
A clothing shop ordered 240 t-shirts. 25% of the shirts are Mediums.
How many Mediums did the shop order?
Answer:
60 shirts
Step-by-step explanation:
take 240 and multiply it by .25
Answer:
60 Medium T shirts.
Step-by-step explanation:
25% is 1/4, so either divide 240 by four or divide 240 by 2 to get 120, then divide 120 by two to get 60.
Help me pleaseeeeeee
hal,zeld ,maya, and jason each recorded the height and age of five classmates. they used the data to create the tables shown
One third of the people at a banquet ordered ice cream for desert. The rest ordered pie. One fourth of those requesting pie ordered apple pie. Of 180 people attended the banquet, how many ordered apple pie?
Answer:
30 people ordered the apply pie
Step-by-step explanation:
Given
Total number of people = 180
It is given that one -third of the people order the ice cream
So the people who order ice cream are:
[tex]= \frac{1}{3} * 180\\= 60[/tex]
60 people order ice cream and rest who ordered pie are:
= 180-60 = 120
Now it is given that one-fourth of the people who ordered pie ordered apple pie
So,
[tex]= \frac{1}{4} * 120\\= 30[/tex]
Hence,
30 people ordered the apply pie
Which graph represents the function f(x) = x– 4?
Answer:
i think its c
Step-by-step explanation:
Write an equation of the line that passes through 18,2 and is parallel to the line 3y-x=-12
Answer:
Step-by-step explanation:
3y - x = - 12 ⇔ y = [tex]\frac{1}{3}[/tex] x - 4
y - 2 = [tex]\frac{1}{3}[/tex] ( x - 18 )
y = [tex]\frac{1}{3}[/tex] x - 4
Answer:
y=1/3x-4
Step-by-step explanation:
Refer to the picture that given
HELP ASAP PLEASE :))))
.
.
Answer:
A D E
Step-by-step explanation:
Giving 15 points for this!!!!!!
I need to write a sentence about what I learned but I wasn't paying attention, please help I am so behind on all of my work. The lesson was about Unit Conversions. I just need a sentence about what I learned in the lesson about Unit Conversions, please help. :(
Answer:
A unit conversion is a multi-step process that involves multiplication or division by a numerical factor, selection of the correct number of significant digits, and rounding.
For 6 days Bella drank 2/3 cups of orange juice
How much orange juice did she drink
HELP WILL GIVE BRAINLYIST
Answer:
She has drunk 66.67% of cups of juice in 6 days.
Step-by-step explanation:
Bella drank 2/3 cups of orange juice in 6 days.
It means that if there are 'x' number of cups, then she has drunk [tex]\frac{2}{3}x[/tex] of orange juice.
In other words, she has drunk 66.67% of cups.
For example, if the total number of cups = x = 9
Then she has drunk:
2/3 × 9 = 6 cups in 6 days.
Therefore, we conclude that for 6 days, she has drunk [tex]\frac{2}{3}x[/tex] of orange juice if there are 'x' number of cups.
Thus, she has drunk 66.67% of cups of juice in 6 days.
Quickest answer with explanation gets Brainliest! Really need help by today!!
Q: A recipe for salad dressing calls for 3 tablespoons of oil for every 2 tablespoons of vinegar. The line represents the relationship between the amount of oil and the amount of vinegar needed to make salad dressing according to this recipe. The point (1, 1.5) is on the line. Label the x-axis.
Q part 2: Write an equation that represents the proportional relationship between oil (o) and vinegar (v).
Answer:
1. X= vinegar, Y= oil
2. o=1.5v
The equation of a circle is x2 + (y-10)2=16. The radius of the circle is units. The center of the circle is at .
Answers:
Center = (0, 10)
Radius = 4
========================================================
Work Shown:
Rewrite the equation into
(x - 0)^2 + (y - 10)^2 = 4^2
Then note how it is in the form
(x - h)^2 + (y - k)^2 = r^2
We see that the center is (h,k) = (0,10) and the radius is r = 4.
5x + -6 = 7x + 4 what is the value of x??
Answer:
x= -5
Step-by-step explanation:
I WILL GIVE BRANLIEST
Which description best fits the graph
A. Always Decreasing
B. Always Increasing
C. Decreasing, then increasing
D. Increasing, then decreasing
Answer:
Always increasing
Step-by-step explanation:
The slope of the line is always positive
Which is the correct way to write "the square root of 16?" A) 163 B) 162 C) 32 D) 16
32163
Step-by-step explanation:
16×16=163 ok that's why and square root is times
Claire is putting up a fence around her rectangular garden. The length is four less than double the width. The perimeter is 22 feet. Find the dimensions of the garden.
PLZ ANSWER THIS FAST, ITS NOT ABOUT THE POINTS.
Answer:
The dimensions are 6 by 5 feet.
Length = 6 feet.
Width = 5 feet.
Step-by-step explanation:
Let the length = L
Let the width = W
Perimeter of a rectangle = 2L + 2W
Translating the word problem into an algebraic equation, we have;
L = 2W - 4 ........equation 1
22 = 2L + 2W .......equation 2
Substituting the value of "L" into equation 2, we have;
22 = 2(2W - 4) + 2W
22 = 4W - 8 + 2W
22 + 8 = 6W
30 = 6W
W = 30/6
Width, W = 5 feet.
To find the length, L
Substituting the value of "W" into equation 1, we have;
L = 2W - 4
L = 2(5) - 4
L = 10-4
Length, L =6 feet
Therefore, the dimensions of the garden are 6 by 5 feet.
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Answer:
.......................... you do know you could skip math class and do better in your other classes and you will still move to the next grade pls make me as Brainliest
Step-by-step explanation:
I have no idea what to do
Answer:
the answer is 5 or 8
Step-by-step explanation:
Sorry if im wrong have a good day :) :) :)
Answer:
8
Step-by-step explanation:
I think it's 8. When x=0, f(x) is at 1. When x=2, f(x) is at 9 i think ( the picture makes it difficult to confirm that for sure) so the average rate increase should be 8... since 1+ 8=9. Hopefully this is correct...
___% of 300g =60g
what is in *____*
Answer:
it's right answer is 20 percent ✌️
During the winter of 2012-2013, Buffalo, New York received 22 inches of snow in 12 hours. Oswego, New York received 31 inches of snow over a 15-hour period. What was Oswego’s snowfall rate ? Round your answer to the nearest hundredth.
Oswego’s snowfall rate given the inches of snow and the hours of snow is 2.07 inches / hour.
What is Oswego’s snowfall rate ?The rate of snowfall measures how fast snow was falling with respect to time. It is the ratio of the snow and time. The rate can be determined by dividing the total inches of snow by the total time.
Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
Oswego’s snowfall rate = inches of snow fall / time
31 / 15 = 2.07 inches / hour
To learn more about rate, please check: https://brainly.com/question/717978
#SPJ1
Write each percent increase or decrease as a percentage of the initial amount.
This year, there was 25% more snow than last year.
The amount of snow this year is _______ % of the amount of snow last year.
This year, the class had 15% fewer students than it did last year.
The number of students in the class this year is _____ % of the number of students last year.
Answer:
18%
Step-by-step explanation:
What is the measure of angle BAC
Add.
0.125 +0.25 +0.375
Answer:
0.75
Step-by-step explanation:
Just add them and you get your answer
Answer: 0.75
Step-by-step explanation: