Mathematics High School


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Answers

Answer 1

[tex]\huge \rm༆ Answer ༄[/tex]

The equivalent expression is ~

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Answer 2

For x such that 0 < x < [tex]\frac{\pi}{2}[/tex], the mathematical expression is:

[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = 1+1=2[/tex]

Given the following data:

[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx}[/tex]

[tex]\frac{\sqrt{1 \;-sin^2x} }{cosx}[/tex]

In Trigonometry, you should take note of the following mathematical expression:

[tex]sin^2x + cos^2x = 1[/tex]

Therefore, we can obtain the following:

[tex]sin^2x = 1 - cos^2x[/tex]   ...equation 1.

[tex]cos^2x = 1 - sin^2x[/tex]    ...equation 2.

Substituting the equations respectively, we have:

[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = \frac{\sqrt{sin^2x} }{sinx} + \frac{\sqrt{cos^2x} }{cosx}\\\\[/tex]

Taking the square roots, we have:

[tex]\frac{sinx}{sinx} + \frac{cosx}{cosx} = 1 +1\\\\1+1=2[/tex]

Therefore, for x such that 0 < x < [tex]\frac{\pi}{2}[/tex], the expression is:

[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = 1+1=2[/tex]

Read more on trigonometry here: https://brainly.com/question/4515552

Related Questions

in what situation are we supposed to use tan inverse

Answers

[tex]\huge\bold\green{ANSWER}[/tex]

The inverse trig ratios, you can find the angle measure, given two sides.

Inverse Tangent: If you know the opposite side and adjacent side of an angle in a right triangle, you can use inverse tangent to find the measure of the angle.

What is the y-intercept of a line through (2, 7) and perpendicular to the graph of y =-3 /2 x +6

Answers

Answer:

5.5

Step-by-step explanation:

The line perpendicular to y =-3 /2 x + 6 is y = 2/3 x + 6. When you find the y-int  from the graph you drew, the y-int is about 5.5

Hope that helps

Need help with this math problem

Answers

Answer:

A)

Step-by-step explanation:

Given expression:

[tex] \boxed{\mathsf{c = 15 + am}}[/tex]

subtracting 15 from both sides, and combining like terms on the RHS

[tex] \implies\mathsf{c - 15 = (15 - 15)+ am}[/tex]

Dividing both sides by a

[tex] \implies\mathsf{ \frac{c - 15}{a} = am \times \frac{1}{a} }[/tex]

a On the RHS gets canceled for being present in both Numerator as well as denominator, and were left with the following equation:

[tex] \implies\mathsf{ \frac{c - 15}{a} = m }[/tex]

someone help me please

Answers

Answer:

54m^2

Step-by-step explanation:

Area for a triangle = 1/2(12*9)

12 x 9 = 108

108/2 = 54

54m^2 have a good day

PLEASE HELP URGENTLY!!

The sum of three numbers is 96 . The second number is 3 times the third. The third number is 9 more than the first. What are the numbers?

Answers

Answer:

12, 63 and 21 sum to 96

.....

42 is the product of 6 and y. Solve for y

Answers

Answer:

y=7

Step-by-step explanation:

42/6=7

Answer:

y =7 iits divided

Step-by-step explanation:

y =6/42

y= 7

1. Bob makes $14 per
hour, plus $50 a day for
working. Write an
expression to represent
how much money Bob
makes in a day.

Answers

Answer:

$14(h) + $50 = t

t = total

h = hours he works

1
6 cm
Diagram NOT
accurately drawn
9cm
Scm
11 cm
2
6 cm
18 cm
The diagram shows a shape.
All of its corners are right angles.
Work out the area of the shape.

Answers

The area of the shape is 110 square centimeters

From the diagram, the shape can be subdivided into rectangles of the following dimensions:

6cm by 11cm5cm by 6cm7cm by 2cm

So, the area of the shape is the sum of the areas of the three rectangles.

This gives

[tex]Area = 6cm \times 11cm + 5cm \times 6cm + 7cm \times 2cm[/tex]

Evaluate the products

[tex]Area = 66cm^2 + 30cm^2 + 14cm^2[/tex]

Add the terms

[tex]Area = 110cm^2[/tex]

Hence, the area of the shape is 110 square centimeters

Read more about areas at:

https://brainly.com/question/8408690

1 point
16.) During the soccer season, Carla scored goals on 7% of the shots she
took. If she scored 14 goals, how many shots did she take? *
20 shots
98 shots
10 shots
200 shots

Answers

She took 7% of the shots so if she scored 14 goals then 14 goals is 7% of her attempts.
7/100 * x = 14
x = 200 shots

What is the answer to -3x + 7y = -16 and -3x + 7y = -16

Answers

Answer:

-16-7y/3

Step-by-step explanation:

-3x+7y=-16

Subtract 7y from both sides

-3x=-16-7y

Divide both sides by -3

x=-16-7y/3

How to solve math equation 45+5

Answers

Answer:

50 is the answer

Step-by-step explanation:

you need to add 45+5 the you will get 50

45 + 5 = 50
(addition)

how to do b. quick!!!

Answers

y=x is the answer, because it splits the 90 degrees down the middle, and the equation for a linear line that is at 45 degrees is y=x because there is no y-intercept and the slope is 1.

Which statement best explains whether the table represents a linear or nonlinear function? (4 points)

Input Output
(x) (y)
0 1
1 2
2 4
3 16

Answers

Answer:

Step-by-step explanation:

Nonlinear, because the slope is not constant - it keeps changing.

Slope between (1,1) and (1,2) is (1/1) or 1

Slope between (2,4) and (16,3) is:

            Rise = (3-4) = -1

            Run = (16-2) = 14

            Slope = 14/-1 or -14

Definitely not linear.  The slope changes dramatically very quickly.  A straight line would disapprove.

2/3 (4x + 3) = 1/4 (3x - 15)

Answers

Answer:

x=-3

Step-by-step explanation:

Answer

X=3

I used math calculator and it gave me x = 3 :)

Calculate the HCF of 8a³-27, 4a²-9 and 4a²-12a+9​

Answers

[tex] \: \: \: \: \: [/tex]

first add

(3a²-5a+5)+(a³-5a²+8)

=3a²-5a+5+a³-5a²+8

=a³-2a3a²-5a²+5+8

=a³-2a²+13

and now,

substract a³-2a²+13 from a²-4a²-9

=7a²-4a²-9-(a³+13)

=7a²-4a²-9-a³+2a²-13

= a³+7a²-4a²+2a²-9-13

=-a³+5a²-22

hope it helps

Write the sentence as an equation.
u more than 178 equals p reduced by 309
Type a slash ( 1 ) if you want to use a division sign.
Submit

Answers

178 + u = p - 309 this is the answer I believe

0.737 ___ 0.708
0.708 > 0.737
0.737 = 0.708
0.737 < 0.708
0.737 > 0.708

Answers

Answer:

0.737>0.708

Step-by-step explanation:

it must me d because 0.737 is greater than 0.708 and it's the only true Statement

What is the slope??
(The bottom one says : (1, 1)

Answers

Slope is the steepness of a line as it moves from LEFT to RIGHT. Slope is the ratio of the rise, the vertical change, to the run, the horizontal change of a line. The slope of a line is always constant (it never changes) no matter what 2 points on the line you choose.
The slope is: -1/3
Ok done. Thank to me :>

What is the equation of the line that passes through the point (-4,-2)(−4,−2) and has a slope of -\frac{1}{2}− 2 1 ​ ?

Answers

Answer:

Question not clear. I cant see the value for slope.

Step-by-step explanation:

what is equivalent to the following expression:
2(- a + 5) – 3 (a + 5b-2)+b (6-a)

Answers

From the information given, it can be inferred that the expansion of the equation will be 5a - 9b + 16 - ab.

= 2(- a + 5) – 3 (a + 5b-2)+b (6-a)

We've to expand the functions and this will be:

= -2a + 10 - 3a - 15b + 6 + 6b - ab

Collect like terms

= - 2a - 3a - 15b + 6b + 10 + 6 - ab

= -5a - 9b + 16 - ab

Therefore, the expression is equivalent to 5a - 9b + 16 - ab.

Learn more about equations on:

https://brainly.com/question/13763238

75% of the sum
of t&a and 7 3 6
-100
a
b

Answers

answer in the photo thank me later mate

Line Segment LM is the midsegment of the isosceles trapezoid ABCD. Find

Answers

Answer:

115

Step-by-step explanation:

They are opposite angles. You can tell because they are on the same line, and one is smaller than the other. So together they equal 180.

180 - 65 = 115

I hope this helps!!

Please help me will name brainliest!!!!

Answers

Answer:

74/17 = 4.35

Step-by-step explanation:

The first triangle is 74 and the second triangle is 17, so you divide 17 by 74 to get 4.35294 which rounds to 4.35

I AM BEGGING YALL TO HELP ME BRAINLYEST

Answers

Answer:

56

Step-by-step explanation:

PEMDAS

4+372-320

376-320

56

Follow PEMDAS
4 + 372 - 320
376 - 320
56

Java 1

Question 15
Another word for "looping" is:

a. encapsulation
b. iteration
c. reiteration
d. generalization
e. inheritance

Answers

Answer:

the anwser is b

Step-by-step explanation:

it is another word for looping

what is the total surface area of 12ft, 4ft and 5ft

Answers

Answer:

The answer is 240

Step-by-step explanation:

So since your trying to find the area of 12ft, 4ft, and 5ft you have to multiply them all. So 12x4= 48x5= 240.

Hope this helps :)

Answer: surface area = 240 ft^3

Step-by-step explanation:

Assuming you are talking about the surface area of a rectangular prism, the surface area equation for rectangular prisms is SA = l x w x h (surface area = length x width x height). You multiply 12 by 4 by 5 to get your answer.

A flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the third side is 19 feet more than the length of the shortest side. Find the dimensions if the perimeter is 167 feet.

Answers

Answer:

Please give Brainliest!

Step-by-step explanation:

The three dimensions are 36ft, 72ft, and 59ft.

A shop has a sale that offers 40% off all prices. On the final day, they reduce all sale prices by 30%. Alex buys a hairdryer on the final day.

Work out the overall percentage reduction on the price of the hairdryer.​

Answers

Answer:

82%

Step-by-step explanation:

They are doing 0.6x with the first sale, then 70% of 0.6x for the second. So, the first sale would be 0.6x, and the second sale would be 0.42x. You subtract them to get 0.18x. So, 0.18x/x=18%. You would pay 18%, and the shop reduced 82%

Jaz is going to the florist to buy foxgloves and orchids. The foxgloves can only be purchased in groups of 11 and the orchids can only be purchased in groups of 5. If Jaz wants to buy the same amount of foxgloves and orchids, then what is the lowest quantity of foxgloves that Jaz can buy?

Answers

Answer:

5

Step-by-step explanation:

5 x 11 = 55

55 / 11 = 5

If Ambrea deposits $4000 in the bank and there is a 3% interest rate, how long will it take her to save $7000

Answers

Answer:

I believe the answer is 25 years

Step-by-step explanation:

3% of 4000 is 120

3000 divided by 120 is 25

Answer:

25 years

Step-by-step explanation:

So you have $4000, with a rate of 3% interest.

You want to see how long it takes to save up to $7000.

Do,

3% of $4000 is $120.

It takes a year to get a interest.

And you need $3000 dollars.

Now do 3000 ÷ 120.

You get 25.

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