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2 years ago

The number 16 is decreased to 7. What is the percentage by which the number was

Mathematics

2 answers:

kogti [31]2 years ago

6 0

Answer:

56.3%

Step-by-step explanation:

56.3%

Sati [7]2 years ago

5 0

Answer: 56.3%
Explanation: 16-7=9
9/16*100%=56.25=56.3(nearest tenth)

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Prove : sin²θ + cos²θ = 1 thankyou ~

Gnom [1K]

Answer:

See below

Step-by-step explanation:

Here we need to prove that ,

$\sf\longrightarrow sin^2\theta + cos^2\theta = 1$

Imagine a right angled triangle with one of its acute angle as $\theta$ .

The side opposite to this angle will be perpendicular .
Also we know that ,

$\sf\longrightarrow sin\theta =\dfrac{p}{h} \\$

$\sf\longrightarrow cos\theta =\dfrac{b}{h}$

And by Pythagoras theorem ,

$\sf\longrightarrow h^2 = p^2+b^2 \dots (i)$

Where the symbols have their usual meaning.

Now , taking LHS ,

$\sf\longrightarrow sin^2\theta +cos^2\theta$

Substituting the respective values,

$\sf\longrightarrow \bigg(\dfrac{p}{h}\bigg)^2+\bigg(\dfrac{b}{h}\bigg)^2\\$

$\sf\longrightarrow \dfrac{p^2}{h^2}+\dfrac{b^2}{h^2}\\$

$\sf\longrightarrow \dfrac{p^2+b^2}{h^2}$

From equation (i) ,

$\sf\longrightarrow\cancel{ \dfrac{h^2}{h^2}}\\$

$\sf\longrightarrow \bf 1 = RHS$

Since LHS = RHS ,

Hence Proved !

I hope this helps.

5 0

2 years ago

At 107°F, a certain insect chirps at a rate of 92 times per minute, and at 113°F, they chirp 116 times per minute. Write an equa

dsp73

Answer:

The equation in slope-intercept form that represents the situation is y=0.25*x + 84 where y represents the temperature in ° F and x the number of chirps per minute.

Step-by-step explanation:

A linear equation can be expressed in the form y=m*x + b. In this equation, x and y are coordinates of a point, m is the slope and b is the y coordinate of the y-intercept. Since this equation describes a line in terms of its slope and its y-intercept, this equation is said to be in its slope-intercept form.

When there are two points of a line (x1, y1) and (x2, y2), the slope is determined by the quotient between the difference of the ordinate of these two points and the difference of the abscissa of the same points. This is:

$m=\frac{y2-y1}{x2-x1}$

Having a point on the line, you can substitute the values of m, x and y in the equation y = mx + b and thus find b.

In this case:

(x1, y1): (92, 107)
(x2, y2): (116, 113)

So:

$m=\frac{113-107}{116-92}$

m= 0.25

substituting the values of m, x1 and y1 in the equation y = mx + b you have:

107= 0.25*92 + b

107 - 0.25*92= b

84=b

The equation in slope-intercept form that represents the situation is y=0.25*x + 84 where y represents the temperature in ° F and x the number of chirps per minute.

3 0

3 years ago

Sasha is making some shelves which are 75.5 cm long. If the wood she is using is 180 cm long, how many pieces will she need to m

anzhelika [568]

Answer:

Step-by-step explanation:

Since the shelves are 75.5cm long, the total length she would be needing is 75.5cm × 6 = 453cm

Now, the length of the wood she is using is 180cm, to get enough length to make the shelves, we would need to divide 453cm by 180cm which gives a value of around 2.51

This is approximately equal to 3 when rounded up to the nearest whole number.

6 0

2 years ago

How to find x and y using the triangle sum theorem

timurjin [86]

Notice that x is part of the two triangles.for the bigger triangle
92+85+x=180
177+x=180
x=3
in the smaller triangle
y+100+x=180
since x=3
y+100+3=180
y=77

7 0

3 years ago

Figure A is a scale image of Figure B. Figure A: 4. Figure B: x. The scale that maps Figure A onto Figure B is 1:4 1/2. Enter th

Blababa [14]

Answer:

Step-by-step explanation:

A : B

1 : 4½

4 : X

1/4.5 = 4/X

X = 4×4.5 = 18

8 0

3 years ago