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3 years ago

Express 24 out of 80 as a percent

Mathematics

1 answer:

olga2289 [7]3 years ago

6 0

Answer:

30%

Step-by-step explanation:

24/80 = 0.3

move the decimal over 2 times and you'll get your answer

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a train travels 120 miles in 1 1/2 hours. At this rate how many miles will the train travel in 6 hours

Morgarella [4.7K]

Answer:

480 miles

Step-by-step explanation:

120/1.5=80

80*6=480

6 0

3 years ago

Read 2 more answers

Simplify 7^6 x 7^5 Please help meh

Alecsey [184]

Answer:

134456

Step-by-step explanation:

$7^{6}$ = 7 · 7 · 7 · 7 · 7 · 7

Therefore, $7^{6}$ = 117,649

$7^{5}$ = 7 · 7 · 7 · 7 · 7

Therefore, $7^{5}$ = 16,807

So, $7^{6}$ + $7^{5}$ = 134456

5 0

3 years ago

Read 2 more answers

Find the area of triangle ABC. The figure is not drawn to scale.

balu736 [363]

Sin(63)=x/7
0.89100652418= x/7 > 0.89100652418 (7) = x/7(7)
6.23704566932=x This is the height
the area of a triangle is A=BH/2 or Base * Height /2
A= (6.23704566932)(8)/2
A=24.9481826773 or 24.95 cm^2

6 0

3 years ago

Futhe Mathematics <img src="https://tex.z-dn.net/?f=%28Cos%20%7B%7D%5E%7B4%7Dt%20-Sin%20%7B%7D%5E%7B4%7Dt%20%29%20%20%5Cdiv%2

Nastasia [14]

Answer:

cos2t/cos²t

Step-by-step explanation:

Here the given trigonometric expression to us is ,

$\longrightarrow \dfrac{cos^4t - sin^4t }{cos^2t }$

We can write the numerator as ,

$\longrightarrow \dfrac{ (cos^2t)^2-(sin^2t)^2}{cos^2t }$

Recall the identity ,

$\longrightarrow (a-b)(a+b)=a^2-b^2$

Using this we have ,

$\longrightarrow \dfrac{(cos^2t + sin^2t)(cos^2t-sin^2t)}{cos^2t}$

Again , as we know that ,

$\longrightarrow sin^2\phi + cos^2\phi = 1$

Therefore we can rewrite it as ,

$\longrightarrow \dfrac{1(cos^2t - sin^2t)}{cos^2t}$

Again using the first identity mentioned above ,

$\longrightarrow \underline{\underline{\dfrac{(cost + sint )(cost - sint)}{cos^2t}}}$

Or else we can also write it using ,

$\longrightarrow cos2\phi = cos^2\phi - sin^2\phi$

Therefore ,

$\longrightarrow \underline{\underline{\dfrac{cos2t}{cos^2t}}}$

And we are done !

$\rule{200}{4}$

Additional info :-

Derivation of cos²x - sin²x = cos2x :-

We can rewrite cos 2x as ,

$\longrightarrow cos(x + x )$

As we know that ,

$\longrightarrow cos(y + z )= cosy.cosz - siny.sinz$

So that ,

$\longrightarrow cos(x+x) = cos(x).cos(x) - sin(x)sin(x)$

On simplifying,

$\longrightarrow cos(x+x) = cos^2x - sin^2x$

Hence,

$\longrightarrow\underline{\underline{cos (2x) = cos^2x - sin^2x }}$

$\rule{200}{4}$

7 0

2 years ago

Solve Ax+Hy=K for x Help!

denis23 [38]

Answer:

$x = -\frac{Hy + K}{A}$

Step-by-step explanation:

Step 1: Add -Hy to both sides.

$Ax + Hy - Hy = K - Hy$
$Ax = -Hy + K$

Step 2: Divide both sides by A.

$\frac{Ax}{A} = \frac{-Hy+K}{A}$
$x = -\frac{Hy+K}{A}$

3 0

3 years ago