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3 years ago

380% of what is 99? (Round to the nearest whole number)

Mathematics

2 answers:

Nimfa-mama [501]3 years ago

7 0

Answer:

Step-by-step explanation:

380% is equal to = $x$ of 99

(remove zero and make 38 into a decimal)

380% will turn into 3.8

$x$ × 3.8 = 99

x = 99/3.8

99 / 3.8 ≈ 26

scoray [572]3 years ago

6 0

Answer:

Step-by-step explanation:

Let the number be x

380% of x is 99
x*3.8 = 99
x = 99/3.8
x = 26 rounded to the nearest whole number

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A - 6 - 6a = 4 find the value of a

DaniilM [7]

Answer:

-2

Step-by-step explanation:

a - 6 - 6a = 4

a-6a=10

-5a=10

a=10/-5

a=-2

8 0

3 years ago

Read 2 more answers

Determine whether f(x) = –5x^2 – 10x + 6 has a maximum or a minimum value. Find that value and explain how you know.

polet [3.4K]

Answer:

The vertex is the point (-1,11). is a maximum

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

$f(x)=a(x-h)^{2}+k$

where

(h,k) is the vertex

a is a coefficient

if a > 0 the parabola open upward and the vertex is a minimum

if a < 0 the parabola open downward and the vertex is a maximum

we have

$f(x)=-5x^{2}-10x+6$

Convert to vertex form

Complete the square

$f(x)-6=-5x^{2}-10x$

Factor the leading coefficient

$f(x)-6=-5(x^{2}+2x)$

$f(x)-6-5=-5(x^{2}+2x+1)$

$f(x)-11=-5(x^{2}+2x+1)$

Rewrite as perfect squares

$f(x)-11=-5(x+1)^{2}$

$f(x)=-5(x+1)^{2}+11$

The vertex is the point (-1,11)

The coefficient a=-5

a < 0 the parabola open downward and the vertex is a maximum

5 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

3 years ago

Luke purchased a motorcycle for $8765. It depreciates about 5.3% each yeah. What is the value of the motorcycle after five years

Charra [1.4K]

After 5 years, the value of this motorcycle is $6675.77

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3 years ago

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In a store a total of 70 hammers and wrenches were sold. Hammers sold for 10.00 and wrenches sold for 5.00. A total of 600 were

zaharov [31]

It will be 50 hammers and 20 wenches
Hope this helps

3 0

3 years ago