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masya89 [10]
2 years ago
13

Can someone help me with these problems and show work please !!

Mathematics
1 answer:
Flauer [41]2 years ago
7 0

Answer:

I have just wrote answers

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When a book of 100 pages is opened, the sum of the facing page numbers can be divided by 5, the quotient is a product of 3 and 7
statuscvo [17]
Sum means the result of addition.
Quotient means the result of division.
Product means the result of multiplication.

The product of 3 and 7 is 21, because:
3 × 7 = 21

Therefore, the quotient is 21.

Let the sum of the facing page numbers = x:
Therefore, x/5 = 21
Rearranging the equation to find x (the sum of the facing page numbers) gives us:
x = 21 × 5
= 105
So the sum of the facing page numbers is 105.

The only two adjacent numbers which add up to 105 are 52 and 53, so the facing page numbers must be 52 and 53.
3 0
3 years ago
Determine the vertex of the function f(x) = 2(x - 5)2 + 8.
Pachacha [2.7K]
Solve for x, which can be done by moving x to the other side.
2(x-5)^2+8

So, x = 5

The y value is the number at the end and we can see that it is positive 8.

y = 8

Write it out as a coordinate pair and you would get (5,8) or answer choice D
8 0
3 years ago
ANSWER ASAP The area of a rectangle depends on its length and width. For the area to remain constant, the length varies inversel
Free_Kalibri [48]
Area of the rectangle is equal to length times width

In function notation, the Area of the rectangle function is a function in variables l (length) and w(width) as follows:

A(l, w)= l*w

for A=475 we have,

l*w=475

l= \frac{475}{w} or w= \frac{475}{l} , each are equivalent, and each represent the inverse variation.


Answer: l= \frac{475}{w} , w= \frac{475}{l} 


4 0
3 years ago
Can someone please help me with this?? Thanks :)
larisa [96]

Answer:

m<2=60

m<1=120

m<3=120

Step-by-step explanation:

Since m<4=60 that transfers to m<2 also because they are equal. To find the other to angles you have to subtract 60 from 180 because m<1 and m<4 create a straight line that equals 180. That then also transfers to m<3.

Thank you have an amazing day.

5 0
2 years ago
If the cosine of an angle is twice the sine of that angle what is the value of the angles tangent?
Alla [95]

let's say that sin(θ) = x, then the cos(θ) which is twice the sine has to be 2x, therefore then

\bf tan(\theta )=\cfrac{sin(\theta )}{cos(\theta )}~~ \begin{cases} sin(\theta )=x\\ cos(\theta )=2x \end{cases}\implies tan(\theta )=\cfrac{x}{2x}\implies tan(\theta )=\cfrac{1}{2}

4 0
3 years ago
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