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Alekssandra [29.7K]

3 years ago

11

A woman is 32 years older than her daughter. The product of their ages is 528. How old was the woman when the daughter was born?

2 answers:

Misha Larkins [42]3 years ago

7 0

The woman was 32 when her daughter was born

Yakvenalex [24]3 years ago

3 0

Answer:

Step-by-step explanation:

Woman's age will be 32 when her daughter was born.

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Somebody please help asap

Elena L [17]

Answer:

B. $4x^2 + \frac{3}{2}x - 7$

Step-by-step explanation:

$f(x) = \frac{x}{2} - 3$

$g(x) = 4x^2 + x - 4$

(f + g)(x) = f(x) - g(x)

= $\frac{x}{2} - 3 + 4x^2 + x - 4$

Add like terms

$= 4x^2 + \frac{x}{2} + x - 3 - 4$

$= 4x^2 + \frac{3x}{2} - 7$

$= 4x^2 + \frac{3}{2}x - 7$

6 0

3 years ago

Find the Surface Area of the Square Pyramid

hoa [83]

Step-by-step explanation:

Step 1: Set up the formula for the surface area of a regular pyramid.

SA = $\frac{p*h}{2} + B$

where :

SA equals the total surface area of the pyramid,
p equals the perimeter of the base,
h equals the slant height of the pyramid
B equals the area of the base.

Step 2: Plug the perimeter of the base into the formula

you can calculate the perimeter by multiplying the length of one edge by the number of edges.

Step 3: plug the value of the slant height into the formula (it is not the perpendicular height)

Step 4: find the area of the base (depend on the shape of the base)

Hope it will find you well.

5 0

3 years ago

How to solve this plss frac{(\sqrt{(3)})^{5}}{((\sqrt{(3)})^{-4})}=(\sqrt{(3)})^{(2k+1)

dusya [7]

Answer:

k = 4

Step-by-step explanation:

Given equation:

$\dfrac{(\sqrt{3})^{5}}{(\sqrt{3})^{-4}}=(\sqrt{3})^{(2k+1)}$

$\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:$

$\implies (\sqrt{3})^{(5-(-4))}=(\sqrt{3})^{(2k+1)}$

$\implies (\sqrt{3})^{9}=(\sqrt{3})^{(2k+1)}$

$\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):$

$\implies (\sqrt{3})^{9}=(\sqrt{3})^{(2k+1)}$

$\implies 9=2k+1$

$\implies 2k=8$

$\implies k=4$

6 0

2 years ago

The area of a triangle is 60 square feet the length of the base is 12 feet find the height of the triangle

DochEvi [55]

Answer:

10 feet.

Step-by-step explanation:

The formula for the area of a triangle is A=1/2bh

where A is the area B is the base and H is the height.

The area is 60 and the base is 12 so the formula will become

60=1/2*12*h

60=6*h

by dividing both ends by 6

10=h

the height of the triangle is 10.

I hope this helps :)

5 0

4 years ago

Read 2 more answers

Mary crocheted a rectangular blanket whose diagonal measures approximately 7.21 feet. What are the most likely length and width

mote1985 [20]

Answer:

If both sides are integers, one side will be 4 feet and the other will be 6 feet. The other solution is the symmetrical solution (4 feet instead of 6 feet, and 6 feet instead of 4 feet).

Step-by-step explanation:

We have a rectangular blanket, that has a diagonal that measures h=7.21 feet.

The two sides of the rectangle a and b can be related to the diagonal h by the Pithagorean theorem:

$a^2+b^2=h^2$

Then, we can express one side in function of the other as:

$a^2+b^2=h^2\\\\a^2=h^2-b^2\\\\a=\sqrt{h^2-b^2}=\sqrt{7.21-b^2}=\sqrt{52-b^2}$

Then, if we define b, we get the value of a that satisfies the equation.

A graph of values of a and b is attached.

If both side a and b are integers, we can see in the graph that are only two solutions: (b=4, a=6) and (a=4, b=6).

8 0

3 years ago