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3 years ago

A prime number p is a divisor of 420 and 540. How many possible values of p are there?

Mathematics

2 answers:

kotykmax [81]3 years ago

7 0

Answer:

3 possible prime divisors that go into 420 and 540:

2,3,5

hope this helps!

Step-by-step explanation:

Andrew [12]3 years ago

3 0

Answer:

3 prime divisors that go into 420 and 540 are-

2,3,5

hope this helps!

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Find the area of the isosceles triangle. please help thanks

fiasKO [112]

Answer:

1080 m^2 Don't submit m^2 in your answer.

Step-by-step explanation:

Givens

The catch is to find h

To do that, use a^2 + b^2 = c^2

a b and c are in the same 1/2 triangle.

a = 48/2 = 24 m

b = h = ?

c = 51 meters

Solution

a^2 + b^2 = 51^2 Substitute for b^2 = h^2

24^2 + h^2 = 51^2 Expand 24^2 and 51^2

576 + h^2 = 2601 Subtract 576 from both sides

h^2 = 2601 - 576

h^2 = 2025 Take the square root of both sides

h = 45

Area

Area = 1/2 b * h

Area = 1/2 48 * 45

Area = 1080

Remark

Notice that to find h you only use 1/2 of 48 because that is the base of the right triangle.

To find the area, you need to use all of 48 because 48 is the full length of the base.

5 0

3 years ago

Jessica has an account with a credit union. Her account earns 2.5% simple interest yearly. Exactly a year and a half ago, she op

elena55 [62]

Answer:

$22.5

Step-by-step explanation:

2.5% = .025

900 divided by 1.5 = 600

600 multiplied by .025 = 15

15 divided by .5 = 7.5

15 + 7.5 = 22.5

4 0

4 years ago

What is an equation of a line,in point-slope from, that passes through (1, -7) and has a slope of -2/3

il63 [147K]

Answer:

y + 7 = - $\frac{2}{3}$ (x - 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

Where m is the slope and (a, b) a point on the line

Here m = - $\frac{2}{3}$ and (a, b) = (1, - 7), thus

y - (- 7) = - $\frac{2}{3}$ (x - 1), that is

y + 7 = - $\frac{2}{3}$ (x - 1) ← in point- slope form

3 0

3 years ago

On the graph shown, what is f(-1)? (5 points) The first segment joints the point negative three comma five exclusively and negat

tatiyna

ANSWER

$f( - 1) = 2$

EXPLANATION

The given function is a piecewise defined function.

$f( - 1)$
is the y-value that corresponds to
$x = - 1.$

To determine that y-value, we need to trace from
$x = - 1$
to where it meets the graph.

We then trace to the y-axis to determine the corresponding y-value as shown in the diagram.

From the graph, we can see that this x-value corresponds to a y-value of
$2$

This implies that, when
$x = - 1,y = 2$

Therefore
$f( - 1) = 2$
See graph.