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otez555 [7]
3 years ago
13

What is the greatest common factor of 90 and 15

Mathematics
2 answers:
Brilliant_brown [7]3 years ago
8 0
The greatest common factor is the highest number that divides exactly into two or more numbers. 

<span>15: 1, 3, 5, 15 </span>

<span>90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 </span>

<span>The GCF for 15 and 90 is 15.</span>
Leviafan [203]3 years ago
7 0
90: \ 30, \ 6 &#10; \\ 15: \ 5, \ 1&#10; \\ 3 \ x \ 5 \ = \ 15&#10; \\ GCF: \ 15&#10;&#10;
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I need help answering the question in the picture provided
adoni [48]

answer:

(a).

Equation of circle is <u>x²</u><u> </u><u>+</u><u> </u><u>y²</u><u> </u><u>-</u><u> </u><u>2</u><u>5</u><u> </u><u>=</u><u> </u><u>0</u>

(b).

(-5, 0) » yes

(√7, 1) » no

(-3, √21) » no

(0, 7) » no

Step-by-step explanation:

(a).

If centred at origin, centre is (0, 0)

General equation of circle:

{ \boxed{ \bf{ {x}^{2} +  {y}^{2} + 2gx + 2fy   + c = 0}}}

but g and f are 0:

{x}^{2}  +  {y}^{2}   + c = 0 \\ but :  \\ c =  {g}^{2} +  {f}^{2}  -  {r}^{2}  \\ c =  { - 25}

8 0
2 years ago
Find the exact values of the remaining five trigonometric functions of o satisfying the given conditions.
Lyrx [107]

First, tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>), so if cos(<em>θ</em>) = 3/5 > 0 and tan(<em>θ</em>) < 0, then it follows that sin(<em>θ</em>) < 0.

Recall the Pythagorean identity:

sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1

Then

sin(<em>θ</em>) = -√(1 - cos²(<em>θ</em>)) = -4/5

and so

tan(<em>θ</em>) = (-4/5) / (3/5) = -4/3

The remaining trig ratios are just reciprocals of the ones found already:

sec(<em>θ</em>) = 1/cos(<em>θ</em>) = 5/3

csc(<em>θ</em>) = 1/sin(<em>θ</em>) = -5/4

cot(<em>θ</em>) = 1/tan(<em>θ</em>) = -3/4

4 0
2 years ago
A department store sold 51 51 shirts one day. All short-sleeved shirts cost $14.00 $ 14.00 each and all long-sleeved shirts cost
Dmitrij [34]

Answer:

28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.

Step-by-step explanation:

We can solve this question by a system of equations.

I am going to say that:

x is the number of short-sleeved shirts sold.

y is the number of long-sleeved shirts sold.

A department store sold 51 shirts one day.

This means that x + y = 51

All short-sleeved shirts cost $14.00 each and all long-sleeved shirts cost $23.00 each. Total receipts for the day were $921.00.

This means that

14x + 23y = 921

How many of each kind of shirt were sold?

We have to solve the system of equations.

x + y = 51

x = 51 - y

--------------

14x + 23y = 921

14(51 - y) + 23y = 921

714 - 14y + 23y = 921

9y = 207

y = \frac{207}{9}

y = 23

--------

x = 51 - y = 51 - 23 = 28

28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.

7 0
3 years ago
A transformation T: (x, y) (x + 3, y + 1). For the ordered pair (4, 3), enter its preimage point. (-1, 2) (1, 2) (7, 4)
Aleksandr-060686 [28]

Answer:

(1,2)

Step-by-step explanation:

we know that

The rule of the transformation is equal to

(x, y)  ------> (x + 3, y + 1)

Pre-image -----> Image

(x, y)  ------> (4, 3)

so

x+3=4 ----> x=4-3=1

y+1=3 ---> y=3-1=2

therefore

The pre-image is the point (1,2)

6 0
3 years ago
I need to know #25. What is p? Hurry please
pav-90 [236]
I got -3.........................

-7 - 7p = 3p + 23

Move the -7p over to the right....by adding
-7 = 10p +23
Move the 23 over to the left by subtracting
-30 = 10p
divide by 10
p = -3

7 0
2 years ago
Read 2 more answers
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