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3 years ago

Need some help please

Mathematics

2 answers:

sergey [27]3 years ago

4 0

Answer:

$14

Step-by-step explanation:

There are about 52 weeks in a year, so you do

728/52=14

that means her allowance would be $14 each week

Pie3 years ago

3 0

Answer:

145

Step-by-step explanation:

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Amanda is reading a book that has 125 pages. she has read 12 pages a day for 4 days in a row. how many more pages does amanda ha

FinnZ [79.3K]

Total pages=125
Pages read in 1 day=12
Pages read in 4 days=4×12=48
Left pages to read=125-48=77 pages

7 0

3 years ago

A circle has centre (3,0) and radius 5. The line y = 2x + k intersects the circle in two points. Find the set

lara [203]

A circle with center $(3,0)$ and radius $5$ has equation

$(x-3)^2+y^2=25 \iff x^2 + y^2- 6 x = 16$

If we substitute $y=2x+k$ in this equation, we have

$x^2+(2x+k)^2-6x=16 \iff 5x^2+(4k-6)x+k^2-16=0$

This equation has two solutions (i.e. the line intersects the circle in two points) if and only if the determinant is greater than zero:

$\Delta=b^2-4ac=(4k-6)^2-4\cdot 5\cdot (k^2-16)>0$

The expression simplifies to

$-4 (k^2 + 12 k - 89)>0 \iff k^2 + 12 k - 89$

The solutions to the associated equation are

$k^2 + 12 k - 89=0 \iff k=-6\pm 5\sqrt{5}$

So, the parabola is negative between the two solutions:

$-6-5\sqrt{5}$

8 0

3 years ago

The tile backslash will be a mixture of colors of five-inch square tiles. One quarter of the tiles will be "Indian Red" one sixt

Vladimir79 [104]

Answer:

The fraction of tiles that will be the color of "sand" is 23/60

Step-by-step explanation:

we know that

The sum of the fractions of the tiles must be equal to 1

Let

x ----> the fraction of tiles that will be the color of "sand"

we have that

$\frac{1}{4}+\frac{1}{6}+\frac{1}{5}+x=1$

solve for x

Find the Least Common Multiple of denominators

$LCM=(2^2)((3)(5)=60$

Multiply both sides by 60

$\frac{60}{4}+\frac{60}{6}+\frac{60}{5}+60x=60$

simplify

$15+10+12+60x=60$

$60x=60-37\\60x=23\\x=\frac{23}{60}$

therefore

The fraction of tiles that will be the color of "sand" is 23/60

5 0

3 years ago

The diagram shows the universal set U = {parallelograms}. Set A represents parallelograms with four congruent angles .

tino4ka555 [31]

26 is the number of the parallelograms that fall into the category A U B. In this universal set, you must likely to find 26 parallelograms that fall into the category A U B. With 4 congruent sides and four congruent angles in set A and B we can see 26 parallelograms that fall into the category A U B.

3 0

3 years ago

Read 2 more answers

Check all that apply. If csc=13/12 then:

-Dominant- [34]

Answer:

A. sec =12/13×

B. COS =12/13×

C. tan =12/5✓

D. sin =12/13 ✓

Step-by-step explanation:

we know,

using Pythagoras formula,

p=12,h=13 ,b=?

h^2 =p^2 +b^2

b=5

so tan = p/b

=12/5

sin=p/h and cosec= h/p

D. sin =12/13

7 0

2 years ago