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3 years ago

Will Upvote if answered!!

Mathematics

1 answer:

faust18 [17]3 years ago

3 0

The sequence would be:

1 2/3 < 1 5/6 < 2 1/5

Hope this helps!

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Ryan created the two-way table below to describe his scoring in his soccer team’s wins and losses last season. Ryan’s Scoring in

pickupchik [31]

Answer: There is 40% of team's win that Ryan score a goal.

Step-by-step explanation:

Since we have given that

Team Won Team lost

Ryan scored 6 4

Did not score 9 11

(by Ryan)

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

Total 15 15

Percentage of team's win that Ryan score a goal is given by

$\dfrac{6}{15}\times 100\\\\=40\%$

Hence, there is 40% of team's win that Ryan score a goal.

8 0

4 years ago

Read 2 more answers

What is the point slope form of (7,-4) and (-1,3)

BaLLatris [955]

Answer:

y-3 = -7/8(x+1)

Step-by-step explanation:

The slope of a line given two points is given by

m = (y2-y1)/(x2-x1)

= (3 - -4)/(-1 -7)

= (3+4) / (-1-7)

= 7/ -8

= -7/8

The point slope form of a line is

y-y1 = m(x-x1)

y - 3 = -7/8( x - -1)

y-3 = -7/8(x+1)

5 0

3 years ago

Read 2 more answers

Find the exact value of cos(a+b) if cos a=-1/3 and cos b=-1/4 if the terminal side if a lies in quadrant 3 and the terminal side

maria [59]

Answer:

cos(a + b) = $\frac{1}{12}(1-2\sqrt{30})$

Step-by-step explanation:

cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]

cos(a) = $-\frac{1}{3}$

cos(b) = $-\frac{1}{4}$

Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.

sin(a) = $-\sqrt{1-(-\frac{1}{3})^2}$ [Since, sin(a) = $\sqrt{(1-\text{cos}^2a)}$ ]

= $-\sqrt{\frac{8}{9}}$

= $-\frac{2\sqrt{2}}{3}$

Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be negative.

sin(b) = $-\sqrt{1-(-\frac{1}{4})^2}$

= $-\sqrt{\frac{15}{16}}$

= $-\frac{\sqrt{15}}{4}$

By substituting these values in the identity,

cos(a + b) = $(-\frac{1}{3})(-\frac{1}{4})-(-\frac{2\sqrt{2}}{3})(-\frac{\sqrt{15}}{4})$

= $\frac{1}{12}-\frac{\sqrt{120}}{12}$

= $\frac{1}{12}(1-\sqrt{120})$

= $\frac{1}{12}(1-2\sqrt{30})$

Therefore, cos(a + b) = $\frac{1}{12}(1-2\sqrt{30})$

5 0

3 years ago

On the day that Tony was born his grandmother invested $2200 in a certificate of deposit that pays a 3% interest

galben [10]

Answer:

$3530.3541

Step-by-step explanation:

Given that:

Principal = 2200

Interest rate compounded annually (r) = 3%

Time (t) = 16 years

Using the compound interest formula :

A = P(1 + r/n)^n*t

A = final amount

n = number of times interest is applied per period

A = 2200(1 + 0.03)^16

A = 2200(1.03)^16

A = 2200 * 1.60470643909878751793

A = $3530.3541

Hence, amount in account on his 16th birthday will be $3530. 3541

3 0

3 years ago

What’s the largest fraction: 7/8, 5/8, 7/13, and 11/19

garik1379 [7]

Answer:

7/8

Step-by-step explanation:

7/8 = 0.875

5/8 = 0.625

7/13 = 0.538

11/19 = 0.579

So 7/8 is the largest

4 0

3 years ago