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2 years ago

Choices; a) 60degree b) 70degree c)80degree d)90degree

Mathematics

1 answer:

storchak [24]2 years ago

7 0

Answer:

∠ PTQ = 70°

Step-by-step explanation:

The angles subtended by the radii and tangents to the circle , sum to 180°

∠ PTQ + 110° = 180° ( subtract 110° from both sides )

∠ PTQ = 70°

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A political polling organization wishes to select a smaller focus group from a group of 7 Republicans, 10 Democrats, and 2 Indep

Alina [70]

Answer:

a) 1470 ways

b) 2835 ways

Step-by-step explanation:

the question is not correct, in the correct question The number of independents should be 3 not 2

there are 7 republicans, 10 democrats and 3 independents.

C(n,r) is the number of different combinations of n distinct objects taken r at a time.

C(n,r) = $\frac{n!}{(n-r)!r!}$

a) it will consist of 1 Republican and 4 Democrats

The number of ways this can be chosen is = C(7,1) × C(10,4) = $\frac{7!}{(7-1)!1!} * \frac{10!}{(10-4)!4!}$ = 7 × 210 = 1470 ways

(b) it will consist of 2 Republicans, 2 Democrats, and 2 Independents (consist of 2 independents not 3)

The number of ways this can be chosen is = C(7,2) × C(10,2) × C(2,2)

= $\frac{7!}{(7-2)!2!} * \frac{10!}{(10-2)!2!}* \frac{3!}{(3-2)!2!}$ = 21 × 45 × 3 = 2835 ways

7 0

3 years ago

What terms apply to angle Dea and angle aeb

harkovskaia [24]

Answer:

What is angle "Dea"

Step-by-step explanation:

And what is "aeb"

8 0

3 years ago

At a party, 75% of the people are adults and 25% are children. What is the simplest ratio of adults to children?

mr_godi [17]

0.3:0.1

Step-by-step explanation:

first convert the % to decimals.

75%=0.75

25%=0.25

then look for a common factor and divide be that, in this case its 5.

0.75/5=0.15

0.25/5=0.5

now since these arent in the simplified form, you gotta divide again by 5.

0.15/5=0.3

0.5/5=0.1

3 0

1 year ago

Chandra has 15 feet of ribbon to make bows for 6 teams how much ribbon can she use for each bow if she cuts the ribbon into equa

SIZIF [17.4K]

Answer:

2.5 feet for each bow

Step-by-step explanation:

15/6= 2.5

6 0

2 years ago

Joelle is working on a school report in a word processor. She wants to place an oversized image which is 30.51 \text{ cm}30.51 c

ehidna [41]

Answer:

the horizontal position for the left edge of the image is -4.46 cm.

Step-by-step explanation:

The horizontal midpoint of the page is:

21.59 / 2 = 10.79 cm

The horizontal midpoint of the image is given as:

30.51 / 2 = 15.25 cm

These midpoints must be on the same point in the axis.

By taking the leftmost edge of the paper to be point zero on the axis, then, the distance accommodated by the paper is 10.795 cm.

The distance that goes beyond this leftmost edge is computed as;

This is on the negative side on the axis.

Thus the horizontal position for the left edge of the image is -4.46 cm.

3 0

2 years ago