For the members of a book group, the probability of randomly selecting a member who likes to read historical fiction is 47%, the

Triangle RST was dilated by a scale factor of One-half. The image, triangle R'S'T', is an isosceles triangle, with each leg meas

andrew11 [14]

Answer:

The length side of the pre-image is 16 units

Step-by-step explanation:

we know that

The length side of the image is equal to the length side of the pre-image multiplied by the scale factor

or

The length side of the pre-image is equal to the length side of the image divided by the scale factor

in this problem we have that

The scale factor is 1/2

The length side of the image is 8 units

therefore

8/(1/2)=16 units

The length side of the pre-image is 16 units

8 0

2 years ago

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Determine the value of $a$. [asy] pair w=(0,4); pair x=(0,0); pair y=(4,0); pair z=y+7/sqrt(2)*(1,1); dot(w); dot(x); dot(y); do

grandymaker [24]

Answer:

a=7

Step-by-step explanation:

The image is rendered and attached below.

Triangle WXY is an Isosceles right triangle, since WX=XY.

First, we determine the length of WY using Pythagoras Theorem.

$WY=\sqrt{4^2+4^2}\\WY=\sqrt{32}$

Since triangle WXY is Isosceles, $\angle XYW=45^\circ$

$\angle XYZ=\angle XYW+\angle WYZ\\135^\circ=45^\circ+\angle WYZ\\\angle WYZ=135^\circ-45^\circ=90^\circ$

Therefore:

Triangle WYZ is a right triangle with WZ as the hypothenuse.

Applying Pythagoras Theorem

$WZ^2=WY^2+YZ^2\\9^2=(\sqrt{32})^2+a^2\\a^2=81-32\\a^2=49\\a^2=7^2\\$Therefore: a=7$

3 0

2 years ago

Guillermo is a professional deep water free diver. His altitude (in meters relative to sea level), xxx seconds after diving, is

fgiga [73]

Answer: 140

Step-by-step explanation:

7 0

2 years ago

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Amy scheduled herself from 8am-1pm sunday through wednesday on wednesday she needed to release her intervals from 11am-1pm at th

OleMash [197]

Answer:

Commitment Adherence Percentage = 81. $\overline{81}$ %

Step-by-step explanation:

The time period Amy scheduled herself, t = 8 a.m. - 1 p.m. from Sunday through Wednesday

The period she released her interval = 11 a. m. - 1 p.m.

Commitment Adherence Percentage = Service Minutes/(Posted Minutes + Released Lockdown Minutes) × 100

Posted minutes = 5 hours/day × 60 minutes × 4 days = 1200 minutes

Serviced minute = 5 hours/day × 60 minutes × 3 days + 3 hours × 60 minutes/hour = 1,080 minutes

Released minutes = 2 hours × 60 minutes/hour = 120 minutes

Commitment Adherence Percentage = (1,080/(1,200 + 120)) × 100 = 81. $\overline{81}$ %

5 0

1 year ago

Two-digit natural numbers are formed, with replacement, from the digits 0 through 9.

alexdok [17]

Answer:

The first digit of a two digit number can be any of digits 1 - 9. It cannot be 0 though. Therefore there are 9 possible digits for the first place.

There are 5 possible digits for the second position. The two digit number has to be odd and therefore the final digit must be 1,3,5,7 or 9

Therefore for each and every one of the nine first digits there are 5 digits that the second can be.

Therefore ANSWER = 9 * 5 = 45 possible permutations.

2. The largest two digit number = 99

Subtract 57 and you get 42

ANSWER = 42

The forty two numbers are 58 ,59, 60, 61......98, 99

7 0

2 years ago

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