All categories

2 years ago

On the picture to the right,

Mathematics

2 answers:

nalin [4]2 years ago

8 0

Answer:

AB&AC= sqrt27, m<3=30˚, m<4=30˚

Step-by-step explanation:

6^2-3^2= 27, BA & CA= sqrt27

90˚&60˚&30˚ makes a right triangle

angles 3&4 are less than the non-labeled angles, so they have to be 30˚

andrezito [222]2 years ago

5 0

Answer:

AB = 5.2

AC = 5.2

m∠3 = 30 degrees

, m∠4 = 30 degrees

Step-by-step explanation:

Triangle ABO and ACO are both 30 60 90 triangles and are equal

Therefore If we have two sides then we can figure out the last side

You might be interested in

after she wrote a check for $240, May bounced had a balance in her checking account of -$6. what was her balance be for she wrot

Mandarinka [93]

The answer is $246 u just add $240+$6

7 0

2 years ago

How many five-card hands (drawn from a standard deck) contain exactly three fives? (A five-card hand is any set of five differen

VashaNatasha [74]

Answer:

4512.

Step-by-step explanation:

We are asked to find the number of five-card hands (drawn from a standard deck) that contain exactly three fives.

The number of ways, in which 3 fives can be picked out of 4 available fives would be 4C3. The number of ways in which 2 non-five cards can be picked out of the 48 available non-five cards would be 48C2.

$4C3=\frac{4!}{3!(4-3)!}=\frac{4*3!}{3!*1}=4$

$48C2=\frac{48!}{2!(48-2)!}=\frac{48*47*46!}{2*1*46!}=24*47=1128$

We can choose exactly three fives from five-card hands in $4C3*48C3$ ways.

$4C3*48C3=4*1128=4512$

Therefore, 4512 five card hands contain exactly three fives.

4 0

3 years ago

Bus A travels according to the function y = 125/5x where y is distance traveled in miles and x is time in hours. Bus B travels a

Yuki888 [10]

Answer:

Bus B travel faster

Step-by-step explanation:

The graph of the question in the attached figure

we know that

the linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

x ---> is the time in hours

y ---> is the distance in miles

In this problem we have

Bus A

$y=\frac{125}{5}x$

The slope of the linear equation represent the speed of the bus

The speed of bus A is

$\frac{125}{5}=25\ miles/hour$

Bus B

Find the slope

take two points from the graph

(0,0) and (3,200)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{200-0}{3-0}$

$m=66.67\ \frac{miles}{hour}$

Compare the slope Bus A with the slope Bus B

$66.67\ \frac{miles}{hour} > 25\ \frac{miles}{hour}$

therefore

Bus B travel faster

6 0

3 years ago

You use a tape measure to measure the dimensions of a canvas, as shown. Estimate the area of the

Kazeer [188]

2000 cm^2

Step-by-step explanation:

we simply round the dimensions of 50.8 cm to 50 cm and 40.6 cm to 40 cm, and we multiply 50*40 cm to get to 2000cm^2 (it is squared because this is area)

8 0

2 years ago

Marty worked 19.5 hours last week. He earns $8.50 per hour. What were Marty’s earnings last week?

lilavasa [31]

Answer:

Step-by-step explanation:

Marty's earnings = 8.50 x 19.5 = 165.75

4 0

2 years ago