All categories

1 year ago

Please help me, I don't know how to do this...

Mathematics

1 answer:

Lunna [17]1 year ago

8 0

Answer:

A. 5

Step-by-step explanation:

The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.

(x +1)^2 +x^2 = (√61)^2

x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses

2x^2 +2x = 60 . . . . . . .subtract 1, collect terms

x^2 +x -30 = 0 . . . . . divide by 2, subtract 30

(x +6)(x -5) = 0 . . . . factor the quadratic

x = -6 or +5

The solution is x = 5.

_____

Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.

You might be interested in

At the U.S open tennis championship a statistician keeps track of every serve that a player hits during the tournament. The mean

GarryVolchara [31]

Answer:

Step-by-step explanation:

Both 115 and 145 mph are above the mean. Draw a normal curve and mark these speeds. 115 mph is 1 standard deviation above the mean; 130 would be 2 standard deviations above the mean; and 145 would be 3 s. d. above it.

We need to find the area under the standard normal curve between 115 and 145. This is equivalent to the area under the standard normal curve between z = 1 and z = 3.

I used my TI-83 Plus calculator's DISTR function "normalcdf(" to calculate this area: normalcdf(1, 3) = 0.1573.

The area between z = 1 and z = 3 is 0.1573. In other words, the percentage of serves that were between 115 and 145 mph was 15.73%.

8 0

2 years ago

There are 8 blue candies, 5 pink candies, 1 white candy, and 6 green candies in a candy jar. You reach in, without looking, and

kupik [55]

Answer:

30%

Step-by-step explanation:

Find the total number of candies in the jar.

8 + 5 + 1 + 6 = 20

The probability of choosing a green candy is 6/20 = 3/10 = .3 = 30%

5 0

2 years ago

U.S postal service regulations state that a package can be mailed using parcel post rates is it weighs no more that 70 pounds. W

Masteriza [31]

Divide the limit by the weight of one book to find the number of books allowed.

70/12 = 5.833 books

You cannot send a part of a book, so round down. The answer is 5 books.

4 0

2 years ago

Answer plzz i really really really need help

IgorC [24]

Answer:

A,D,E, and F

Step-by-step explanation:

5 0

2 years ago

If tan (theta) =5/4 and cos (theta) < 0 . Find the other trig. functions.

andrew-mc [135]

Tan(theta) = 5/4
sin(theta)/cos (theta)=5/4
cos(theta)=4sin(theta)/5
sin²(theta)+cos²(theta)=1
sin²(theta)+16sin²(iheta)/25=1 /*25
25 sin²(theta)+16 sin²(theta)=25
sin²(theta)=25/41 /√
sin(theta)= $\frac{-5 \sqrt{41} }{41}$
cos(theta)= $\frac{-4 \sqrt{41} }{41}$
cot(theta)= $\frac{4}{5}$
csc(theta)=1/sin(theta)= $\frac{- \sqrt{41} }{5}$
sec(theta)=1/cos(theta)= $\frac{- \sqrt{41} }{4}$

5 0

2 years ago