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Lapatulllka [165]
3 years ago
9

The shortest side of a right triangle measures 13 m. the lengths of the other two sides are consecutive integers. Find the lengt

hs of the other two sides.

Mathematics
1 answer:
mariarad [96]3 years ago
6 0
So, the shortest side is 13, the other two fellows are two consecutive values.... ok... let's say the other leg is "a", a consecutive value to that will be a+1, so the hypotenuse is "a + 1" then

check the picture below

and surely you'd know what "a" is

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There are 30 children eating ice cream. 2/5 of the children have chocolate. 1/3 of them have vanilla. The rest have strawberry.
defon

Answer:

28/2

Step-by-step explanation:

8 0
2 years ago
A rectangle has length 12 feet and width 8 feet. Every dimension of the rectangle is multiplied by 3/4 to form a similar rectang
kap26 [50]
Let the area of the original rectangle be A₁.

A₁ = (12 ft)(8 feet) = 96 ft²

To determine the area of the reduced triangle, let's compute the new dimensions first.

Length = 12 ft * 3/4 - 9 ft
Width = 8 ft *3/4 = 6 ft

Thus, the area of the new rectangle denoted as A₂ is
A₂ = (9 ft)(6 ft) = 54 ft

The ratio of the areas are:
A₂/A₁ = 54/96 = 9/16
The ratio of the sides are given to be 3/4.
Finally the ratios of the area to side would be:
Ratio = 9/16 ÷ 3/4 = 3/4

Therefore, the ratio of the areas is 3/4 of the ratio of the corresponding sides.
8 0
2 years ago
Patients in a hospital are classified as surgical or medical. A record is kept of the number of times patients require nursing s
GREYUIT [131]

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Given:

N= 177\\\\a=46\\\\b=52\\\\c=36\\\\d=43

\to \chi _{1}^{2}=\frac{N(ad-bc)^{2}}{(a+c)(b+d)(a+b)(c+d)}

         =\frac{177((46\times 43)-(52 \times 36))^{2}}{(98)(79)(82)(95)}\\\\=\frac{177((1978)-(1872))^{2}}{60310180}\\\\=\frac{177(106)^{2}}{60310180}\\\\=\frac{177(11236)}{60310180}\\\\=\frac{1988772}{60310180}\\\\= 0.032976

P-value= CHIDIST(0.032976,1) = 0.86.

thus, the surgical-medical patients and Medicare are dependent.

5 0
2 years ago
Find each measurement indicated. Round your answer to the nearest tenth.
Ksivusya [100]

The measure of the angle B is 30 degree after applying the sin law of triangle.

<h3>What is the triangle?</h3>

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle shown in the picture:

We can apply the sin law of the triangle to find the angle B

\rm \dfrac{28}{sin91} =\dfrac{14}{sinB}

SinB = 0.499

B  = 29.99 ≈ 30 degree

Thus, the measure of the angle B is 30 degree after applying the sin law of triangle.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ1

7 0
1 year ago
Element X is a radioactive isotope such that every 20 years, its mass
faust18 [17]

Answer:

12.1

Step-by-step explanation:

y=a(1/2)^t/h

270=410(1/2)^t/20

Divide both sides by 410

0.6585365854 = (1/2)^t/20

Log Both sides

Log(0.6585365854) / Log(1/2)

.6026645024= t/20

20 x .6026645024 = t

12.05329005 to the nearest tenth is 12.1 = t

3 0
2 years ago
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