MATHEMATICS HIGH SCHOOL

To the nearest tenth, what is the length of the hypotenuse of an isosceles right triangle with a leg of 7 3 inches? A) 15.7inches
B) 16.2 inches
C) 17.1 inches
D) 18.5 inches

Answers

Answer 1

Answer:

Answer:

the answer is the option C

$17.1\ in$

Step-by-step explanation:

we know that

An isosceles right triangle has two equal legs

Let

x------> the length side of the hypotenuse

y-----> the length side of the leg

Applying the Pythagoras theorem

$x^(2) =y^(2)+y^(2)$

$x^(2) =2y^(2)$

In this problem we have

$y=7√(3)\ in$

Substitute and solve for x

$x^(2) =2(7√(3))^(2)$

$x=17.1\ in$

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1. The concession stand is selling hot dogs and hamburgers during a game. At halftime, they sold a total of 78 hot dogs and hamburgers and brought in $105.50. how many of each item did they sell if hamburgers sold for $1.50 and hot dogs sold for $1.25?
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You deposit $4000 in an account earning 6% interest compounded continuously. How much money will you have in the account in 15 years?

Answers

Answer:

9586.232772

$4000×1.06( to the power of 15)=9586.232772

How to find the vertex of the,quadratic equation m^2-5m-14=0

Answers

$quadratic\ formula:ax^2+bx+c=0\n\nm^2-5m-14=0\n\na=1;\ b=-5;\ c=-14\n\nthe\ vertex:(p;\ q)\ where\ p=(-b)/(2a)\ and\ q=-(b^2-4ac)/(4a)\n\np=(-(-5))/(2\cdot1)=(5)/(2)=2.5\n\nq=-((-5)^2-4\cdot1\cdot(-14))/(4\cdot1)=-(25+56)/(4)=-(81)/(4)=-20.25\n\nAnswer:The\ vetrex\ is\ (2.5;-20.25)$

A frying pan has a radius of 14 centimeters. What is the circumference of the frying pan

Answers

The formula for the circumference of a circle is:

C=2πr

Since we know the radius is 14cm, we can solve for the circumference...
C=2π(14)
C=28πcm
C=87.96cm

The curcumfrence is 87.92 centimeters. I multiplied 14 by 2 because you multiply the diameter by 3.14. Diameter is radius times 2. Then you would multiply 28 by 3.14 because C = d times 3.14. d is diameter and C is circumference. Hope this helps

The quotient of a number and 3 is decreased by 121. The result is -164.

Answers

quotient of number and 3 decreased by 121 is -164
change them to equations

121 - $(n)/(3)$ = - 164
- $(n)/(3)$ = -285
- n = -855
n = 855

check:
121 - $(855)/(3)$ = -164
121 - 285 = -164
-164 = -164

Steve saw 313 birds during a bird-watching trip to Yellowstone National park. he observes 15 more trumpeter swans than sandhill cranes. he saw twice as many mountain chickadees as ducky grouses. how many birds of each type did steve observe if he saw half as many trumpeter swans as ducky grousesNEED ASAP!

Answers

Answer:

Step-by-step explanation:

328

Match each fraction with its equivalent decimal number.1.2/5
2.7/20
3.3/25
4.7/10

A.0.35
B.0.7
C.0.12
D.0.4

Answers

Changing a fraction to its decimal form can be done by long division method. Dividing the denominator by its numerator will change the fraction into decimal form. Alternatively, you can use a calculator to do that for you. Below are the fractions with their decimal forms listed:

1.) 2/5 = 0.4 (D)
2.) 7/20 = 0.35 (A)
3.) 3/25 = 0.12 (C)
4.) 7/10 = 0.7 (B)

Answer:

Answer:

68 km/hr,3 hrs

Step-by-step explanation:

340/5 km=68 km

204 km/68 km=3 hrs

Step-by-step explanation:

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