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Rashid [163]
3 years ago
7

Joey is building a frame for a sandbox. The sandbox is going be have the shape and dimensions below. If the diagonal of the sand

box measures 14 feet, what kind of quadrilateral will the sandbox be? Explain how you know.

Mathematics
1 answer:
alina1380 [7]3 years ago
7 0

Answer:

Quadrilateral

Step-by-step explanation:

In the sandbox, opposite sides are equal.

However, using Pythagoras Theorem

14^2\neq 12^2+8^2\\196 \neq 208

Therefore, the sandbox cannot be a rectangle since if it were, each triangle must be a right triangle.

In the triangle

  • If c^2=a^2+b^2,  C is a right angle 
  • If c^2, C is an acute angle 
  • If c^2>a^2+b^2 , C is an obtuse angle 

Since 198, Angles C and X are acute angles.

Therefore, the sandbox does not satisfy the properties of any known quadrilateral. It is simply a quadrilateral-shaped sandbox.

You might be interested in
What is the equation of a circle whose center is begin ordered pair negative 4 comma 6 end ordered pair and whose radius is 9 cm
solong [7]

Answer:

(x+4)^2+(y-6)^2=81

Step-by-step explanation:

We want to find equation of a circle with center (-4,6) and radius 9cm.

The equation of a circle with center (h,k) and radius r units is given by;

(x-h)^2+(y-k)^2=r^2

We substitute the radius and the center to obtain;

(x+4)^2+(y-6)^2=9^2

The required equation is:

(x+4)^2+(y-6)^2=81

3 0
3 years ago
Find the digits in the tens place, in the hundredths place, and in the thousandths place for the following number 748.6291
tresset_1 [31]

Answer:

8 for tens, 9 for hundredths and thousandths is 1

Step-by-step explanation:

you can find the number by looking at the place of the numbers if it is tens look at the tens place which is the number eight as tens are 2 digit numbers

5 0
2 years ago
Two percent of all seniors in a class of 50 have scored above 96% on an ext exam, which of the following is the number of senior
dalvyx [7]

Answer:

The number of seniors who scored above 96% is 1.

Step-by-step explanation:

Consider the provided information.

Two percent of all seniors in a class of 50 have scored above 96% on an ext exam.

Now we need to find the number of seniors who scored above 96%

For this we need to find the two percent of 50.

2% of 50 can be calculated as:

\frac{2}{100}\times50

\frac{100}{100}

1

Hence, the number of seniors who scored above 96% is 1.

6 0
3 years ago
Which of the following points lies on the line perpendicular to
sergij07 [2.7K]

Answer:

Step-by-step explanation:

recall that perpendicular lines have slopes that are opposite reciprocals. if u don't know what opposite reciprocals are, according to study.com they are, "The term opposite reciprocals refers to two numbers that have opposite signs and are flipped fractions of each other." for example, 1/2 and -2 are opposite reciprocals.

also recall that the formula to find the slope of a line is m=y2-y1/x2-x1

to solve this problem, we need to go through all of the options and find the slope of that line using the given point and point (0,4). After that, we need to check if that slope is equal to 1. One is the opposite reciprocal of -1, and -1 is the slope of the equation y= -x+4. if the slope is equal to 1, the line will be perpendicular to the line y= -x+4.

lets do the math now:

option a)

m=y2-y1/x2-x1

m=12-4/6-0

m=8/6

m=4/3

this line isnt perpendicular to y= -x +4 cuz the slope is 4/3, which isnt equal to 1

option b)

m=y2-y1/x2-x1

m=0-4/6-0

m=-4/6

m= -2/3

this line isnt perpendicular to y= -x +4 cuz the slope is -2/3, which isnt equal to 1

--------------

ok girl i dont wanna do all the rest of the calculations. just keep doing the same thing with all the other options until you find something that has a slope of 1.

toodles! :)

6 0
3 years ago
What is the greatest common factor of 63 and 63?
ki77a [65]
1 is the answer to your question hope this helps
Answer: 1
7 0
2 years ago
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