![michaelmcgee99](/avatars/33431.jpg)
michaelmcgee99
30.09.2019 •
Mathematics
So, i have a bunch of math questions and if someone can answer some or all of them that would be great.
question 1:
a sandwich box is shown with a right triangle side. the right triangle has hypotenuse 12 cm and base 5 cm.
what is the approximate minimum height of a shelf in which this box can fit in the position shown in the picture?
a) 4.1 centimeters
b) 7.0 centimeters
c) 8.5 centimeters
d) 10.9 centimeters
question 2:
which of the following shows the length of the third side, in inches, of the triangle?
one side of the triangle is labeled as 74 inches. the height of the triangle is labeled as 24 inches.
a) √6052 inches
b) 50 inches
c) 70 inches
d) √98 inches
question 3:
a right triangle pqr is shown with the right angle at q. the length of side pq is labeled as 36 cm, and the length of side qr is labeled as 48 cm.
what is the length (in centimeters) of side pr of the triangle?
a) 36 centimeters
b) 42 centimeters
c) 60 centimeters
d) 84 centimeters
question 4:
a right triangle with hypotenuse x and legs 7 and 24. what is the length of the unknown side?
a) 7
b) 24
c) 25
d) 31
question 5:
three squares having side lengths 6 cm, x cm, and 8 cm joining to form a right triangle at the center. what is the value of x?
a) 2 centimeters
b) 6 centimeters
c) 8 centimeters
d) 10 centimeters
question 6:
the length of the hypotenuse of a right triangle is 145 units. the length of one leg of the triangle is 144. mike wrote the following step to find the length of the unknown leg:
length of the unknown leg = 145² − 144² = 21,025 − 20,736 = 289 units
which statement best explains whether mike's step is correct or incorrect?
a) it is incorrect because the length of the unknown side is the square root of 289.
b) it is incorrect because the length of the unknown side is the square root of 41,761.
c) it is correct because the length of the unknown side is the difference of the lengths of the sides.
d) it is correct because the length of the unknown side is the difference of the squares of the sides.
question 7:
a rectangle has a length of 63 m, a width of x m, and a diagonal of 65 m. what is the value of x?
a) 2 meters
b) 16 meters
c) 63 meters
d) 65 meters
question 8:
a cone is shown with width 2 inches and height 3 inches, and a cylinder is shown with width 2 inches and height 7 inches.
how many more cubic inches of juice will cup b hold than cup a when both are completely full? round your answer to the nearest tenth.
a) 18.8 cubic inches
b) 21.9 cubic inches
c) 25.1 cubic inches
d) 32.6 cubic inches
Solved
Show answers
More tips
- G Goods and services How to Choose a Video Camera: Tips from Professionals...
- F Family and Home How to Remove Tar Stains: Tips and Recommendations from Experts...
- H Health and Medicine Novomin: What is it and how to use it?...
- P Philosophy Unbelievable stories of encounters with otherworldly forces...
- L Leisure and Entertainment How to Choose the Perfect Gift for Men on February 23rd?...
- H Health and Medicine How to Treat Whooping Cough in Children?...
- H Health and Medicine Simple Ways to Lower Cholesterol in the Blood: Tips and Tricks...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
Answers on questions: Mathematics
- M Mathematics The tallest escalator on the london underground system is at angel station. it rises to a height of 90 feet over a horizontal distance of 200 feet. let e(x) be the height of...
- M Mathematics It takes 13 more copies of the angle for the last angle to overlap the first horizontal ray. what is the measure of each angle?...
- M Mathematics Place the indicated product in the proper location on the grid. 1. (a + b)(a 2 - ab + b 2) 2. (1 - 7x)(1 + 9x) 3. (x + y + 3)(x + y - 4) 4. (a - b)(a 2 + ab + b 2) 5. (m 3...
- M Mathematics Ascientist is measuring the amount of radioactive material in an unknown substance. when he begins measuring, there are 12.8 grams of radioactive substance. nine days later,...
- M Mathematics According to coldwell banker real estate corporation, a home selling for $189,000 in austin, texas, would sell for $437,850 in denver, colorado. how much would a $350,000 home...
- M Mathematics The following system of equations is y = -x + 2x + 6y = 4...
- M Mathematics Jason has a credit card that charges 2% interest on unpaid balances each month. he spent $300, but only makes the minimum payment of $30 a month when the bill is due. what...
- M Mathematics What is the volume of a right pyramid whose base is a square with a side 6m long and whose altitude is equal to the base side? a. 72 m3 b. 216 m3 c. 36 m3 d. 108 m3...
- M Mathematics What value of x makes the equation true? ?-15 + (-5x) = 0...
- M Mathematics Solve for zzz. Assume the equation has a solution for zzz. -p\cdot(d+z) = -2z+59−p⋅(d+z)=−2z+59minus, p, dot, left parenthesis, d, plus, z, right parenthesis, equals, minus,...
Ответ:
We use the Pythagoras Theorem to determine the height of the shelf.
Let
Then by the Pythagoras Theorem,
We substitute the base,
Therefore the approximate minimum height of the shelf should be
the correct answer is A
ANSWER TO QUESTION 2
We apply the Pythagoras Theorem to find the length of the third side.
See diagram
Let the length of the third side be
Then
We can now solve for y.
The correct answer is C
ANSWER TO QUESTION 3
We use the Pythagoras Theorem to find the length of PR.
Since PR is the hypotenuse .
The correct answer is C
See diagram in attachment.
ANSWER TO QUESTION 4
The unknown length is the variable
So we use the Pythagoras theorem to find the unknown length.
The correct answer is C
ANSWER TO QUESTION 5.
From Pythagoras Theorem, the area of the bigger square is equal to the area of the two smaller squares added together.
See diagram in attachment.
That is
This implies that,
The correct answer is D
ANSWER TO QUESTION 6
Let
Then from the Pythagoras Theorem,
This implies that;
The correct answer is option A.
It is incorrect because the length of the unknown side is
ANSWER TO QUESTION 7
The diagonal is the hypotenuse of the right angle triangle created by the diagonal, the width and the length of the rectangle.
Since the diagonal is the hypotenuse and the two shorter sides are the width and the length of the rectangle, we can apply the Pythagoras Theorem to find the value of
The correct answer is B.
ANSWER TO QUESTION 8
Since the width of the cups is 2 inches, it means the radius is half the width.
That is
The volume of a cylinder is given by;
The cup with the cylindrical shape (B) will hold
The volume of a cone is:
The cup with the conical shape cup(A), will hold
Hence cup B will hold
The correct answer is A
Ответ:
Where is the diagram?
Step-by-step explanation: ?