Which of the following is the length of the unknown leg of a right triangle that has one leg length of 10 feet and a hypotenuse of 14 feet? (Round to the nearest tenth.)
6 feet
15.6 feet
9.8 feet
20 feet
Correct Answer : C
The sides of a right-angled triangle are determined by the Pythagoras theorem. If we let the unknown side to x as in the figure below, then theory is applied as follows.
The value of x is found as:
The value of the unknown leg side of a triangle is about 9.8 feet.
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Related Questions
Correct Answer is C
Explanation
We required to find the units of finding the weight of a sheet of paper. The SI unit of mass of an object is kilogram. However, kilogram is a large quantity that cannot be used to measure smaller objects.
Thus, derived units of mass are used to find the mass of other objects. In this case, the mass of a sheet paper can be recorded in grams.
Correct Answer is C
Explanation
The sides of a right-angled triangle are determined by the Pythagoras theorem. If we let the unknown side to x as in the figure below, then theory is applied as follows.
The value of x is found as:
The value of the unknown leg side of a triangle is about 9.8 feet.
Correct Answer is A
Explanation
We are tasked to find the unknown values of x in the given equation.
First, we add 8 to both sides of the equation.
Next, we apply the absolute rule:
If , a>0, then u=a or u=-a
From our resulting equation, a=14, which is greater 0. Then, the first condition (u=a) becomes
Solving for x
The second condition (u= -a) becomes
Solving for x
Thus, the value of x is 4 or -3
Correct Answer is D
Explanation
A histogram will be appropriate to represent the time the students wake up every day of the week. The histogram is used to represent the frequency of the variable with another variable. In our case the vertical axis will represent the number of students (frequency) while the time of waking up on the horizontal axis.
Correct Answer is C
Explanation
we set the conversion equation to find the unknown unit. Arrange the equation such that the unwanted units cancel out and the wanted unit remains.
The value 365.76 cm is close to 365 cm. Therefore, 4 yards is approximately 365 cm.
Correct Answer is B
Explanation
we are to use the pie chart to find the number of students enrolled in dental hygiene care.
Letting x represent the number of students enrolled in dental hygiene care, we set the proportion equation with number of students as numerator and percentage as denominator. It should be noted that the whole pie chart represents 100% of the 800 students. Then,
We solve the value of x by cross-products.
Therefore, 144 students will enroll for a dental hygiene program.
Correct Answer is D
Explanation
The slope represents the ratio of rise to run. Let p be the minimum length of the ramp, we can set a ratio equation as follows. Then,
The minimum length of the ramp needed is 18 feet to access to a door that is 1.5 feet above the sidewalk.
Correct Answer is A
Explanation
This problem asks us to compare the number of dimes to nickels.
If we let p be number of pennies in the bottle. Then,
Number of quarters in the bottle = 4p
Number of nickels in the bottle = 2p
Number of dimes in the bottle =7(2p)=14p
To find the number of dimes the child has than nickels, we use the ratio:
\(\frac{Dimes}{nickels} =\frac {14p}{2p}\ =\ 7\)
Thus, there are 7times as many dimes as nickels in the box.
Correct Answer is D
Explanation
we are asked to find the number of gallons a full tank holds. A full tank is treated as 1 whole.
Letting x be the number of gallons in full tank and setting the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.
Convert the mixed fraction into proper fraction and cross-multiply to find the value of x.
x 1 full tank=185 gallons23full tank
A full tank holds 27/5 gallons, which when converted to a mixed fraction is 5 2/5.
Correct Answer is C
Explanation
percentages are fractions with denominator equal to 100. Then, in decimal form:
The decimal form of 67.9% is 0.679.
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