Answer:
162.8 cm²
Step-by-step explanation:
The formula for the area of a triangle is
A = 1/2bh, where b is the base and h is the height.
The base can be represented as the given leg, 27.6 cm. We do not know the height. We must use the Pythagorean theorem to find this:
a²+b² = c²
27.6²+b² = 30²
761.76+b² = 900
Subtract 761.76 from each side:
761.76+b²-761.76 = 900-761.76
b² = 138.24
Take the square root of each side:
√(b²) = √(138.24)
b = 11.8
Now we use the area formula:
A = 1/2(11.8)(27.6) = 162.84 ≈ 162.8
The area of a given right triangle is 162.8 cm².
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
Given that, the base can be represented as the given leg, 27.6 cm. We do not know the height.
Using Pythagorean theorem,
a²+b² = c²
27.6²+b² = 30²
761.76+b² = 900
761.76+b²-761.76 = 900-761.76
b² = 138.24
b = √(138.24)
b = 11.8
The formula for the area of a triangle is
A = 1/2bh, where b is the base and h is the height
A = 1/2(11.8)(27.6) = 162.84 ≈ 162.8
Therefore, the area of a given right triangle is 162.8 cm².
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What is the simplified expression for the expression below?
4(3x – 2) + 6x(2 – 1)
What is the slope of the line passing through points A(−18,24) and B(16,−8)?
Enter your answer as a ratio, in simplest form, like this: 42/53
How do you write 314,207 in standard form?
Write 9/4 as a decimal. Round to three decimal places
The fraction 9/4 can be written as a decimal by performing the division, resulting in 2.25. As this is already to three decimal places, the answer is 2.250.
Explanation:To write the fraction 9/4 as a decimal, you simply need to perform the division operation. Dividing 9 by 4 will give you the decimal. Using a calculator or long division, the result is 2.25.
However, your question asks for the answer to be rounded to three decimal places. Since 2.25 already falls within that criteria, there's no need for further rounding. Therefore, 9/4 as a decimal, rounded to three decimal places, is 2.250.
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What is 8.61×10−8 in decimal form?
A.0.000000861
B.0.0000000861
C.8,610,000
D.861,000,000
Answer:
B. 0.0000000861
Step-by-step explanation:
The exponent of -8 tells you the leading digit (8) goes in the 8th spot to the right of the decimal point. The number is ...
[tex]0.0000\,0008\,61[/tex]
what is 3/5 x +1.4y=2/5
The given equation is a linear equation in standard form. It can be solved for 'y' by isolating 'y' on one side. The resulting 'y' expression represents a straight line in a 2D coordinate system.
Explanation:The equation 3/5 x + 1.4 y = 2/5 is a linear equation in the standard form a*x + b*y = c. In this equation, 'x' and 'y' are variables, '3/5' is the coefficient of 'x', '1.4' is the coefficient of 'y', and '2/5' is a constant.
To solve this equation, we can neatly isolate 'y' by subtracting '3/5 x' from both sides of the equation which would give us 1.4*y = -3/5*x+2/5. Then, we could further simplify by dividing both sides by '1.4', giving the equation for 'y' in terms of 'x'.
Note that this equation represents a straight line in a coordinate system. The value of 'x' and 'y' would depend on the specific problem's constraints or where this line intersects with another line in a system of linear equations.
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Use pictures and numbers to show all the ways to take apart 8
How many liters of milk are in 334 gal (1 gal = 4 qt)? enter your answer in scientific notation?
1.2643275×10³ litres of milk are in 334 gals.
We need to find out how many litres of milk are in 334 gals (1 gal = 4 qt).
What is scientific notation?The scientific notation helps us to represent the numbers that are very huge or very tiny in a form of multiplication of single-digit numbers and 10 raised to the power of the respective exponent. The exponent is positive if the number is very large and it is negative if the number is very small.
We know that, 1 gallon=3.785411784 litre
Now, 334 gallon=334×3.785411784
=1,264.3275 litres
=1.2643275×10³
Therefore, 1.2643275×10³ litres of milk are in 334 gals.
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a sixth grade class has 12 boys and 24 girls consider this statement: <br />for every two boys there are 4 girls do you agree with this statement?
What are the steps to solve for: 1/5(x+5)=1/4(x-3)+1
a student worked 5 days/week and 8h/day. he earned $300/week. What was his hourly rate of pay?
5 days x 8 hours per day = 40 hours total
300/40 = $7.50 per hour
The hourly rate for students will be $7.5 per hour.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given,
Number of days working in one week = 5 days
Number of hours working in one day = 8 hour
So,
A number of hour working in one week = 5 × 8 = 40 hours.
Now
Hourly rate of pay = Earning per week/number of hours working per week
Hourly rate of pay = 300/40 = $7.5.
Hence "The hourly rate for students will be $7.5 per hour".
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If a well pumps at a rate of 8.4 gal per minute how long would it take to fill the tank described above
To calculate the time it takes to fill a tank using a well pump that pumps at 8.4 gallons per minute, divide the tank's volume (in gallons) by the pump's output rate (8.4 gallons per minute). For example, for a tank with a volume of 84 gallons, it would take about 10 minutes to fill.
Explanation:The time it takes to fill the tank with a well pump pumping at a rate of 8.4 gallons per minute depends on the size of the tank, which wasn't specified in your question. However, to calculate this, you would use the formula: Time = Volume / Rate. If 'Volume' is the size of your tank in gallons and 'Rate' is the rate the well pump can pump water in gallons per minute (8.4 in this case), you would divide the 'Volume' by the 'Rate' to get the time it would take to fill the tank in minutes.
For example, if your tank has a volume of 84 gallons, using our formula: Time = Volume / Rate, it would translate to Time = 84 / 8.4. This gives us a duration of 10 minutes.
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Each beehive on larsons honey farm usually produces 85 pounds if honey per year. About how many pounds of honey wil 10 to 3power hives produce in a year
The ray XZ is the angle bisector of ∠WXY and m∠WXY = 105°. Enter m∠WXZ. The measure of ∠WXZ is
Answer:
∠WXZ = 52.5
Step-by-step explanation:
Angle Bisector is the line that divides that angle into two equal parts.
Hence, Ray XZ divide the ∠WXY into two equal parts.
⇒ [tex]\angle WXZ = \frac{1}{2} \angle WXY [/tex]
∴ [tex]\angle WXZ =\frac{1}{2}\times105^{\circ}=52.5[/tex]
⇒ ∠WXZ = 52.5
An angle bisector divides an angle into two equal parts.
The measure of [tex]\angle WXZ[/tex] is [tex]52.5^o[/tex]
Given that:
[tex]XZ \to[/tex] Bisector of [tex]\angle WXY[/tex]
[tex]\angle WXY = 105^o[/tex]
This means that:
[tex]\angle WXY = 2 \times \angle WXZ[/tex]
So, we have:
[tex]105^o = 2 \times \angle WXZ[/tex]
Divide both sides by 2
[tex]52.5^o = \angle WXZ[/tex]
Rewrite as:
[tex]\angle WXZ = 52.5^o[/tex]
Hence, the measure of [tex]\angle WXZ[/tex] is [tex]52.5^o[/tex]
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The square root of -108
A car travels 208 miles on 10 gallons of gasoline. Mentally calculate the number of miles that the car travels on 1 gallon of gasoline.
The tempature at 6:00 P.M. was 0°F. At midnight the tempature was 5° lower. By 6:00 A.M., the tempature was 4° lower than it had been at midnight. By noon, the tempature had gone up by 10°. What was the noontime tempature?
Which set of numbers can represent the side lengths, in centimeters, of a right triangle?
A. 8,12,15
B. 10,24,26
C. 12,20,25
D. 15,18,20
Answer:
B is the correct answer , B. 10,24,26
Step-by-step explanation:
Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest whole number.)
5,280 feet = 1 mile
40 x 5280 = 211200 feet per hour
211200 / 3600 = 58.666 = 59 feet per second
What is the equation of the circle shown in the graph
The equation of the circle will be x² + (y + 3)² = 4. Then the correct option is C.
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x - h)² + (y - k)² = r²
The center of the circle is at (0, -3) and the radius of the circle is 2 units. Then the equation of the circle will be
(x - 0)² + (y - (-3))² = 2²
x² + (y + 3)² = 4
Then the correct option is C.
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Selena's family took a road trip. The first day they traveled 462 miles in 7 hours. They continued at the same rate on the second day and traveled for 4 hours. How far did they travel in all?
A rectangular soccer field is twice as long as it is wide. If the perimeter of a soccer field is 300 yards, what are the fields's dimensions?
Drag the correct tiles that match.?
best estimate of 48% of 60
Mr. Johnson used 80 meters of fencing to enclose a rectangular garden.
The length of the garden is 25 meters.
How wide is the garden?
A) 25
B) 15
C) 30
D) 50
25*2 = 50
80-50 =30
30 /2 = 15
Answer is B
a central angle θ of a circle with radius 16 inches subtends an arc of 19.36 inches. find θ
The required measure of the angle Ф is given as Ф = 69.36°.
As mentioned in the question, a central angle θ of a circle with a radius of 16 inches subtends an arc of 19.36 inches.
What are the angles?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
here,
Angle = [arc/radius] 180/π
Substitute the values in the above equation,
Ф = [19.36/16]180/3.14
Ф = 69.36°
Thus, The required measure of the angle Ф is given as Ф = 69.36°.
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If the decimal form for a unit fraction is a repeating decimal is it possible for a multiple of that fraction to have a decimal form that is not a repeating decimal
Answer:
If a unit fraction has a repeating decimal, its multiples will also have repeating decimals. Division by the same divisor generates the same repeating pattern. Thus, multiples cannot avoid repetition.
Explanation:
If the decimal form for a unit fraction (a fraction where the numerator is 1) is a repeating decimal, then its reciprocal (the fraction obtained by flipping the numerator and denominator) will also be a repeating decimal. This is a consequence of the way division works.
For example, if [tex]\( \frac{1}{3} \)[/tex] is a repeating decimal (0.333...), then [tex]\( \frac{3}{1} \)[/tex] (which is [tex]\( 3 \times \frac{1}{3} \)[/tex] ) will also be a repeating decimal because dividing 3 by 1 will result in the same repeating pattern.
So, no matter how you multiply a unit fraction that has a repeating decimal representation, the resulting decimal will still be repeating. Therefore, it is not possible for a multiple of that fraction to have a decimal form that is not a repeating decimal.
what is square root of 8 plus square root of 50 minus square root of 72
Answer:
1.41421356237 making it a terminating decimal.
Step-by-step explanation:
2.82842712475
+
7.07106781187
-
8.48528137424
Simplified Answer
1.4 or 1.41
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3x + 8 = -x + 20 What is x?
What set of 3 numbers have GCF of 3