Answer: Shorter side = 10 feet
Longer side = 24 feet
Hypotenuse = 26 feet
The side lengths of the triangle are 10ft, 24ft and 26ft.
Step-by-step explanation:
Let the length of the shorter leg be x.
The length of the longer leg of a right triangle is 4ft more than twice the length of the shorter leg. This will be: = 2x + 4
The length of the hypotenuse is 6ft more than twice the length of the shorter leg. This will be: = 2x + 6
Note that the square of the hypothenuse will be equal to the square of the other two sides. This will be:
x² + (2x + 4)² = (2x + 6)²
x² + (2x + 4)(2x + 4) = (2x + 6)(2x + 6)
x² + 4x² + 8x + 8x + 16 = 4x² + 12x + 12x + 36
x² + 4x² + 16x + 16 = 4x² + 24x + 36
5x² + 16x + 16 = 4x² + 24x + 36
Collect like terms
5x² - 4x² + 16x - 24x + 16 - 36 = 0
x² - 8x - 20 = 0
x² - 10x + 2x - 20 = 0
x(x - 10) + 2(x - 10) = 0
Therefore, x - 10 = 0
x = 10
a. length of the shorter side = 10ft
b. Length of the longer side = 2x + 4 = 2(10) + 4 = 20 + 4 = 24ft
c. length of the hypotenuse = 2x + 6 = 2(10) + 6 = 20 + 6 = 26ft
d. The side lengths of the triangle are 10ft, 24ft and 26ft.
Answer:
egg
Step-by-step explanation:
yes
What is the answer?!!!
Answer:
[tex]\displaystyle d = \sqrt{72}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (2, -3)
Point (8, -9)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [DF]: [tex]\displaystyle d = \sqrt{(8-2)^2+(-9--3)^2}[/tex](Parenthesis) Simplify: [tex]\displaystyle d = \sqrt{(8-2)^2+(-9+3)^2}[/tex](Parenthesis) Subtract/Add: [tex]\displaystyle d = \sqrt{(6)^2+(-6)^2}[/tex][√Radical] Exponents: [tex]\displaystyle d = \sqrt{36+36}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{72}[/tex]Elena’s bowling league tracks the number of strikes that each player on her team gets. It also tracks the number of games bowled. The table shows the results. Name Games Strikes Elena 10 7 Jenna 7 8 Freya 3 6 Ginny 6 12 Carol 13 15 Katie 9 18 The graph shows the relationship between each player’s games and strikes. Determine which team members have the same ratio of games to strikes, and select their corresponding points on the graph.
Answer:
Step-by-step explanation:
It's asking for those who have the same amount of strikes to the amount of games. For example Jenna gas played 7 games, and Elena has gotten 7 strikes. Their asking how many members have gotten the same amount of strikes to the amount of games they've played.
This should be a big help.
The sum of three consecutive EVEN integers is is 138. Find the smallest integer.
Step-by-step explanation:
Let x be the smallest even integer.
Then (x + 2) and (x + 4) are the other even integers.
We have x + (x + 2) + (x + 4) = 138.
=> 3x + 6 = 138
=> 3x = 132
=> x = 44.
Hence the smallest integer is 44.
Find x and y HELP PLS ASAP
Step-by-step explanation:
A is the correct answer.
xy+(z-x) x=3 y=2 z=4
find the measure of
What would need to happen to create a ratio of 3:1?
Answer:
subtract 2
Step-by-step explanation:
Answer:
Divide an odd number by 3
Step-by-step explanation:
Write the following equation symbolically.
The product of 7 and w is 8 times the sum of 2 and x.
Answer:
7w=8(2+x)
Step-by-step explanation:
Here you go it is here now
Answer:
40+10=50
40+-15=25
40+-30=10
40+-40=0
40+-50=-10
20+-25=-5
Step-by-step explanation:
in this order
Answer:
40+10=50
40+-15=25
40+-30=10
40+-40=0
40+-50=-10
20+-25=-5
Step-by-step explanation:
the other guy had it right.
Cindy is buying a new car and wants to learn how the value of her car will change over time. Insurance actuaries predict the future value of cars using depreciation functions. One such function is applied to the car whose declining value is shown at the right.
Answer:
um theres no picture or anything but when a value decreases in an equation its exponential decay...
The slope of a line is 2, and the y-intercept is 0. What is the equation of the line written in slope-intercept form?
Answer:
y=2x+0
Step-by-step explanation:
y=mx+b
y=(slope)x+(y-intercept)
y=2x+0
Answer:
y = 2x
Step-by-step explanation:
y = mx + b
m = slope
b = y intercept
y = 2x + 0
Therefore, the equation is y = 2x.
What is [tex]12\sqrt1248[/tex]
Step-by-step explanation:
[tex] \sqrt[12]{1248} = 1.811414676[/tex]
f(x)=1/(6x+8)
Only value of x not in the domain?
Answer:The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
x
|
x
∈
R
}
Step-by-step explanation:
V is the midpoint of GH. G has coordinates (5, -3), and V has coordinates (-1, 3). Identify the coordinates of H.
Answer:
(-7,9)
Step-by-step explanation:
i will give brainliest:)
Answer:
I believe it is A, B, and D.
Step-by-step explanation:
Base b contains b-1 symbols
Solve for x
37 points for answer :)
Answer:
x=19
Step-by-step explanation:
x+35=54
54-35=19
x=19
simple math! (i'll mark you)
Answer: 20% of 248.00 is the same as 10% + 10% of 248 and the answer is 49.6
In a collection of 40 coins, 45% of the coins are nickels? How many nickels are in the
collection?
F 20
G 15
H 18
J 24
-4y^5 + 6y^3 + 8y^2 - 2y
To solve 5/7 - 2/n = 1/21
Answer:
-2/n=1/21-5/7
-2/n= -2/3
cross multiple
-2×3=n×-2
-6/-2=-2n/-2
n=3
(1) Colin wants to cut the pizza into 1/6 slices. Marco wants to cut the pizza into 1/4 slices. What is a common denominator of both fractions so that Marco and Colin can see both fourths and sixths in the pizza? What would the equivalent fractions be?
1/12
1/6 = 2/12
1/4 = 3/12
Step-by-step explanation:
Alan buys a book that is on sale.
He writes the expression 0.7b to show the percent of the original cost of the book, b, that he pays.
He rewrites the expression as b−0.3b.
Which statement explains why Alan rewrites the expression?
He receives another discount on the book.
He buys another book with a different discount.
He wants to show by what percent the book was discounted.
He wants to show what percent of the original price he paid.
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
20 less than 5 times a number is 85. What is the number
Answer: I don’t understand the question??
Step-by-step explanation: Can you say the question again like the same way the homework does
Mr. Herrera has 4 cups of raisins to serve to his students as a snack. How many 19 of a cup of servings can Mr. Herrera make?
Answer: The answer is 4 * 9 = 36, So Mr. Herrera can make 36 sevings.
please help me answer the questions
doar de la 1 pana la 9
HELP PLEASE The 30% discount on a $49 dollhouse
Answer:
$14.70
Step-by-step explanation:
$49 x .30 = $14.70
The perimeter of a flag is 474 inches. The flag is 100 inches tall. How long is it?
Please help. Find the volume of the composite shape
Answer:
volume of entire shape = 80 + 32 = 112 cubic inches
Step-by-step explanation:
area of rectangle = 80 in³
area of square pyramid = 1/3 · b² · h (b = base)
A = 1/3 · 4² · 6 = 16 · 2 = 32 in³