Answer:
a,b and dcbecause it equals 1
Step-by-step explanation:
you have to find something that is gonna divide by itself to get a postive number, so d wont work bc it would be 24 divided by 25
ANSWER:
7 / 80
8 3/4% expressed as a fraction is 7 / 80.
STEP-BY-STEP EXPLANATION:
Write 8 3/4% as a percentage with a decimal:
= 8.75%
Convert 8.75% to a fraction:
= 8.75% ÷ 100
= 8.75 / 100
Make the numerator a whole number by multiplying both the numerator and denominator by a 100:
= ( 8.75 × 100 ) / ( 100 × 100 )
= 875 / 10000
Divide the numerator and denominator in the fraction by their highest common factor ( HCF ):
HCF = 125
THEREFORE:
= ( 875 ÷ 125 ) / ( 10000 ÷ 125 )
= 7 / 80
Answer:
15cm by 20cm by 25cm
Step-by-step explanation:
Let the sides of the right angle be x, y and h
x is the breadth
y is the height
h is the hypotenuse
Perimeter = x + y + h
x + y +h = 60
x+y = 60-h .... 1
If its area is equal to 150 square cm, then;
Area = 1/2 * base * height
Area = 1/2 *x * y
xy/2 = 150
xy = 300 ....2
According to pythagoras theorem;
x² + y² = h²
On expanding x² + y²
x² + y² = (x+y)² - 2xy
The equation becomes
(x+y)² - 2xy = h² ... 3
Substitute equation 1 and 2 into 3;
From 3;
(x+y)² - 2xy = h² ... 3
(60-h)² - 2(300) = h²
3600-120h + h² - 600 = h²
3600-120h - 600 = 0
-120h = 600-3600
-120h = -3000
h = 3000/120
h = 25cm
Recall that x+y+h = 60
x+y+25 = 60
x+y = 60 - 25
x+y = 35 ... 4
From equation 2;
xy = 300
x = 300/y ..... 5
Substitute 5 into 4;
300/y + y = 35
(300+y²)/y = 35
300+y² = 35y
y²-35y + 300 = 0
y²-20y-15y + 300 = 0
y(y-20)-15(y-20) = 0
y-20 = 0 and y - 15 =0
y = 20 and 15
since x+y = 35
x + 20 = 35
x = 35 - 20
x = 15
Hence the sides of the triangle are 15cm by 20cm by 25cm
The correct answer for the question that is being presented above is this one: "B. There is no association between gender and party affiliation." At the α = .10 level, the correct conclusion for the test is that <span>B. There is no association between gender and party affiliation. </span>
