3 yd 4 yd What is the length of the hypotenuse? yards

Mathematics

1 answer:

rodikova [14]3 years ago

4 0

Step-by-step explanation:

a² + b² = c²

4² + 3² = 25²

Square root of 25 = 5

C = 5 yards

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Find the value of x and y so that both proportions will be correct:

andrew11 [14]

The values of x and y are 0.2 and 0.4 respectively.

Explanation

The given proportions are.....

$x: 1\frac{2}{3}=y: 3\frac{1}{3}$ and $y:1.5=0.2:0.75$

From the second proportion, we will get....

$y:1.5=0.2:0.75\\ \\ \frac{y}{1.5}=\frac{0.2}{0.75} \\ \\ 0.75y=0.2*1.5\\ \\ 0.75y=0.3\\ \\ y=\frac{0.3}{0.75}=0.4$

Now, we will plug this $y=0.4$ into the first proportion. So we will get....

$x: 1\frac{2}{3}=y: 3\frac{1}{3}\\ \\ x: \frac{5}{3}=0.4:\frac{10}{3} \\ \\ \frac{x}{\frac{5}{3}}= \frac{0.4}{\frac{10}{3}}\\ \\ \frac{3x}{5}=\frac{1.2}{10}\\ \\ 30x=6\\ \\ x= \frac{6}{30}=0.2$

So, the values of x and y are 0.2 and 0.4 respectively.

6 0

3 years ago

I need help with question 6 please, and thank you so much! ;)

trasher [3.6K]

Answer:

A) Ms. Hynnes'

B) Mr. Charles'

Step-by-step explanation:

I start by finding the LCM (lowest common multiple) of 5, 9, and 7, which is 315. Then, to calculate the top number, I divide 315 by the denominator to determine how many times I need to multiply the numerator. For 5, it's 63, giving us a numerator of 126. For 9, it's 35, giving us a numerator of 140. For 7, it's 45, giving us a numerator of 135. I then compare the numbers to find the answer.

5 0

3 years ago

What is h(x) = - 8x + 360

grandymaker [24]

h(x)=-8x+360

-360

h (x)= -8x

sorry if that is incorrect

5 0

3 years ago

What is the value of a? A)5 units B)s 1/3 units C)6 2/3 units D)7 units

taurus [48]