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3 years ago

Find the value of x in the triangle shown

Mathematics

2 answers:

german3 years ago

4 0

Answer : would be 5

Because a triangle that has a sequence of the number 3 & 4, or 3 & 5, or 4 & 5 will always consider of the number 3,4 and 5.

Also if te triangle did consist of different numbers the Pythagorean theorem ( a^2 + b^2 = c^2 ) can be use.

So in this case it’ll be 3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^ 2

Then we square root both sides and the answe will be : 5 = c

Mrrafil [7]3 years ago

3 0

Answer:

Step-by-step explanation:

you need to use the Pythagorean theorem

a^2+b^2=c^2

a&b=sides

c=hypotonuse

plug the side values into the equation

4^2+3^2=c^2

16+9=c^2

25=c^2

you have to square root 25 to find c itself

c=5

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If a cyclist increases his speed by 3 miles per hour, he can reduce the time required for a 6 mile trip by 10 minutes. What is t

raketka [301]

Answer:

Slower speed = 9 mph

Step-by-step explanation:

Let the initial speed (slower speed) = s mph

Speed 's' = $\frac{\text{Distance}}{\text{Time}}$

s = $\frac{6}{t}$ -------(1)

If the cyclist increases the speed by 3 mph then the final speed = (s + 3) mph

He can reduce the time 't' by 10 minutes ( $\frac{1}{6}$ hours)

Now, (s + 3) = $\frac{6}{t-\frac{1}{6}}$

s + 3 = $\frac{36}{6t-1}$ --------(2)

Substitute the value of 's' from equation (1) to the equation (2).

$\frac{6}{t}+3=\frac{36}{6t-1}$

$\frac{2}{t}+1=\frac{12}{6t-1}$

$\frac{2}{t}-\frac{12}{6t-1}=-1$

$\frac{2(6t-1)-12t}{t(6t-1)}=-1$

$\frac{12t-2-12t}{t(6t-1)}=-1$

$-\frac{2}{t(6t-1)}=-1$

6t² - t = 2

6t² - t - 2 = 0

6t² - 4t + 3t - 2 = 0

2t(3t - 2) + 1(3t - 2) = 0

(2t + 1)(3t - 2) = 0

t = $-\frac{1}{2},\frac{2}{3}$ hours

But the time can't be negative.

Therefore, t = $\frac{2}{3}$ hours is the answer.

From equation (1),

s = $\frac{6}{\frac{2}{3}}$

s = 9 miles per hour.

Slower speed = 9 mph is the answer.

6 0

3 years ago

Evaluate the expression when c=21 and d=4. c-5d

vekshin1

$\huge \boxed{\mathfrak{Question} \downarrow}$

Evaluate the expression when c = 21 and d = 4, c - 5d = ?

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

Given,

c = 21
d = 4
c - 5d = ?

Let's solve it now :-

$\sf \: c - 5d \\ \\ \sf \: Substitute \: the \: values \: of \: c \: and \: d \\ \\ \sf c - 5d \\ \rightarrow \sf(21) - 5(4) \\ \sf \rightarrow21 - 20 \\ = \boxed{\boxed{\bf \: 1}}$

The value of the expression is 1.

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