All categories

3 years ago

For problems 3 and 4, find the missing side of the triangle. Leave answers in simplest radical form.

Mathematics

1 answer:

maria [59]3 years ago

7 0

Answer: 3. 4 $\sqrt{13}$ 4. $\sqrt{225}$

Step-by-step explanation:

8^2 + 12^3 = c^2

64 + 144 = c^2

208 = c^2

√208

$4\sqrt{13}$

The final answer is the square root of 208

8^2 + b^2 = 17^2

64 + b^2 = 289

-64 64

b^2 = 225

$\sqrt{225}$

You might be interested in

Given that f(x) = x2 – 3x - 10 and g(x) = x – 5, find (f - g)(x) and express

Roman55 [17]

Answer:

$(f-g)(x)= x^2-4x-5$

Step-by-step explanation:

We have the two functions:

$f(x)=x^2-3x-10\text{ and } g(x)=x-5$

And we want to find (f-g)(x).

(f-g)(x) is equivalent to f(x)-g(x).

Therefore:

$\begin{aligned} (f-g)(x)&=f(x)-g(x)\\ &=(x^2-3x-10)-(x-5)\end{aligned}$

Simplify:

$\begin{aligned} &=x^2-3x-10-x+5 \\ &=(x^2)+(-3x-x)+(-10+5) \\ &=x^2-4x-5\end{aligned}$

Therefore:

$(f-g)(x)= x^2-4x-5$

8 0

3 years ago

Read 2 more answers

Please Answer Snip-it Below Thanks

den301095 [7]

Answer:

the answer will be 7.5 feet

Step-by-step explanation:

3 0

4 years ago

During the two hours of the morning rush from 8 a.m. to 10 a.m., 100 customers per hour arrive at the coffee shop. The coffee sh

Anastaziya [24]

So, 40 Customers are waiting at 10 A.M.

According to statement

Number of customers arrives at coffee shop per hour = 100

Capacity of shop for per minute per customer = 0.8 minute

Capacity of shop for customers per hour = 80

Find number of customers are by

Queue growth rate = Demand - Capacity

Put the values in the formula and find the growth rate

So,

Queue growth rate= 100 - 80 = 20.

Length of queue at 10 a.m. = 2 × 20 = 40.

So, 40 Customers are waiting at 10 A.M.

Learn more about GROWTH RATE here brainly.com/question/1437549

#SPJ4

7 0

2 years ago

12) g = xy/c , for x

Paladinen [302]

Answer:

c=xy/g happy to help ya:)

Step-by-step explanation:

6 0

3 years ago

An arithmetic sequence is represented in the following table. Enter the missing term of the sequence.

bija089 [108]

$a_1=-9\\\\a_2=a_1-8\to a_2=-9-8=-17\\\\a_3=a_2-8\to a_3=-17-8=-25\\\\a_4=a_3-8\to a_4=-25-8=-33\\\\\text{The general term of an arithmetic sequence:}\\\\a_n=a_1+(n-1)d\\\\a_1-first\ term\\d-common\ difference\\\\\text{We have}\ a_1=-9\ \text{and}\ d=-8.\ \text{Substitute:}\\\\a_n=-9+(n-1)(-8)=-9-8n+8=-8n-1\\\\\text{Put n = 43 and calculate}\ a_{43}\\\\a_{43}=-8(43)-1=-344-1=-345\\\\Answer:\ \boxed{?=-345}$

4 0

3 years ago