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2 years ago

Solve the right triangle. Round decimal answers to the nearest tenth.

Mathematics

2 answers:

natali 33 [55]2 years ago

4 0

Answer:

given 15 and 57˚

RS = 10 RT = 18 M<T = 0.6

Step-by-step explanation:

c = b/sin(ß) and a = √c^2-b^2 were used to find the answers. they are rounded.

Naddika [18.5K]2 years ago

3 0

Answer: c=a2+b2

Step-by-step explanation: the triangle is solvedlike that

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Warm up:Area.how many square units will it take to fill up this rectangle?

astra-53 [7]

Answer:

12

Step-by-step explanation:

here's your solution

=> area of rectangle = length*width

=> area 4*3 = 12.squnit

=> area of square = side^2

=> area = 1.squnit

=> Number of square = area of rectangle/area of square

=> no of square = 12/1

=>. 12

5 0

3 years ago

A prime factor is a factor that is also a prime number. Create a factor tree for 200 and list the prime factor for 200. Send. He

damaskus [11]

Answer:

Step-by-step explanation:

200 ; 2^3 x 5^2

6 0

3 years ago

Find the sum of the first 17 terms of the arithmetic sequence 10, 14, 18, 22, 26...

kari74 [83]

10, 14, 18 ....

notice, we get the next term by simply adding 4 to the current term, thus "4" is the "common difference, and we know that 10 is the first term.

$\bf n^{th}\textit{ term of an arithmetic sequence}
\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=10\\
d=4\\
n=17
\end{cases}
\\\\\\
a_{17}=10+(17-1)(4)\implies a_{17}=10+(16)(4)
\\\\\\
a_{17}=10+64\implies a_{17}=74\\\\
-------------------------------$

$\bf \textit{ sum of a finite arithmetic sequence}
\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
----------\\
a_1=10\\
a_{17}=74\\
n=17
\end{cases}
\\\\\\
S_{17}=\cfrac{17(10+74)}{2}\implies S_{17}=\cfrac{17(84)}{2}\implies S_{17}=714$

6 0

3 years ago

Read 2 more answers

Please help!! (please don’t reply if you’re just going to say “ don’t know “ etc please and thank you)

Nastasia [14]

Answer:

a = -1 , b = 4 , c = 3 , d = 1

Step-by-step explanation:

The general rules of exponent:

$1) \ a^m * a^n = a^{m+n}\\2) \ a^m / a^n = a^{m-n}\\3) (-1)^m = 1 \ (if \ m \ is \ +) and \ = \ -1 \ (if \ m \ is \ -)$

===================================================

Given:

$(-xy)^3 (xz) =ax^by^cz^d$

The right hand side = (-xy)³ (xz) = (-1)³ x³ y³ x z = (-1) x⁴ y³ z

Comparing the right hand side with the left hand side

∴ a = -1

∴ b = 4

∴ c = 3

∴ d = 1

8 0

3 years ago

What index of m will be 1/m

Mashcka [7]

Answer:

-1.

Step-by-step explanation:

1/m = m^-1.

We can show this is correct if we simplify the following:

m^2 / m ^3 = m * m / m * m* m = 1/m

By the law of indices: m ^2 / m^3 = m^(2-3) = m^-1.

8 0

3 years ago