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OverLord2011 [107]
2 years ago
8

Given the following information, calculate the

Mathematics
1 answer:
Anna11 [10]2 years ago
6 0

Answer:

150

Step-by-step explanation:

The ratio of ZY to SW is 16:24, meaning it is 2:3, so all of the sides of RST are 1.5 times as long as RZX.

RZ = 28, so RS = 42

RX = 40, so RT = 60

ZX= ZY + XY and since they are the same length, ZX = 32, making ST = 48

The perimeter is 42 + 60 + 48 = 150

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Consider the number pattern -6, -11, -16, -21..... Which term of the pattern =-401?​
steposvetlana [31]

Answer:

First get the formula for your pattern in the form of TN. Where d represents your difference and a represents your first term. Then equate the -401 to your formula and solve for n

7 0
3 years ago
Scalcet8 4. 2. 26. suppose that 2 ≤ f '(x) ≤ 4 for all values of x. what are the minimum and maximum possible values of f(4) − f
ziro4ka [17]

The minimum value of f(4) - f(1) is <u>6</u>.

The maximum value of f(4) - f(1) is <u>12</u>.

In the question, we are given that, 2 ≤ f'(x) ≤ 4 for all values of x.

Taking the given inequality as (i).

We are asked to find the minimum and maximum possible values of f(4) - f(1).

We multiply (i) by dx throughout, to get:

4dx ≤ f'(x)dx ≤ 5dx.

To find this, we integrate (i) in the definite interval [4, 1] with respect to dx, to get:

\int_{1}^{4}2dx \leq \int_{1}^{4}f'(x)dx \leq \int_{1}^{4}4dx\\\Rightarrow [2x]_{1}^{4} \leq [f(x)]_{1}^{4} \leq [4x]_{1}^{4}\\\Rightarrow 2*4 - 2*1 \leq f(4)-f(1) \leq 4*4 - 4*1\\\Rightarrow 6 \leq f(4) -f(1) \leq 12

Thus, the minimum value of f(4) - f(1) is 6.

The maximum value of f(4) - f(1) is 12.

Learn more about definite integrals at

brainly.com/question/17074932

#SPJ4

8 0
2 years ago
A knitting shop orders yarn from three suppliers in​ Toronto, Montreal, and Ottawa. One month the shop ordered a total of 108 un
Zarrin [17]
All you need to do is add them all together witch is basic addition
6 0
3 years ago
Do problems #4-6. Your answer choices are in a table below. Type your answer numbers the blank to move on! No spaces, no commas.
ivann1987 [24]
<h2>Answer:</h2>

\frac{1}{2a}

<h3>Step-by-step explanation:</h3>

Simplify or expand

(2a)^{-1}

Simplify using negative exponent rule a^{-n}=\frac{1}{a^n}

\frac{1}{2a}

<em>I hope this helps you</em>

<em>:)</em>

3 0
2 years ago
Solve for x. Show your work.
Korvikt [17]

Answer:

x=6

Step-by-step explanation:

The sum of the angles is a right angle, which is 90 degrees

5x+ x+54 = 90

Combine like terms

6x+54 = 90

Subtract 54 from each side

6x+54-54 = 90-54

6x = 36

Divide each side by 6

6x/6 = 36/6

x= 6

3 0
3 years ago
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