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3 years ago

The figure is drawn on centimeter grid paper. Find the perimeter of the shaded figure to the nearest tenth.

Mathematics

2 answers:

nevsk [136]3 years ago

8 0

I hope this helps you

solmaris [256]3 years ago

5 0

Answer:

Option A. 17.6 cm

Step-by-step explanation:

Now if we redraw the figure as figure attached.

Rectangle ABCD can be divided in three triangles

Now we apply Pythagoras theorem in ΔAED to get the measure of side DE

DE = √(7² + 3²) = √(49+9) = √58 = 7.62 cm

Now we apply Pythagoras theorem in ΔCDF to get the measure of side DF

DF = √(4²+ 3²) = √(16+9) = 5 cm

Now we calculate the perimeter of EBFD

Perimeter of the shaded figure = mEB + mBF + mFD + mDE

= 1 + 4 + 5 + 7.6 = 17.6 cm

Therefore Option A. 17.6 is the answer.

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Which of the following is a reflection of ( 2,4 ) across the x-axis?

fiasKO [112]

Answer:

(2,-4)

Step-by-step explanation:

(2,4) is located in Quadrent I (+,+), if you reflect over the x-axis, it would be in Quadrent IV (+,-).

if you dont understand I suggest you draw a coordinate plane on a graphing notebook.

7 0

3 years ago

Compare the decimals 16.30 and 16.3

pshichka [43]

16.30 and 16.3 equal. If you ever have a problem like that then you just add on a zero.

Example:
19.4500 = 19.45 Just add two zeros on the end
19.45 + two zeros = 1.4500

8 0

3 years ago

A ball is thrown into the air. The height in feet of the ball can be modeled by the equation, h(t) = −16t2 + 10t + 6 where t is

Lelechka [254]

A function assigns the value of each element of one set to the other specific element of another set. The correct option is D.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

The time at which the ball will hit the ground is,

h(t) = −16t² + 10t + 6

0 = -16t² + 10t + 6

8t² - 8t + 3t - 3= 0

8t(t-1)+3(t-1) = 0

(8t+3)(t-1)=0

t = -0.375, 1

Hence, the ball hit the ground at 1 second, while the function in intercept form can be written as h(t) = (−8t − 3)(2t − 2).

Thus, the correct option is D.

Learn more about Function:

brainly.com/question/5245372

#SPJ1

6 0

2 years ago

Which statement is true about the expression?

zysi [14]

Answer:

Your number is (3 sqrt(2)) / sqrt(2) = 3, and is a rational number indeed. I don't know exactly how to interpret the rest of the question. If r is a positive rational number and p is some positive real number, then sqrt(r^2 p) / sqrt(p) is always rational, being equal r. Possibly your question refers to situtions in which sqrt(c) is not uniquely determined, as for c negative real number or complex non-real number. In those situations a discussion is necessary. Also, in general expressions the discussion is necesary, because the denominator must be different from 0, and so on.

Step-by-step explanation:

7 0

2 years ago

Let f (x) = 3x − 1 and ε > 0. Find a δ > 0 such that 0 < ∣x − 5∣ < δ implies ∣f (x) − 14∣ < ε. (Find the largest

s344n2d4d5 [400]

Answer:

This proves that f is continous at x=5.

Step-by-step explanation:

Taking f(x) = 3x-1 and $\varepsilon>0$ , we want to find a $\delta$ such that $|f(x)-14|$

At first, we will assume that this delta exists and we will try to figure out its value.

Suppose that $|x-5|$ . Then

$|f(x)-14| = |3x-1-14| = |3x-15|=|3(x-5)| = 3|x-5|< 3\delta$ .

Then, if $|x-5|$ , then $|f(x)-14|$ . So, in this case, if $3\delta \leq \varepsilon$ we get that $|f(x)-14|$ . The maximum value of delta is $\frac{\varepsilon}{3}$ .

By definition, this procedure proves that $\lim_{x\to 5}f(x) = 14$ . Note that f(5)=14, so this proves that f is continous at x=5.

3 0

2 years ago