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2 years ago

Complete the statement. Round to the nearest hundredth if necessary. 3 km = m

Mathematics

1 answer:

sveta [45]2 years ago

3 0

Answer:

3km=3000m

Step-by-step explanation:

if 1 km=1000m,

3 km: 3 x 1000 = 3000m

hope this helps :)

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13)Given triangle XYZ as shown at right find YZ rounded to the nearest tenth

blagie [28]

Part 3) <span>Given triangle XYZ as shown at right find YZ rounded to the nearest tenth

we know that
</span><span>the sum of the internal angles of a triangle add up to 180 degrees
</span>so
m∠X=180-[55+29]----> 96°
applying the law of sines
YZ/sin X=35/sin 55°------> YZ=35*sin 96/sin 55-----> YZ=42.49
YZ=42.5 units

the answer Part 3) is
YZ=42.5 units

Part 4)
we know that
OQ/NQ=PR/NR
NQ=4X+(2X+2)---> 6X+2
OQ=2X+2
PR=15
NR=24+15----> 39
(2X+2)/(6X+2)=15/39
39*(2X+2)=15*(6X+2)
78X+78=90X+30
90X-78X=78-30
12X=48
X=4

The answer part 4) is
x=4

Part 5) A trapezoid is show below. Calculate the measure of angle x. Round to the nearest tenth of a degree

see the picture with letters attached to better understand the problem

we know that
BC=36-28-----> 8 ft

sin x=BC/AC-----> sin x=8/12
x=arc sin(8/12)-------> x=41.81°------> x=41.8°

the answer Part 5) is
x=41.8°

6 0

3 years ago

What is the amplitude of sin ?

sp2606 [1]

You haven't provided a graph or equation so I will tell the simplified meaning of amplitude instead.

Amplitude, is basically a distance from midline/baseline to the maximum or minimum point.

For sine function, can be written as:

$\displaystyle \large{ y = A \sin(bx - c) + d}$

A = amplitude
b = period = 2π/b
c = horizontal shift
d = vertical shift

I am not able to provide an attachment for an easy view but I will try my best!

We know that amplitude or A is a distance from baseline/midline to the max-min point.

Let's see the example of equation:

$\displaystyle \large{y = 2 \sin x}$

Refer to the equation above:

Amplitude = 2
b = 1 and therefore, period = 2π/1 = 2π
c = 0
d = 0

Thus, the baseline or midline is y = 0 or x-axis.

You can also plot the graph on desmos, y = 2sinx and you will see that the sine graph has max points at 2 and min points at = -2. They are amplitude.

So to conclude or say this:

If Amplitude = A from y = Asin(x), then the range of function will always be -A ≤ y ≤ A and have max points at A; min points at -A.

6 0

3 years ago

NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.

forsale [732]

Answer:

CU=-3(5,-12)

CU=36-15

CU=21

The answer is A=21

5 0

3 years ago

Read 2 more answers

HELP PLEASE !!!!!!!!!!!

horrorfan [7]

Answer:

option B

Step-by-step explanation:

$\lim_{x\to \infty} f(x) = \lim_{x \to \infty} (log(x+2)-3 )$

$= \lim_{x \to \infty} ( log(x+2)) - \lim_{x \to \infty} 3\\\\=\infty - 3\\\\= \infty$

$\lim_{x \to 2} f(x) = \lim_{x \to 2} ( log(x+2)) - \lim_{x \to2} 3\\\\$

$= log( 2 + 2 ) - 3\\\\= log 4 - 3\\\\=log(2^2) -3\\\\=2 log 2 -3$

$\lim_{x \to -2} f(x) = \lim_{x \to -2} ( log(x+2)) - \lim_{x \to -2} 3\\\\$ $\lim_{x \to -2}_+ f(x) = \lim_{x \to -2_+} ( log(x+2)) - \lim_{x \to -2_+} 3 = -\infty\\\\\lim_{x \to -2_-} f(x) = \lim_{x \to -2}_- ( log(x+2)) - \lim_{x \to -2}_- 3 = -\infty\\\\\\\lim_{x \to -2} f(x) = - \infty$

6 0

3 years ago

When the width of a rectangle with a length of 3/5 foot was decreased by 1/3 foot, the area of the rectangle became 7/25. Find t

insens350 [35]

Answer:

$\large\boxed{\text{The original width}\ =\dfrac{4}{5}\ ft}$

Step-by-step explanation:

$\text{The dimensions of rectangle:}\ \dfrac{3}{5}\times w.\\\\\text{The dimensions of new rectangel:}\ \dfrac{3}{5}\times\left(w-\dfrac{1}{3}\right)\\\\\text{The area of the new rectangle:}\ A=\dfrac{7}{25}\ ft^2\\\\\text{We have the equation:}\\\\\dfrac{3}{5}\left(w-\dfrac{1}{3}\right)=\dfrac{7}{25}\qquad\text{multiply both sides by 25}\\\\25\!\!\!\!\!\diagup^5\cdot\dfrac{3}{5\!\!\!\!\diagup_1}\left(w-\dfrac{1}{3}\right)=25\!\!\!\!\!\diagup^1\cdot\dfrac{7}{25\!\!\!\!\!\diagup_1}$

$15\left(w-\dfrac{1}{3}\right)=7\qquad\text{use the distributive property}\\\\15w-15\!\!\!\!\!\diagup^5\cdot\dfrac{1}{3\!\!\!\!\diagup_1}=7\\\\15w-5=7\qquad\text{add 5 to both sides}\\\\15w=12\qquad\text{divide both sides by 15}\\\\w=\dfrac{12:3}{15:3}\\\\w=\dfrac{4}{5}$

5 0

4 years ago