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Anna71 [15]
2 years ago
13

321.5 is between ________ and ________ on the number line.

Mathematics
1 answer:
Lena [83]2 years ago
8 0

321.5 is between ___321_____ and ___322_____ on the number line.

Answer

B

321 and 322

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Trigonometric equations<br><br> 5sinx = 3sinx + square root of 2
Lera25 [3.4K]

\qquad\qquad\huge\underline{{\sf Answer}}♪

Let's solve for x ~

\qquad \sf  \dashrightarrow \:5 \sin(x)  = 3 \sin(x)   +  \sqrt{2}

\qquad \sf  \dashrightarrow \:5 \sin(x)  - 3 \sin(x)  =  \sqrt{2}

\qquad \sf  \dashrightarrow \:2 \sin(x)  =  \sqrt{2}

\qquad \sf  \dashrightarrow \: \sin(x)  =  \sqrt{2}  \div 2

\qquad \sf  \dashrightarrow \: \sin(x) =  \frac{1}{ \sqrt{2} }

\qquad \sf  \dashrightarrow \:x = 45 \degree \:  \: or \:  \:  \frac{\pi}{4}  \: rad

・ .━━━━━━━†━━━━━━━━━.・

4 0
2 years ago
The diagram below shows the rectangle PLUM.
Illusion [34]

Answer:

Area of rectangle PLUM = 75.00 square units

Step-by-step explanation:

Since diagonal of rectangle divides the rectangle into two equal triangles,

Therefore, area of the rectangle PLUM = 2× area of triangle PLM

By the mean proportional theorem,

In ΔPLM,

AP² = AM × AL

6² = AM × 8

AM = \frac{36}{8}

AM = 4.5 units

Area of PLM = \frac{1}{2}(\text{Base})(\text{height})

                     = \frac{1}{2}(ML)(AP)

                     = \frac{1}{2}(8 + 4.5)(6)

                     = 12.5 × 3

                     = 37.5 units²

Now area of rectangle PLUM = 2×37.5 = 75 units²

Therefore, area of the rectangle is 75.00 square units.

3 0
3 years ago
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
Alika [10]
Your answer is 5173.
6 0
2 years ago
What’s the geometric mean of 3 square roots of 5 and 5 square roots of 5
navik [9.2K]

Answer:

5√3

Step-by-step explanation:

The <em>geometric mean</em> (GM) of two numbers x and y is the square root of their product.

Thus, the GM of x and y is √(xy).

The GM of 3√5 and 5√5

= √(3√5 × 5√5)

= √[3 × 5 × (√5)²]

= √(3 × 5 × 5)

= √(3 × 5²)

= 5√3

8 0
3 years ago
How to change the standard form of the equation to slope-intercept form
gavmur [86]
Example 2x + y =3
-2x -2x
——————————————
Y = 3 - 2x or y = -2x - 3
7 0
3 years ago
Read 2 more answers
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