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1 year ago

. Solve for the missing value (x).

Mathematics

1 answer:

just olya [345]1 year ago

4 0

The missing value of x will be 9.6 mL.

<h3>What are ratio and proportion?</h3>

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

The equation is given below.

12.5 mg : 5 mL = 24 mg : x mL

Then the value of x will be

12.5 / 5 = 24 / x

x = (24 × 5) / 12.5

x = 9.6 mL

More about the ratio and the proportion link is given below.

brainly.com/question/14335762

#SPJ1

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Line segment QR is dilated to create line segment Q'R' using the dilation rule DT,1.5. Point T is the center of dilation. Line s

velikii [3]

Answer:

$y= 3$

Step-by-step explanation:

Given

$RT = 6$

$k = 1.5$ --- dilation ratio

See attachment

Required

Determine length, y

First, we calculate length R'T.

Since point T is the center of dilation, then:

$R'T = k * RT$

Substitute known values

$R'T = 1.5 * 6$

$R'T = 9$

y is between R'T and RT;

So:

$y = R'T - RT\\$

$y = 9 -6$

$y= 3$

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2 years ago

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DBE is obtained by enlarging ABC. If the area of ABC is 3 square units, what is the area of DBE?

Dennis_Churaev [7]

<span>In two similar triangles, like the one we see above, the ratio of their areas is the square of the ratio of their sides.

Based on the graph, we see that BD is 3 times larger than BA. This means that the area of DBE will be 3</span>² times larger, or 9 times larger, than the area of ABC.

Area of ABC = 3 square units
Area of DBE = 3 * 9 = 27 square units
Answer is A.

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3 years ago

2sin(2x) + 1 = 3sin(2x) Solve for x with exact answers. The domain is 0 ≤ x ≤ π

Temka [501]

Answer:

x = π/4.

Step-by-step explanation:

3sin(2x) = 2sin(2x) + 1

3sin(2x) - 2sin(2x) = 1

1sin(2x) = 1

sin(2x) = 1

When a variable n = π/2, sin(π/2) = 1 [refer to the unit circle].