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3 years ago

Please help me with number 3 Thanks

Mathematics

1 answer:

blsea [12.9K]3 years ago

7 0

Answer:

x = 2.8

y = 2

Step-by-step explanation:

Reference angle = 45°

Opposite = 2

Hypotenuse = x

Adjacent = y

✔️To find x, apply the trigonometric function SOH:

Sin 45 = Opp/Hyp

Sin 45 = 2/x

x*Sin 45 = 2

x = 2/Sin 45

x = 2.82842712 ≈ 2.8 (nearest tenth)

✔️To find y, apply the trigonometric function TOA:

Tan 45 = Opp/Adj

Tan 45 = 2/y

y*Tan 45 = 2

y = 2/Tan 45

y = 2

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Mikaela placed a frame around a print that measures 10 inches by 10 inches. The area of just the frame itself is 69 square inche

olchik [2.2K]

Answer:

1.5 in

Step-by-step explanation:

Let x be the width of the frame.

Side of print=10 in

Area of frame=69 square in

We have to find the width of the frame.

Side of frame=10+x+x=10+2x

Area of square= $(side)^2$

By using the formula

Area of print= $10\times 10=100in^2$

Area of frame with print= $(10+2x)^2$

Area of frame=Area of frame with print-Area of print

$69=(10+2x)^2-100$

$(10+2x)^2=69+100=169$

$(10+2x)=\sqrt{169}=\pm 13$

$10+2x=13$

Because Side is always positive.

$2x=13-10=3$

$x=\frac{3}{2}=1.5$

Hence, width of frame=1.5 in

3 0

3 years ago

How do you do one step equations?

hammer [34]

A one-step equation is an algebraic equation you can solve in only one step. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.

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2 years ago

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xxTIMURxx [149]

Answer:

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Step-by-step explanation:

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One technique of killing cancer cells involves inserting microscopic synthetic rods, called carbon nanotubules, into the cell. W

Vlad [161]

Answer:

The probability that the cell will be killed is 0.9328.

Step-by-step explanation:

We are given that five nanotubules are inserted in a single cancer cell. Independently of each other, they become exposed to near-infrared light with probabilities 0.2, 0.4, 0.3, 0.6, and 0.5.

Let the event that a cell is killed be 'A' and the event where the ith nanotubule kill the cell be ' $\text{B}_i$ '.

This means that the cell will get killed if $\text{B}_1 \bigcup \text{B}_2 \bigcup \text{B}_3 \bigcup \text{B}_4 \bigcup \text{B}_5$ happens. This represents that the cell is killed if nanotubule 1 kills the cell, or nanotubule 2 kills the cell, and so on.

Here, P( $\text{B}_1$ ) = 0.2, P( $\text{B}_2$ ) = 0.4, P( $\text{B}_3$ ) = 0.3, P( $\text{B}_4$ ) = 0.6, P( $\text{B}_5$ ) = 0.5.

So, the probability that the cell will be killed is given by;

P(A)= $1 - [(1 - P(\text{B}_1)) \times (1 - P(\text{B}_2)) \times (1 - P(\text{B}_3)) \times (1 - P(\text{B}_4)) \times (1 - P(\text{B}_5))]$

P(A) = $1 - [(1 - 0.2) \times (1 - 0.4) \times (1 - 0.3) \times (1 - 0.6) \times (1 - 0.5)]$

P(A) = $1 - (0.8 \times 0.6 \times 0.7 \times 0.4 \times 0.5)$

P(A) = 1 - 0.0672 = 0.9328

Hence, the probability that the cell will be killed is 0.9328.

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4 years ago

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<span>1,500 milliliters is equal to 1.5 liters. In the metric system, a liter is the basic unit of volume for liquids. Like the rest of the metric system, the naming system uses prefixes derived from Latin and Greek roots that tell the user what fraction or multiplier the unit uses. In this example, "milia" is "thousand" in Latin. Thus, a "milli-liter" is a thousandth of a liter. Learning these prefixes makes the use of the metric system much easier.</span>

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3 years ago