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3 years ago

Need help ASAP! (Geometry 1)

Mathematics

1 answer:

melisa1 [442]3 years ago

3 0

Answer:

The Length of third side is 52 units.

Step-by-step explanation:

Given:

Length of First side = 48

Length of second side = 20

Also given the angle between them is 90°.

Hence we can say figure shown is a right angled triangle.

For finding the third side we can use Pythagoras theorem which states that;

"If a triangle is right angled then, the Square of the hypotenuse is equal to sum of the square of the other two sides."

$Third \ side ^2=First \ side^2+Second \ side^2$

Hence substituting the values we get;

$Third\ side^2= 48^2+20^2 = 2304+400 =2704$

Now taking Square root on both side we get;

$\sqrt{Third \ side^2} = \sqrt{2704}\\ Third \ side = 52 \ units$

Hence Length of Third side is 52 units.

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Can someone help me out with this question plz

Genrish500 [490]

Answer:

$\left(s\cdot t\right)\left(x\right)=2x^2+12x+16$

$\left(s-t\right)\left(x\right)=-x$

$\left(s+t\right)\left(4\right)=20$

Step-by-step explanation:

Given functions are:

$s\left(x\right)=x+4$

$t\left(x\right)=2x+4$

Then $\left(s\cdot t\right)\left(x\right)=s\left(x\right)\cdot t\left(x\right)$

or $\left(s\cdot t\right)\left(x\right)=\left(x+4\right)\left(2x+4\right)$

or $\left(s\cdot t\right)\left(x\right)=2x^2+4x+8x+16$

or $\left(s\cdot t\right)\left(x\right)=2x^2+12x+16$

---------

Similarly

$\left(s-t\right)\left(x\right)=s\left(x\right)-t\left(x\right)$

or $\left(s-t\right)\left(x\right)=\left(x+4\right)-\left(2x+4\right)=x+4-2x-4$

or $\left(s-t\right)\left(x\right)=-x$

---------

Similarly

$\left(s+t\right)\left(4\right)=s\left(4\right)+t\left(4\right)=\left(4+4\right)+\left(2\left(4\right)+4\right)=\left(8\right)+\left(12\right)=20$

$\left(s+t\right)\left(4\right)=20$

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3 years ago

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Answer:

Put 2.6 carrots in each bag.

Step-by-step explanation:

Just divide the carrots with 5.

13 carrots / 5 sandwhich bags

This then makes 2.6 carrots which is a perfect fit for each bag.

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3 years ago

A factory received a shipment of 11 hammers, and the vendor who sold the items knows there are 2 hammers in the shipment that ar

zhenek [66]

Question:

If a sample of 2 hammer is selected

(a) find the probability that all in the sample are defective.

(b) find the probability that none in the sample are defective.

Answer:

a $Pr = \frac{2}{110}$

b $Pr = \frac{72}{110}$

Step-by-step explanation:

Given

$n = 11$ --- hammers

$r = 2$ --- selection

This will be treated as selection without replacement. So, 1 will be subtracted from subsequent probabilities

Solving (a): Probability that both selection are defective.

For two selections, the probability that all are defective is:

$Pr = P(D) * P(D)$

$Pr = \frac{2}{11} * \frac{2-1}{11-1}$

$Pr = \frac{2}{11} * \frac{1}{10}$

$Pr = \frac{2}{110}$

Solving (b): Probability that none are defective.

The probability that a selection is not defective is:

$P(D') = \frac{9}{11}$

For two selections, the probability that all are not defective is:

$Pr = P(D') * P(D')$

$Pr = \frac{9}{11} * \frac{9-1}{11-1}$

$Pr = \frac{9}{11} * \frac{8}{10}$

$Pr = \frac{72}{110}$

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Answer:

Step-by-step explanation:

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3 years ago

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A plane flying over the ocean is on course to land on an aircraft carrier. The diagonal distance between the plane and the aircr

fomenos

Answer:

the plane's current height above the ocean is 3.42 miles

Step-by-step explanation:

Given that the diagonal distance between the plane and the aircraft carrier is 10 miles.

What we need to find is the vertical distance between the plane and the aircraft carrier which is the plane's current height above the ocean. This can be gotten using sine rule.

For sine rule, you need a side and its opposite angle. For this question the triangle formed is a right angle triangle with diagonal distance, vertical distance and horizontal distance.

let a = diagonal distance = 10 miles

let the opposite angle to the diagonal distance be A = 90° (right angle)

let the vertical distance = b

let the opposite angle to the vertical distance be B = 20°

Sine rule states that $\frac{a}{sin(A)} = \frac{b}{sin(B)}$