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3 years ago

Can someone help explain how to solve this problem please? It would be very helpful.

Mathematics

1 answer:

ladessa [460]3 years ago

7 0

Z=180-84-50
x=180-84-63
y=180-33-13

z=46
x=33
y=134

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Find x and decide if that side (with the x) is an Altitude

irga5000 [103]

Answer:

b = 15
c = 51
c = 100
b = 25.75

Step-by-step explanation:

Using the Pythagoras theorem equation:

$c^{2}=a^{2}+b^{2}$

Where 'c' is the hypotenuse and 'b' and 'a' the sides of the right triangle.

1) Here c = 17, a = 8 and b = ?

Then, using the above equation we can find the side b.

$17^{2}=8^{2}+b^{2}$

$b=\sqrt{225}$

$b=15$

2) Here a = 24, b = 45 and c = ?

$c=\sqrt{24^{2}+45^{2}}$

$c=51$

3) Here a = 28, b = 96 and c = ?

$c=\sqrt{28^{2}+96^{2}}$

$c=100$

4) Here a = 17, b = ? and c = 28

$b=\sqrt{28^{2}-11^{2}}$

$b=25.75$

Just in the 4 case x is an altitude.

I hope it helps you!

3 0

3 years ago

What is the math answer

never [62]

Answer:

Step-by-step explanation:

The perpendicular diameter to the chord divides it into two congruent parts.

Since

VU⊥XS,
XT=3b-1,
TS=b+5,

we have that XT=TS.

Hence,

3b-1=b+5,

3b-b=5+1,

2b=6,

b=3.

So,

XT=3·3-1=9-1=8

TS=3+5=8

and

XS=XT+TS=8+8=16.

7 0

3 years ago

Read 2 more answers

Consider the following.x = t − 2 sin(t), y = 1 − 2 cos(t), 0 ≤ t ≤ 8πSet up an integral that represents the length of the curve.

sweet [91]

The length of the parametric curve (call it <em>C </em>) is given by

$\displaystyle\int_C\mathrm ds=\int_0^{8\pi}\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt$

We have

$x=t-2\sin t\implies\dfrac{\mathrm dx}{\mathrm dt}=1-2\cos t$

$y=1-2\cos t\implies\dfrac{\mathrm dy}{\mathrm dt}=2\sin t$

Now,

$\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2=5-4\cos t$

so that the arc length integral reduces to

$\displaystyle\int_0^{8\pi}\sqrt{5-4\cos t}\,\mathrm dt$

which has an approximate value of 53.4596.

8 0

3 years ago

What is the difference between axiom and postulate theorem

nydimaria [60]

Answer:

Axioms or postulates are universal truths. They cannot be proved. Theorem are statements which can be proved.

6 0

3 years ago

Maggie has $14,100 to invest, and wishes to gain $4,000 in interest over the next eight years. Approximately what is the minimum

julsineya [31]

Simple interest doesn't compound, so we just find the interest she needs by dividing 4,000 by 8, and then divide that number by her principal to find the rate of interest.

4,000 ÷ 8 = 500
She needs 500 dollars per year in interest.

800 ÷ 14,100 = .0355 = 3.55%

Answer is B

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3 years ago