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svp [43]
3 years ago
8

Which equation can be used to find the unknown length, a, in this triangle?

Mathematics
1 answer:
Assoli18 [71]3 years ago
6 0

Answer:

Here is the complete question.(attachment)

The correct choice is a^2+15^2=17^2

Step-by-step explanation:

We will apply the Pythagoras formula to calculate the perpendicular length (a).

Pythagoras formula =(base)^2+(perpendicular)^2=(Hypotenuse)^2

The right angle is formed between a and 15\ m length.

So 17\ m is the hypotenuse opposite to right angle is the longest side and called the hypotenuse.

So

(a)^2+(15)^2=17^2

a=\sqrt{17^2-15^2}= 8\ m

So the measure of side length a is 8\ m.

That can be calculated from the option A that is (a)^2+(15)^2=17^2.

Note:Please don't look to the marked answers that was wrong in the attachment.

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Oksanka [162]
I believe it was BC, to find that answer, you simply find the point (0,1) where 0 is x and y is 1. There were two lines which made me not think twice but since it is negative, the lines should be going to the left side rather than the right. So the slope which is y over x of -4/5, to find that, you count up 4 and over 5
6 0
3 years ago
Find the product.
algol13
-mnp(3m - 5n + 7p) =
-3m^2np + 5mn^2p - 7mnp^2 <==
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3 years ago
Find d<br><br> a * a * a = 216<br> a * b * c = 96<br> b * c = 52<br> a + b + c = d
Slav-nsk [51]

a\cdot a\cdot a=216\\\\a^3=216\to a=\sqrt[3]{216}\\\\\boxed{a=6}\\\\\text{Substitute}\ b\cdot c=52\ \text{to the second expression}\ a\cdot b\cdot c=96:\\\\abc96\ \wedge\ bc=52\to a(52)=96\qquad\text{divide both sides by 52}\\\\a=\dfrac{96}{52}\to a=\dfrac{24}{13}\neq6

a = 6 and a = 24/13  FALSE!!!

<h3>Answer: NO SOLUTION.</h3>
3 0
3 years ago
UNA POBLACION DE CIERTA CIUDAD EN EL AÑO 2000 ERA DE 250,000 HABITANTES CON UNA TASA DE CRECIMIENTO RELATIVO DEL 2% , DETERMINA
Fofino [41]

Answer:

La población que se espera para el 2012, es 317,060

Step-by-step explanation:

Si la población tiene un crecimiento relativo del 2%, entonces cada año, la población es un 2% más grande que el año anterior.

Definamos P(t) = población después de t años

Entonces, si al año t = 0 (que corresponde con el año 2000) la población es A

P(0) = A

Un año después, en t = 1, la población incrementa en un 2%

P(1) = A + (2%/100%)*A = A + (0.02)*A = A*(1.02)

Otro año después, en t = 2, la población incrementa un 2% de vuelta.

P(2) = A*(1.02) + (2%/100%)*A(1.02) = A*(1.02) + 0.02*A*(1.02)

      = A*(1.02)*(1.02) = A*(1.02)^2

Ya podemos notar un patrón, la población en el año t va a ser:

P(t) = A*(1.02)^t

Sabemos que en t = 0 (el año 2000) la población es 250,000

Entonces A = 250,000

P(t) = 250,000*(1.02)^t

Ahora queremos calcular la población en el año 2012

entonces si t = 0 es el 2000

2012 esta representado con t = 12

Reemplazando eso en la ecuación, obtenemos:

P(12) = 250,000*(1.02)^12 = 317,060.4

Como esto es una población tenemos que redondearlo al próximo número entero, como el primer digito después del punto es 4, redondeamos para abajo.

Entonces la población que se espera para el 2012 es: 317,060

5 0
2 years ago
If 12% = 1000, what is the remaining 88% worth?
MrRissso [65]
Note: I am not 100% sure that this is the correct way to solve this problem. It is just my best attempt to help. 

Keep in mind that every percentage can be made into a decimal. 12% = 0.12 because 12% is also 12/100 as a fraction.

Since a percentage is the original number multiplied by the percent, you can solve this problem by dividing the number given by the percent. Be sure to turn the percent into a decimal to make it easier. Your work should look like this:

12% = 0.12

1,000 / 0.12 = 8,333.33

That is the first step. How you have to finish the problem and find what 88% is. To do this, you can simply multiply 88%, or 0.88, times the answer you get in the first part. Your work should look like this:

88% = 0.88
0.88 * 8,333.33 = 7,333.33 

Now to check your work, you can add 7,333.33 and 1,000 to see if it equal the total of 8,333.33

7,333.33 + 1,000 = 8,333.3

Since it is equal, this is your answer. 

3 0
3 years ago
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