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yulyashka [42]
3 years ago
6

Please help this is due TODAY

Mathematics
1 answer:
Nutka1998 [239]3 years ago
3 0

Answer:

Step-by-step explanation:

we are given that given that  1/2T = 60 so T=120°  so we also know R = 120 °

then W and S are also the same angle so 2z +240 = 360

2z = 120

z=60

W =60 °

S = 60 °

which makes sense b/c the small triangles also tell us that the sharp angles of the small triangles are 30 °  for the  30 , 60 90 triangle.

so by complementary angle we know that c = 60 °

we also know that a = 12 b/c all the small triangles are identical.  

we also know that b= 90 °  also by complementary angle

we can also solve for length of SW and RT

cos(30)=adj / Hyp  

12*Cos(30) = adj

12*\sqrt{3} /2 = adj

but the adjacent side is 2 times for SW so

SW = 12 \sqrt{3}

for RT

sin(30) = Opp / hyp

12 * Sin(30) = Opp

12 * 1/2 = opp

but RT is times 2 again, sooo

RT = 12

you can also solve for the area of SRWT = 12 *12 = 144 units  (what ever unties 12 is in)   hmmm

That's all I can think of to solve for now  :)

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Is the collection of US museums well-defined and therefore is not a set
taurus [48]

Answer:

be “well-defined” the collection description would have to settle all such questions. ... All these questions indicate the statement is ambiguous, i.e., it is not clear which students are members of this collection, hence, the collection is not well-defined.

4 0
3 years ago
A new house was purchased for $304 000. after 3 years, it's market value had increase by 28%. What is the new market value if th
loris [4]

Answer:

389,120

Step-by-step explanation:

8 0
3 years ago
Robert needs to cut four shelves from a board that is 2.5 meters long. The second shelf is 18 cm longer than twice the length of
g100num [7]
STEP 1:
convert meters to centimeters
100 cm= 1 meter

= 100 cm/m * 2.5 m
= 250 cm


STEP 2:
x= length of first shelf
2x+18= length of second shelf
x-12= length of third shelf
x+4= length of fourth shelf

since the whole board has to be used, add lengths of all shelves and set it equal to the whole length of the board (250 cm).

x + (2x+18) + (x-12) + (x+4)= 250 cm
combine like terms
5x + 10= 250
subtract both sides by 10
5x= 240
divide both sides by 5
x= 48


STEP 3:
find length of second shelf
= 2x + 18
= 2(48) + 18
= 114 cm


CHECK:
x + (2x+18) + (x-12) + (x+4)= 250
48 + (2(48)+18) + (48-12) + (48+4)= 250
48 + (96+18) + 36 + 52= 250
48 + 114 + 36 + 52= 250
250= 250


ANSWER: Shelf two is 114 cm.

Hope this helps! :)
8 0
3 years ago
A circular spinner for a game has a radius of 5 cm. The probability of winning on one spin of this spinner is $\frac{2}{5}$. Wha
irina [24]

The total area of a circle is pi * radius^2

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4 0
3 years ago
Un cable guía de 600 pies esta sujeto a la parte superior de una torre de comunicaciones. Si el cable forma un ángulo de 65° con
natita [175]

Answer:

La torre tiene 543.78 pies de altura.

Step-by-step explanation:

Podemos pensar en esta situación como si fuera un triángulo rectángulo, donde el cable es la hipotenusa y la torre es uno de los catetos. (Abajo se puede ver un dibujo de esta situación).

Nosotros queremos encontrar el valor de H, que es el cateto opuesto al ángulo conocido de 65°.

Entonces simplemente podemos usar la relación:

Sin(θ) = (cateto opuesto)/(hipotenusa)

donde:

cateto opuesto = H

θ = 65°

hipotenusa = 600 ft

sin(65°)  = H/600ft

sin(65°)*600ft = H = 543.78 ft

La torre tiene 543.78 pies de altura.

8 0
2 years ago
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