MATHEMATICS HIGH SCHOOL

What is the perimeter of a trapezoid having side lengths of 20 ft, 20 ft, 26 ft and 18 ft?

Answers

Answer 1
Answer: just add all of the numbers up and you have your answer
Answer 2
Answer: 20 + 20 + 26 + 18 = 84 ft

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The width of a rectangle is three units less than the length. The area of the rectangle is 4 units. What is the length, in units, of the rectangle

Answers

length is 4

area= l*w

4-3=1

4*1= 4

Identify the explanatory and response variables in the following situation:There is a strong negative correlation between latitude above the equator and average temperature on December 21.

A: Explanatory: Latitude
Response: Daylight hours
B. Explanatory: Latitude
Response: Average temperature
C. Explanatory: Daylight hours
Response: Latitude
D. Explanatory: Time of year
Response: Daylight hours

Answers

Negative correlation refers to an inverse relationship between two variables. When one variable increases, the other decreases.

The variables are latitude and average temperature.

The explanatory variable is latitude and the response is the average temperature. Choice B.

As the latitude increases, the average temperature decreases. This is a strong negative correlation of between the two variables.
The best answer would be letter B. The explanatory variable in the situation given above would be the latitude, while the response variable would be the average temperature. The explanatory variable is another term for the independent variable while the response variable is another term for dependent variable.

Erica knits 18 squares on monday. She knits 7 more squares each day for the rest of the week . how many squares does Erica have on friday?

Answers

Monday 18 + Tuesday +7 Wednesday +7 Thursday +7 Friday +7 = 46

The sum of two numbers is 24 and the quotient is three. what are the two numbers?

Answers

a + b = 24...a = 24 - b
a/b = 3

(24 - b) / b = 3...multiply both sides by b
(24 - b) = 3b
24 = 3b + b
24 = 4b
24/4 = b
6 = b

a + b = 24
a + 6 = 24
a = 24 - 6
a = 18

so ur numbers are 18 and 6

What is the value of a if (2a +3) - (4a-8)= 7

Answers

( 2a + 3 ) - ( 4a - 8 ) = 7
2a + 3 - 4a + 8 = 7
-2a + 11 = 7 
-2a = -4
a = -4 / -2
a = 2

Un topografo situado en un punto c localiza dos puntos a y b en los lados opuestos de un lago . Si el punto c esta situado a 5km de a y 8 km de b y ademas el angulo formado en el punto c es de 36 grados . Calcular el ancho del lago

Answers

The width of the lake is approximately 4.93 kilometers.

To calculate the width of the lake, you can use trigonometry. You have a triangle with one side of 5 km (from point C to point A), another side of 8 km (from point C to point B), and an included angle of 36 degrees at point C.

You can use the law of cosines to find the third side, which is the width of the lake (let's call it "x"). The law of cosines states:

c^2 = a^2 + b^2 - 2ab * cos(C)

Where:

c is the side you want to find (the width of the lake, in this case).

a is the side opposite to angle A (5 km).

b is the side opposite to angle B (8 km).

C is the included angle at point C (36 degrees).

So, plug in the values:

x^2 = 5^2 + 8^2 - 2 * 5 * 8 * cos(36 degrees)

Now, you can solve for x:

x^2 = 25 + 64 - 80 * cos(36 degrees)

x^2 = 89 - 80 * cos(36 degrees)

Now, you'll need to calculate the cosine of 36 degrees, which is approximately 0.809.

x^2 = 89 - 80 * 0.809\nx^2 = 89 - 64.72\nx^2 = 24.28

Now, take the square root of both sides to find the width of the lake:

x ≈ √24.28

x ≈ 4.93 km

So, the width of the lake is approximately 4.93 kilometers.

for such more question on triangle

brainly.com/question/1058720

#SPJ2

Hi mods, I do have a link in this answer but it is a link to the spanish version of brainly since this user seems to speak spanish.

Por favor, traduzca su pregunta al inglés o encuentre la versión en español de Brainly (https://brainly.com.br/ o https://brainly.lat/.)

Estoy usando el traductor de google, lo siento por el mal español

ver diagrama adjunto abajo (el asombrosamente dibujado)

podemos formar un triangulo

Usa la ley de los cosenos del segundo apego.

Queremos encontrar el valor de c que representa el ancho del lago

En este problema, a=5, b=8, y C=36°

c^2=a^2+b^2-2abcos(C)

c=√(a^2+b^2-2abcos(C))

c=√(5^2+8^2-2(5)(8)cos(36^o))

c=√(25+64-80cos(36^o))

c=√(89-80cos(36^o))

c≈4.92734 km


el ancho del lago es de aproximadamente 4.93km
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