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2 years ago

Please answer, thank you. Image below.

Mathematics

1 answer:

vovikov84 [41]2 years ago

5 0

Answer:

Top Image: 56°

Bottom Image: 134°

Step-by-step explanation:

I'm not sure which image you have a question on, so I'll just solve both.

Top Image:

We know that the sum of the angles will add up to 180 and that the angles of the triangle are f, f, and 68°. Therefore, we can set up the following equation:

f + f + 68° = 180°

Solving this gets f = 56°

Bottom Image:

We know that the sum of the angles will add up to 180 and that the angles of the triangle are 23°, 23°, and g. Therefore, we can set up the following equation:

23° + 23° + g = 180°

Solving this gets g = 134°

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The length of a rectangle is five times it’s width if the area of the rectangle is 320m^2 find its perimeter

BlackZzzverrR [31]

Answer:

Perimeter of the rectangle = 96 meters.

Step-by-step explanation:

Let the width of the rectangle = K

So, the length of the rectangle = 5K

Area = 320 sq meters

Now, Area of a Rectangle = Length x Width

⇒ 320 = K x 5K

or, $5K^{2} = 320\\or, K^{2} = \frac{320}{5} = 64$

So, the vlue of K = 8 or, K = -8

But as K represents a length hence, K ≠ -8

So, the <u>width of the rectangle = 8 meters</u>

and the<u> length of the rectangle = 8 x 5 = 40 meters</u>

Now, Perimeter = 2(length + width)

= 2(8 + 40) = 96 meters.

So, the perimeter of the rectangle = 96 meters.

6 0

2 years ago

Write an equation in standard form of a quadratic function that has x-intercepts -2 and 5 and k=-4

bulgar [2K]

Answer:

-2x + 5 = -4k

Step-by-step explanation:

8 0

3 years ago

Match each description to its example.

kvv77 [185]

Answer:

if we have the point (x, y), a reflection over the x-axis give us the point (x, -y)

if we have the point (x, y), a reflection over the y-axis give us the point (-x, y)

if we have the point (x, y), a reflection across both axes give us the point (-x, -y)

1. (2, -3) → (-2, -3) ------- reflection across the y-axis

2. (2, -3) → (-3, 2) -------- not a reflection

3. (2, -3) → (-2, 3) ------ reflection across both axes

4. (2, -3) → (2, 3) ----- reflection across the x-axis

6 0

3 years ago

Un automóvil se desplaza 30 1/5 millas en 2/3 de hora. ¿Cuál es la velocidad promedio en millas por hora, del automóvil?

yarga [219]

Queremos encontrar la velocidad promedio de un automóvil dado que conocemos cuanto se desplaza y cuanto tarda en realizar ese desplazamiento. Veremos que la velocidad promedio es 45.3 millas por hora.

Recordar que definimos velocidad promedio como el cociente entre la distancia recorrida y el tiempo que se tarda en recorrer esa distancia.

Aca tenemos:

Desplazamiento = (30 + 1/5) cm

Tiempo = (2/3 horas)

Entonces la velocidad esta dada por:

$V = \frac{(30 + 1/5)mi}{2/3 h} = \frac{(151/5)mi}{2/3 h} = 45.3 mi/h$