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Nikolay [14]
3 years ago
12

I need help please and thank you

Mathematics
2 answers:
sertanlavr [38]3 years ago
6 0
Corresponding parts of similar triangles are proportional. The area of a triangle is 1/2bh. So DEF’s height is.

6 = 0.5(4h)
12 = 4h
h = 3

We know, therefore, that the ratio of ABC to DEF’s dimensions is 12:4, 3:1. With this, we can deduce that ABC’s height is 9 ( 3 x 3), so ABC’s area is:

0.5(12 x 9) = 54 sq ft
Brums [2.3K]3 years ago
5 0

Well I THINK triangle ABC is just a stretched out version of triangle DEF.

To find the area of a triangle, you multiply base and height, and divide by 2.

Area of DEF is 6, so that means that (4 * x)/2 = 6.

6*2 = 12....

4 * x = 12........

4 * 3 = 12.

x = 3.

Comparing DEF to ABC: ABC's base is 3 times as long as DEF's. So that means the height must be three times as long.

3*3 = 9.

(12 * 9)/2 =54

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If 400 dpi equals 3.6 and 800 equals 1.8. What does 1000 dpi equal to?
laiz [17]

Answer: The numbers are showing in descending order 3.6-1.8= 1.8 = 1.8 is half of 3.6 - therefore if 1200 is half again = 0.8 then what lies between 1.8 and 0.8?  Answer to 1000 is 0.8 +5 = 1.3

Step-by-step explanation:

5 0
3 years ago
Which are correct representations of the inequality 6x ≥ 3 + 4(2x – 1)? Select three options.
topjm [15]

Answer:

hope it helps

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7 0
3 years ago
4 Ayla s is paid $15 20 per hour for a 34 hour week. April has the same weekly pay but works 38
VashaNatasha [74]

Find Atlas weekly pay by multiplying rate by hours:

15.20 x 34 = 516.80 a week.

Now to find Apri’s rate divide the weekly pay by hours:

516.80 / 38 =$13.60 per hour

5 0
3 years ago
A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of t
11Alexandr11 [23.1K]

Answer:

  • <u>Question 1:</u>      dm/dt=0.2m<u />

<u />

  • <u>Question 2:</u>     m=Ae^{(0.2t)}<u />

<u />

  • <u>Question 3:</u>      m=10e^{(0.2t)}<u />

<u />

  • <u>Question 4:</u>      m=10g<u />

Explanation:

<u>Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m</u>

<u></u>

a) By definition:  m'=dm/dt

b)  Given:  rate=0.2m

c) By substitution:  dm/dt=0.2m

<u>Question 2: Find the general solution of this equation. Use A as a constant of integration.</u>

a) <u>Separate variables</u>

     dm/m=0.2dt

b)<u> Integrate</u>

           \int dm/m=\int 0.2dt

            ln(m)=0.2t+C

c) <u>Antilogarithm</u>

       m=e^{0.2t+C}

       m=e^{0.2t}\cdot e^C

         e^C=A\\\\m=Ae^{(0.2t)}

<u>Question 3. Which particular solution matches the additional information?</u>

<u></u>

Use the measured rate of 4 grams per hour after 3 hours

            t=3hours,dm/dt=4g/h

First, find the mass at t = 3 hours

            dm/dt=0.2m\\\\4=0.2m\\\\m=4/0.2\\\\m=20g

Now substitute in the general solution of the differential equation, to find A:

          m=Ae^{(0.2t)}\\\\20=Ae^{(0.2\times 3)}\\\\A=20/e^{(0.6)}\\\\A=10.976

Round A to 1 significant figure:

  • A = 10.

<u>Particular solution:</u>

           

             m=10e^{(0.2t)}

<u>Question 4. What was the mass of the bacteria at time =0?</u>

Substitute t = 0 in the equation of the particular solution:

         m=10e^{0}\\\\m=10g

3 0
3 years ago
Critérios de divisibilidade dos números 2,3,4,5,6,8 e 10
san4es73 [151]

Step-by-step explanation:

Los criterios de divisibilidad nos ayudan a saber de antemano cuándo un número natural es divisible por otro.

Ser divisible significa que cuando dividimos estos números, el resultado será un número natural y el resto será igual a cero.

Presentaremos los criterios de divisibilidad por 2, 3, 4, 5, 6, 7, 8, 9 y 10.

Divisibilidad por 2

Cada número cuyo dígito unitario sea par será divisible por 2, es decir, los números que terminan en 0, 2, 4, 6 y 8.

Ejemplo

El número 438 es divisible por 2 ya que termina en 8, que es un número par.

Divisibilidad por 3

Un número es divisible por 3 cuando la suma de sus dígitos es un número divisible por 3.

Ejemplo

Verifica que los números 65283 y 91277 sean divisibles por 3.

Solución

Sumando los dígitos de los números indicados, tenemos:

6 + 5 + 2 + 8 + 3 = 24

9 + 1 + 2 + 7 + 7 = 26

Dado que 24 es un número divisible por 3 (8. 3 = 24), entonces 65283 es divisible por 3. El número 26 no es divisible por 3, por lo que 91277 tampoco es divisible por 3.

Divisibilidad por 4

Para que un número sea divisible entre 4, sus dos últimos dígitos deben ser 00 o divisibles entre 4.

Ejemplo

¿Cuál de las siguientes opciones tiene un número que no es divisible por 4?

a) 35748

b) 20500

c

) 97235 d) 70832

Solución

Para responder a la pregunta, verifiquemos los dos últimos dígitos de cada opción:

a) 48 es divisible por 4 (12. 4 = 48).

b) 00 es divisible por 4.

c) 35 no es divisible por 4, ya que no hay un número natural que multiplicado por 4 sea igual a 35.

d) 32 es divisible por 4 (8.4 = 32)

Entonces la respuesta es la letra c. El número 97235 no es divisible por 4. S

3 0
2 years ago
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