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2 years ago

Show ALL your calculations.

Mathematics

2 answers:

Nesterboy [21]2 years ago

8 0

Answer:

<DEB= 125 degrees

Step-by-step explanation:

To get this, you would need to know all 2 angles of the triangle.

To find the first angle, simply do 180-107 to get 73(because supplementary angles add up to 180 degrees).

Next, 180-52(given angle)-73 to get 55 because the 3 angles of a triangle add up to 180(triangle angle sum theory).

You would see that <DEB is part of another supplementary angle so, do 180-55 to get 125.

<DEB=125 degrees.

Bas_tet [7]2 years ago

5 0

Answer:

125 is the answer.

Step-by-step explanation:

Let's calculate all the internal angles in the triangle 1st.

∠ACE + ∠ECB =180

107 +∠ECB =180

∠ECB =73

The sum of internal angles in a triangle is 180 so

∠ECB +∠EBC +∠CEB =180

73+52+∠CEB=180

∠CEB=180-125

∠CEB = 55

Since CB is a line

∠CEB +∠DEB =180

55+∠DEB =180

∠DEB=125

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George wants to invest $20,000 One investment pays interest at a rate of 18 2/3% while another pays interest at a rate of 0.1872

xz_007 [3.2K]

Answer:

Investment with interest rate 0.1872 is better

Step-by-step explanation:

Given as :

George investment principal = $20,000

The Rate of interest (R1) = 18 $\frac{2}{3}$ % = $\frac{56}{3}$ %

I.e R1 = 18.67 %

Again The The Rate of interest (R2) = 0.1872 = 18.72 %

Let the time period for both rate of interest = 1 years

Now from compound interest method

Amount = Principal × $(1 + \frac{Rate}{100})^{Time}$

Or, A 1 = $ 20 , 000 × $(1 + \frac{18.67}{100})^{1}$

Or, A 1 = $ 20 ,000 × 1.1867

∴ A 1 = $ 23,734

And A 2 = $ 20 , 000 × $(1 + \frac{18.72}{100})^{1}$

Or, A 2 = $ 20 ,000 × 1.1872

∴ A 2 = $ 23,744

Hence From the calculation of both amount it is clear that , investment with interest rate 0.1872 is better . Answer

7 0

3 years ago

Una empresa exportadora de frutas vende dos variedades de frambuesas: estándar y de lujo. Una caja de freses estándar se vende e

aksik [14]

Answer:

83.33 cajas estándar de frambuesas y 51.67 cajas de lujo de frambuesas.

Step-by-step explanation:

Representemos el número de cajas como

A = caja estándar de frambuesas

B = caja de lujo de frambuesas

Caja estándar de frambuesas = $ 7 Caja de lujo de frambuesas = 10.

A + B = 135 ......... Ecuación 1

B = 135 - A

7A + 10B = 1100 ........... Ecuación 2

Sustituir

135 - A para B en la ecuación 2

7A + 10 (135 - A) = 1100

7A + 1350 -10A = 1100

7A - 10A = 1100-1350

-3A = - 250

A = 250/3

A = 83.33 cajas

Sustituye 83.33 por A en la ecuación 1

A + B = 135

83,33 + B = 135

B = 135 - 83.33 = 51.67 cajas

Por lo tanto, vendió,

83.33 cajas estándar de frambuesas y 51.67 cajas de lujo de frambuesas.

6 0

2 years ago

A company that sells widgets has to pay 1000 in one-time equipment fees and then it costs $\$0.50$ for each widget it makes. It

IgorLugansk [536]

Answer:

$445$

Step-by-step explanation:

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