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GenaCL600 [577]

3 years ago

15

when angles are complementary, the sum of their measures is 90 degrees. Two complementary angles have measures of 2x-10 degrees

and 3x-10 degrees. Find the measures of each angle.

1 answer:

tekilochka [14]3 years ago

6 0

(2x-10)+(3x-10)=90
(2x+3x)+(-10-10)=90
(5x)+(-20)=90
5x=110
X=22
The first is 34, the second is 56.

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What is the value of a?

Anna007 [38]

Answer:

15 units

Step-by-step explanation:

By using the Pythagoras Theorem,

C^2 = A^2 + B^2

Substitute in the given values,

25^2 = a^2 + 20^2

625 = a^2 + 400

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Hope this too helped! ^^

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3 years ago

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Mezclas de alimentos. Un chef repostero creó una solución de azúcar de 50 onzas constituida por 34% de azúcar con una solución d

Kay [80]

Answer:

Las cantidades empleadas para su preparación son: 15 onzas de solución al 20 % y 35 onzas de solución al 40 %.

Step-by-step explanation:

Podemos estimar la proporción de ingredientes mediante el siguiente promedio ponderado:

$0.34= \frac{0.2\cdot m_{A} + 0.4\cdot m_{B}}{m_{A}+m_{B}}$ (1)

Donde:

$m_{A}$ - Masa de la solución al 20 %, en onzas.

$m_{B}$ - Masa de la solución al 40 %, en onzas.

Podemos simplificar la formula como sigue:

$0.2\cdot x + 0.4\cdot (1-x) = 0.34$ (2)

Donde $x$ es la proporción de la solución al 20 % dentro de la solución final, sin unidades.

Ahora resolvemos para $x$ en (2):

$0.4-0.2\cdot x = 0.34$

$0.2\cdot x = 0.06$

$x = \frac{0.06}{0.2}$

$x = 0.3$

Este resultado quiere decir que la solución al 34 % es el resultado de 30 % de la solución al 20 % y 70 % de la solución al 40 %. Si conocemos que la solución final tiene una masa de 50 onzas, entonces las cantidades empleadas para su preparación son: 15 onzas de solución al 20 % y 35 onzas de solución al 40 %.

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3 years ago

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icang [17]

Answer:

Step-by-step explanation:

b because you are trying to find all the fruit he ate, so during lunch and after diner.

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3 years ago

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A team of three students are working on a language-learning app; they need to develop 300 micro-lessons and 300 micro-tests befo

Olegator [25]

Answer: a) 15 b)

Step-by-step explanation:

Let X be the number of days:

a)

For LESSONS:

Jordan does 10 / day ( 10*X)

Marco 5 / day ( 5*X)

Junyi 5 / day ( 5*X)

For TESTS:

Jordan does 5 / day ( 5*X)

Marco 10 / day ( 10*X)

Junyi 8 / day ( 8*X)

for each they need a total of 300

a) $10X+5X+5X=300 => 20X = 300 => X = 15$ days for the lessons

b) $5X+10X+8X = 300 => 23X = 300 => X = 13.04$ days for the tests

so they need 15 days to finish both tasks

now if Junyi gets sick we just eliminate his contribution

a) $10X+5X=300 => 15X = 300 => X = 20$ days for the lessons

b) $5X+10X = 300 => 15X = 300 => X = 20$ days for the tests

so in 20 days they will finish without him

If jordan works 10 hours a day, we just replace him with 10/24

a) $10(10/24)+5X+5X= 300 => X = 29.58$ days for the lessons

b) $5(10/24)+10X+8X = 300 => X = 16.51$ days for the tests

so at the end to complete both tasks they need 29.58 days

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3 years ago