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2 years ago

Can someone help me on this question? Thank you

Mathematics

1 answer:

lina2011 [118]2 years ago

8 0

Answer:

BAE

Step-by-step explanation:

A quarter circle (angle BAD) will have a measure of 360°/4 = 90°. An angle of 105° will be larger than 1/4 circle. The only angle on the diagram larger than BAD is BAE.

The measure of angle BAE is 105°.

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A large tank contains 350350 liters of a salt solution which has a concentration of 0.650.65 kilograms per liter. A salt solutio

Georgia [21]

Answer:

ss= 350350 × 0.65065 + 6060 x 0.808 x tt - (0.65065 + 6060/350350 x 0.808) 6060 x tt

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3 years ago

How many roots does a quadratic have if the discriminant if prime?

scZoUnD [109]

"The discriminant is prime?" I haven't heard that one before.

Here are the general rules:

1. a positive discriminant results in two real, unequal roots.

2. a zero discr. results in two real, equal roots.

3. a negative discr. results in two complex roots, which sometimes means two imaginary roots.

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3 years ago

How is the series 5+11+17…+251 represented in summation notation?

NISA [10]

Answer:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

Step-by-step explanation:

Given:

Series 5+11+17+...+251

To find:

Summation notation of the given series

Summation Notation:

$\displaystyle \large{\sum_{k=1}^n a_k}$

Where n is the number of terms and $\displaystyle \large{a_k}$ is general term.

First, determine what kind of series it is, there are two main series that everyone should know:

Arithmetic Series

A series that has common difference.

Geometric Series

A series that has common ratio.

If you notice and keep subtracting the next term with previous term:

11-5 = 6
17-11 = 6

Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.

Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:

<u>Arithmetic Sequence</u>

$\displaystyle \large{a_n=a_1+(n-1)d}$

Where $\displaystyle \large{a_n}$ is the nth term, $\displaystyle \large{a_1}$ is the first term and $\displaystyle \large{d}$ is the common difference: