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3 years ago

Pls help mark u brainlist

Mathematics

1 answer:

Molodets [167]3 years ago

8 0

Do what that person with the long explanation says it’s most likely right!!

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LT1 10th grade level

Anton [14]

Answer:

The distance between the pirate and the treasure can be found from the following relationship between ΔEAF and ΔABC;

$\overline{AE}$ / $\overline{AB}$ = $\overline{FA}$ / $\overline{AC}$ = $\overline{EF}$ / $\overline{BC}$

Step-by-step explanation:

From the question diagram, we have two triangles, ΔEAF and ΔABC;

The ratio of the lengths of the sides $\overline{AE}$ / $\overline{AB}$ = $\overline{FA}$ / $\overline{AC}$

∠EAF and ∠BAC are vertical angles, therefore ∠EAF = ∠BAC

Therefore, ΔEAF and ΔABC are similar triangles by Side-Angle-Side, SAS, rule of similarity which states that two triangles that have ratios of a pair of their corresponding sides and the two sides also form equal angles within each triangle, then the two triangles are similar

Therefore, the ratio of the each pair of corresponding sides of the two triangles are equal

We have;

$\overline{AE}$ / $\overline{AB}$ = $\overline{FA}$ / $\overline{AC}$ = 50 ft. /(100 ft.) = $\overline{EF}$ / $\overline{BC}$ = $\overline{EF}$ /120 ft.

$\overline{EF}$ = 120 ft. × 50 ft./(100 ft.) = 60 ft.

$\overline{EF}$ = 60 ft.

The distance between the pirate and the treasure, $\overline{EF}$ = 60 ft.

4 0

3 years ago

Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack

LenaWriter [7]

Answer:

Clyde has 14 pencils in his backpack

Step-by-step explanation:

Let x be the number of pencils that Clyde has in his backpack.

We can translate this statement “Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack” mathematically like this :

$17=5+\frac{6}{7} x \\\\ \Longleftrightarrow 17-5=\frac{6}{7} x \\\\ \Longleftrightarrow 12=\frac{6}{7} x \\ \\\Longleftrightarrow x=\frac{12\times 7}{6} =14$

6 0

2 years ago

Read 2 more answers

Explain why rational exponents are not defined when the denominator of the exponent in lowest terms is even and the base is nega

Mice21 [21]

The correct answer is: 
we cannot take an even root of a negative number in the real number system.

Explanation: 
A rational exponent is another way of writing a root. The denominator of the rational exponent will be the root, and the numerator will be the power of the number under the root. If the denominator is even, this means we are taking an even root, such as square root, 4th root, etc.
If the base is negative, this means we want an even root of a negative number.
Any even root can be broken down into a series of square roots, done one after another.
However, we cannot take the square root of a negative number using real numbers; this is because a square root is a number multiplied by itself to get the answer; a negative times a negative is a positive, as is a positive times a positive, so there is no way to multiply the same number twice and get a negative.

5 0

3 years ago

Read 2 more answers

How do I find the operation to do in math word problems

Advocard [28]

Answer:

There is usually a word that represent the operation for example difference to subtract

Step-by-step explanation:

7 0

3 years ago

A) A cylindrical tank has a radius of 3 m and a height of 12 m. What is the volume of the tank?

joja [24]

Answer:

339.29 m³

Step-by-step explanation:

π · r² · h

π · 3² · 12

π · 9 · 12

π · 108

6 0

3 years ago