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3 years ago

JUST (No.3) PLEASE! NOT (No.2)

Mathematics

1 answer:

Eva8 [605]3 years ago

5 0

B)Emily either switched the signs for no reason or solved it in the incorrect order

C) The sudent solved the equation in an incorrect order. Emily solved the first, then third, then second, which was the incorrect order. Edgar solved the thirst root, then second, then third, thus he is correct.

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Industrial chemicals are stored in 55-gallon drums. The radius of the drum is 12 inches, and the height is 32 inches. what is th

Drupady [299]

Answer:

The surface area of the drum is 3317.5218 square inches.

Step-by-step explanation:

Drum's have a cylindrical form, therefore in order to calculate its surface area we need to apply the correct formula, as shown below:

$area = 2*\pi*r^2 + 2*\pi*r*h$

Where the first term of the sum is the area of the lid and bottom of the drum and the second term is the area of the walls of the drum, r is the radius and h is the height. Applying the data from the problem, we have:

$area = 2*\pi*12^2 +2*\pi*12*32\\\\area = 3317.5218 \text{ square inches}$

The surface area of the drum is 3317.5218 square inches.

4 0

3 years ago

Which statements are true about ΔJKL and ΔLMN? Select all that apply.

svp [43]

Answer:

A. ΔJKL and ΔLMN have only one pair of angles that are congruent

C. ΔJKL has angles that measure $50^o,60^o,70^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

$m\angle KLJ=m\angle MLN$ ----> by vertical angles

substitute the given values

$(6x-2)^o=(5x+10)^o$

solve for x

$6x-5x=10+2\\x=12$

step 2

Find the measure of the interior angles of triangle JKL

we have

$m\angle KLJ=(6(12)-2)=70^o$

$m\angle KJL=(5(12))=60^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle JKL=180^o-130^o=50^o$

therefore

Triangle JKL has angles that measure $50^o,60^o,70^o$

step 3

Find the measure of the interior angles of triangle LMN

we have

$m\angle MLN=(5(12)+10)=70^o$

$m\angle LMN=(6(12)-7)=65^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle LNM=180^o-135^o=45^o$

Triangle LMN has angles that measure $45^o,65^o,70^o$

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding angles of triangle JKL and LMN are not congruent

therefore

The triangles are not similar

<u><em>Verify each statement</em></u>

Part a) ΔJKL and ΔLMN have only one pair of angles that are congruent

The statement is true (see the explanation)

Part b) ΔJKL and ΔLMN have two pairs of angles that are congruent

The statement is false

Because have only one pair of angles that are congruent

Part c) ΔJKL has angles that measure $50^o,60^o,70^o$

The statement is true (see the explanation)

Part d) ΔLMN has angles that measure $50^o,60^o,70^o$

The statement is false

Because, Triangle LMN has angles that measure $45^o,65^o,70^o$

Part e) ΔJKL and ΔLMN are similar

The statement is false

Because, the corresponding angles are not congruent

6 0

3 years ago

F(x) = square root 2x

dezoksy [38]

$\\ \sf\longmapsto (f.g)(x)$

$\\ \sf\longmapsto f(x).g(x)$

$\\ \sf\longmapsto \sqrt{2x}.\sqrt{50x}$

$\\ \sf\longmapsto \sqrt{100x^2}$

$\\ \sf\longmapsto 10x$

5 0

2 years ago

Santos walks 2 kilometers south and then a certain number of kilometers east. He ends 5 kilometers away from his starting positi

IgorLugansk [536]

Answer:

$\sqrt{21}\ km$ or $4.58\ km$

Step-by-step explanation:

we know that

Applying Pythagoras' Theorem, calculate how many kilometers eastward Santos walked

Let

x----> quantity of kilometers eastward that Santos walked

$x^{2}=5^{2}-2^{2}$

$x^{2}=21$

$x=\sqrt{21}\ km$ ----> exact value

$\sqrt{21}=4.58\ km$ -----> approximate value

6 0

3 years ago

Read 2 more answers

Find x. Type only the number.

VMariaS [17]

Answer:

Step-by-step explanation:

x= 75

been that the line is perpendicular (the two lines that intersect in such a way that they have a right angle, or a 90 degree angle, between them)

7 0

3 years ago