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3 years ago

A rectangular box has a base measuring a by a meters and height of b meters.

Mathematics

1 answer:

Dafna1 [17]3 years ago

3 0

Answer:

2a(a+2b) square metres

Step-by-step explanation:

surface area of a box = 2(lw+wh+lh)

l is the length = a metres

w is the width = a mtres

h is the height = b metres

Substitute into the formula

surface area of a box = 2(a*a+ab+ab)

surface area of a box = 2(a² + 2ab)

surface area of a box = 2a(a+2b) square metres

This give sthe surface area of the box

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KLMN - parallelogram LF ⊥ KN , LD ⊥ NM m∠FLD = 35° Find: Angles of KLMN

sertanlavr [38]

The question is four parts, It is required the angles of parallelogram KLMN

So, It is required ⇒ ∠K , ∠L , ∠M and ∠N
See the attached figure which represents the explanation of the problem
========================
Part (1): Find ∠N:
==============
in the shape FLDN
∵ LF ⊥ KN ⇒⇒⇒ ∴ ∠LFN = 90°
∵ LD ⊥ NM ⇒⇒⇒ ∴ ∠LDN = 90°
∵ The sum of all angels of FLDN = 360°
∵ ∠FLD = 35°
∴ ∠FLD + ∠LDN + ∠DNF + ∠LFN = 360°
∴ 35° + 90° + ∠DNF + 90° = 360°
∴ ∠DNF = 360° - ( 90° + 90° + 35°) = 360° - 215° = 145°

∴ The measure of angle N = 145°
=============================
Part (2): Find ∠M:
==============
∵ KLMN is parallelogram , ∠N = 145°
∴ The angles N and M are supplementary angles ⇒ property of the parallelogram
∴ ∠M + ∠N = 180°
∴ ∠M = 180° - ∠N = 180° - 145° = 35°

∴ The measure of angle M = 35°

================================

Part (3): Find ∠L:
==============
∵ KLMN is parallelogram , ∠M = 35°
∴ The angles N and M are supplementary angles ⇒ property of the parallelogram
∴ ∠M + ∠KLM = 180°
∴ ∠KLM = 180° - ∠M = 180° - 35° = 145°
OR ∠KLM = ∠N = 145° ⇒⇒⇒ property of the parallelogram

∴ The measure of angle KLM = 145°
===================================

Part (4): Find ∠K:
==============∵ KLMN is parallelogram , ∠N = 35°
∴ The angles N and M are supplementary angles ⇒ property of the parallelogram
∴ ∠K + ∠N = 180°
∴ ∠K = 180° - ∠N = 180° - 145° = 35°
OR ∠K = ∠M = 35° ⇒⇒⇒ property of the parallelogram

∴ The measure of angle K = 35°

6 0

3 years ago

I need help with this problem

meriva

I'm sorry, I don't see the question. Could you please retake the photo in better quality so I could answer it? Thanks!

6 0

4 years ago

______________ can hold multiple values within a single variable and is defined by having values between square brackets.

lorasvet [3.4K]

The term that completes the blank and fits the description is an array

<h3>How to complete the blank?</h3>

From the question, we understand that:

The variable term holds multiple values
It uses square brackets
it is defined by a single variable

The term that fits the above highlights is array

Hence, the complete statement is:

array can hold multiple values within a single variable and is defined by having values between square brackets.

Read more about arrays at:

brainly.com/question/22364342

#SPJ4

8 0

2 years ago

PLZ HELP 80 POINTS

Yanka [14]

<h3>Answer:</h3>

56 m²

<h3>Explanation:</h3>

The altitude from point B to segment CP is the same for ∆BMP as for ∆BMC. Since both have the same base length (MP = MC), both have the same area, 21 m². Hence the area of ∆CPB is (21+21) m² = 42 m².

The altitude from point C to segment AB is the same for ∆CPA as for ∆CPB, so the areas of those triangles will have the same proportion as the base segments AP and BP. That is, ...

... AACPA : ACPB = PA : PB = 1 : 3

The ratio of ACPB to the total is then ...

... ACPB : (ACPA +ACPB) = 3 : (1+3) = 3 : 4

The area of ∆ABC is the total of the areas of the smaller triangles CPA and CPB, so we have

... ACPB : AABC = 3 : 4

... AABC/42 m² = 4/3 . . . . . rearranging slightly and substituting for ACPB

... AABC = (42 m²)×(4/3) . . . . multiply by the denominator

... AABC = 56 m²

6 0

3 years ago

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Find two consecutive even integers such

lina2011 [118]

Answer:

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3 years ago