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lorasvet [3.4K]
3 years ago
13

Calculate the product of 1/6 and 1/5

Mathematics
2 answers:
Blababa [14]3 years ago
5 0
\frac { 1 }{ 6 } \cdot \frac { 1 }{ 5 } \\ \\ =\frac { 1\cdot 1 }{ 6\cdot 5 } \\ \\ =\frac { 1 }{ 30 }
Fofino [41]3 years ago
4 0
1/6 X 1/5 = 1/30. All you have to do is use regular multiplication and put the answers in fractions, you don't even need a calculator
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Consider the two triangles.
GuDViN [60]

Answer:

(A)Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.

\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}

Step-by-step explanation:

In Triangles WUV and XZY:

\angle VUW$ and \angle YXZ$ are congruent. \\\angle U W V$ and \angle X Z Y$ are congruent.\\ \angle U V W$ and \angle Z Y X$ are congruent.

Therefore:

\triangle UWV \cong  \triangle XZY

To show that the triangles are similar by the SSS similarity theorem, we have:

\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}

As a check:

\dfrac{UW}{XZ}=\dfrac{40}{32}=1.25\\\\\dfrac{WV}{ZY}=\dfrac{60}{48}=1.25\\\\\dfrac{UV}{XY}=\dfrac{50}{40}=1.25

The correct option is A.

4 0
3 years ago
Which system of equations is graphed below?
algol [13]

(Pls give brainliest! :D)

Answer:

<em>B</em>

Step-by-step explanation:

<em>You know that the graph intercepts at the point of (4,-2)</em>

<em />

<em>Where x = 4 and y = -2.</em>

<em />

<em>This means that whenever you plug a value of x in the equation it should give the value of y.</em>

<em />

<em>For example when you plug x= 4 into the equation (B), it should look like this.</em>

<em />

<em>4- y = 6, solving for y gives us the value negative 2.</em>

<em />

<em>This means that it does give us this point, however, as the graph shows us, both lines meet at the point which means that both equation should give us this point.</em>

<em />

<em>If we substitute x = 4 in the second equation of b, we should be able to get 3(4) + 4y = 4. Solving for y gives us -2.</em>

<em />

Hope this helps!

-<em>Yumi</em>

4 0
3 years ago
Read 2 more answers
The semicircle shown at left has center X and diameter W Z. The radius XY of the semicircle has length 2. The chord Y Z has leng
gladu [14]

{\bold{\red{\huge{\mathbb{QUESTION}}}}}

The semicircle shown at left has center X and diameter W Z. The radius XY of the semicircle has length 2. The chord Y Z has length 2. What is the area of the shaded sector formed by obtuse angle WXY?

\bold{ \red{\star{\blue{GIVEN }}}}

RADIUS = 2

CHORD = 2

RADIUS --> XY , XZ , WX

( BEZ THEY TOUCH CIRCUMFERENCE OF THE CIRCLES AFTER STARTING FROM CENTRE OF THE CIRCLE)

\bold{\blue{\star{\red{TO \:  \: FIND}}}}

THE AREA OF THE SHADED SECTOR FORMED BY OBTUSE ANGLE WXY.

\bold{  \green{ \star{ \orange{FORMULA \:  USED}}}}

AREA COVERED BY THE ANGLE IN A SEMI SPHERE

AREA = ANGLE   \: \: IN  \: \:  RADIAN  \times RADIUS

\huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}

Total Area Of The Semi Sphere:-

AREA =   \pi \times radius  \\  \\ AREA = \pi \times 2 = 2\pi

Area Under Unshaded Part .

Given a triangle with each side 2 units.

This proves that it's is a equilateral triangle which means it's all angles r of 60° or π/3 Radian

So AREA :-

AREA =  \frac{\pi}{3}  \times radius \\  \\ AREA =  \frac{\pi}{3}  \times 2 \\  \\ AREA =  \frac{2\pi}{3}

\green{Now:- } \\  \green{ \: Area  \: Under \:  Unshaded \:  Part }

Total Area - Area Under Unshaded Part

Area= 2\pi -  \frac{2\pi}{3}  \\ Area =  \frac{6\pi - 2\pi}{3}   \\ Area =  \frac{4\pi}{3}  \:  \: ans

\red \star{Thanks \:  And  \: Brainlist}  \blue\star \\  \green\star  If \:  U  \: Liked \:  My  \: Answer \purple \star

5 0
3 years ago
Check the picture please if you're good at math!!
Jet001 [13]

Answer:

A

Step-by-step explanation:

The triangles aren't similar.

The triangles share a side so we cant use anything involving SSS SAS.

The triangles has only known congruent angle so we cant use AA.

5 0
3 years ago
A cylinder has a circular base with a radius that measures 9 inches. Determine the diameter of the base of the cylinder. 3 inche
yarga [219]
It is 18 because the radius is half the diameter and 9 x 2 = 18.
4 0
3 years ago
Read 2 more answers
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