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Aleksandr [31]
3 years ago
6

A letter is selected from the words in accommodation list all the possible outcomes

Mathematics
1 answer:
Luda [366]3 years ago
8 0
Since a letter is selected from      a c c o m m o d a t i o n

Possible outcome:

It could be any of the thirteen letters. There are thirteen possibilities.

a      c     c     o       m     m     o     d     a    t      i     o     n          
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Find the product of the following expression.<br> 4(3x2 - 4x + 5)
Papessa [141]

Answer:

-16x + 44

Solution:

4(3×2 - 4x + 5)

= 4( 6 - 4x + 5)

=4( -4x + 11)

= -16x + 44

4 0
2 years ago
Which of the following is the correct classification of ∆mnp if m&lt;m=35° and m&lt;p=47°?​
AnnZ [28]

Answer:

D. Obtuse.

Step-by-step explanation:

We are told that in \Delta MNP m\angle M=35^o and m\angle P=47^o. We are asked to classify our given \Delta MNP.

We can see that angle M and angle P are acute angles as their measure is less than 90 degrees.

Let us find the measure of angle P using angle sum property of triangles, which states that sum of interior angles of a triangle is 180 degrees.

So we can set an equation as:

m\angle M+m\angle P+m\angle N=180^o

Upon substituting our given values we will get,

35^o+47^o+m\angle N=180^o

82^o+m\angle N=180^o

82^o-82^o+m\angle N=180^o-82^o

m\angle N=98^o

As measure of angle N is 98 degrees, so angle N is an obtuse angle.

Since a triangle having an angle that measures more than 90 degrees is called an obtuse triangle, therefore, \Delta MNP is an obtuse triangle and option D is the correct choice.

4 0
3 years ago
Read 2 more answers
Can someone help me plz .. Use these lengths to find cos B, tan B, and sin B.
lara [203]

Answer:

cos B = \frac{7}{25}

tan B = \frac{24}{7}

sin B = \frac{24}{25}

Step-by-step explanation:

In the right triangle, there are three sides and 2 acute angles

  • Hypotenuse ⇒ the opposite side of the right angle
  • Leg1 and Leg 2 ⇒ the sides of the right angle

The trigonometry functions of one of the acute angles Ф are

  • sin Ф = opposite leg/hypotenuse
  • cos Ф = adjacent leg/hypotenuse
  • tan Ф = opposite leg/adjacent leg

In Δ ACB

∵ ∠C is the right angle

∴ AB is the hypotenuse

∵ AC is the opposite side of ∠B ⇒ leg1

∵ CB is the adjacent side of ∠B ⇒ leg2

→ By using the ratios above

∴ cos B = \frac{CB}{AB} , tan B = \frac{AC}{CB} , sin B = \frac{AC}{AB}

∵ CB = 7, AB = 25, AC = 24

∴ cos B = \frac{7}{25}

∴ tan B = \frac{24}{7}

∴ sin B = \frac{24}{25}

6 0
2 years ago
Rectangle JKLM is similar to rectangle WXYZ . What is the scale factor of a dilation from JKLM to WXYZ ? Enter your answer in th
Ierofanga [76]
The answer is 1.5 because I just took the test.
4 0
3 years ago
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a painter uses 4 gallons of paint to paint each apartment in a building. if the painter has 45 gallons of paint, how many apartm
DochEvi [55]
The painter painted 11 apartments because 4 doesn’t go into 45, so the closest think to 45 is 4 x 11 (44). the painter will have 1 gallon left.
7 0
2 years ago
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