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UNO [17]
3 years ago
10

Jay is measuring the sides and angles of a number of triangles looking for a triangle that is congruent to triangle XYZ below wh

ich set of side light has could come from a congruent triangle

Mathematics
1 answer:
sergey [27]3 years ago
7 0

Answer:

correct answer is B.

Step-by-step explanation:

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After sitting on a shelf for a while, a can of soda at room temperature (73 F) is placed inside a refrigerator and slowly cools.
Alona [7]

Answer:

Step-by-step explanation:

Use Newton's Law of Cooling here:

T(t)=T_s+(T_0-T_s)^{-kt

where T(t) is the temp of something after a certain amount of time, t, has gone by; Ts is the surrounding temp, and T0 is the initial temp. k is the constant of cooling. We need to first solve for this using the information given. Filling in what we know:

53=35+(73-35)^{-35k which can simplify a bit to

53=35+(38)^{-35k and 18=38^{-35k

Take the natural log of both sides:

ln(18)=ln(38)^{-35k

Taking the natural log allows us to pull that exponent down out front:

ln(18)=-35k*ln(38)

and now we can divide both sides by ln(38) to get

-35k = .794585 so

k = -.023

Now that have the value for k, we can go on to solve the rest of the problem which is asking us the temp of the soda after 70 minutes. Filling in using the k value and the new time of 70 minutes:

T(t)=35+(38)^{70(-.023) and

T(t)=35+(38)^{-1.61 and

T(t)=35+.0028612013 and

T(t) = 35 F, basically the temp of the fridge, which is not surprising!

5 0
3 years ago
C(x)=2x^2-400x+31,000
NemiM [27]
This is a quadratic so if you want to find the solutions, use the quadratic formula. Google quadratic formula and videos on it and how to use it will pop up.
7 0
3 years ago
A recipe calls for 1 ½ cups of flour, 2/3 cup of white sugar, and 1/3 cup of brown sugar. The recipe makes 6 servings. A) How ma
Goryan [66]
<span>A) How many cups of flour are there per serving? 

</span>1 ½ cups of flour --------<span>6 servings
?     cups of flour ------- 1 serving

      </span>1 ½ 
------------ 
        6 

= 3/2 x 1/6
= 1/4

answer: 1/4 cups of flour per serving

<span>B) how many total cups of sugar(white and brown) are there per serving?
</span>total white and brown: <span>2/3 + 1/3 = 3/3 = 1 cups (combine)

1 cup of sugar (white and brown) </span>--------6 servings
? cups of sugar (white and brown) ------ 1 serving

  1
-----  = 1/6
  6
answer: 1/6 cups of sugar (white and brown) per serving

<span> (c) Suppose you modify the recipe so that it makes 9 servings. How much more flour do you need for the modified recipe than you need for the original recipe?
</span>
3/2  cups of flour --------6 servings
? cups of flour -----------9 servings


  9 * 3/2             
-----------  
      6

= (13 1/2) / 6
= 2 1/4

2 1/4 ( 9 servings) - 1 1/2(6 servings) = 3/4 cups

answer: you need 3/4 more cups of flour

6 0
3 years ago
Read 2 more answers
What is 8 × 1 + 3 × 0.1 + 9 × 0.01 in standard form
emmasim [6.3K]

Answer:

0.216

Step-by-step explanation:

8 \times 1 \times 3 \times 0.1 \times 9 \times 0.01\\\\=(8\times1)(3\times0.1)(9\times0.01)\\\\=8(0.3)(0.09)\\\\=(8\times0.3)(0.09)\\\\=(2.4)(0.09)\\\\=2.4\times0.09\\\\=0.216

is this the standard form?

5 0
3 years ago
What is the area of the following trapezoid
nignag [31]

Answer:

d. 130

Step-by-step explanation:

3 0
2 years ago
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