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vampirchik [111]
3 years ago
7

At a pie-eating contest, Brandon got through 3/5 of a pie before time was called; Mimi finished just 2/5 of a pie. How much more

pie did Brandon eat than Mimi?
Mathematics
1 answer:
skad [1K]3 years ago
8 0

Answer:

1/5

Step-by-step explanation:

3/5 - 2/5 = 1/5

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Point A is at (2, -8) and point C is at (-4, 7).
Dahasolnce [82]

Answer:

(-2, 2)

Step-by-step explanation:

<u>Given:</u>

  • Point A is at (2, -8) and point C is at (-4, 7)

<u>Difference of coordinates:</u>

  • Δx = 2 - (-4) = 6
  • Δy = - 8 - 7 = - 15

<u>The ratio of AB to AC is 2:1. So:</u>

  • AB = 2*AC/3 and BC = AC/3

<u>Then coordinates of point B should be 2/3 from the point A:</u>

  • x = 2- 6*2/3 = 2 - 4 = -2
  • y = - 8 - (-15)*2/3 = -8 + 10 = 2

So point B has coordinates of (-2, 2)

7 0
3 years ago
A slide 4.4 m long makes an angle of 33 with the ground. How high is the top of the slide above the ground
svp [43]
Using the information given we will only need the Cosine and Sine equations.  i made a diagram (cant take a picture, in my study hall) labeled the sides of the triangle A, B, and C.  with C as the hypotenuse, A as the Opposite, and B as the adjacent (will not be needed as A is the height). i will be rounding the th nearest thousandth. 
Using Sine (SIN=Opposite/Hypotenuse), we can find A.

SIN(33)=A/4.4

SIN(33)≈.545

.545≈A/4.4

now multiply each side by 4.4 to get rid of the division

(.545*4.4)≈((A/4.4)4.4)

2.396≈A
 

so the answer would be that the slide is about 2.396 M high
5 0
3 years ago
Solve similar triangles can someone please answer
Black_prince [1.1K]

Answer:

CB= 4

Step-by-step explanation:

the triangles are in AA similarity.

AB/AD = BC/DE

4/12 = x/12

CROSS MULTIPLY;

x = 48/12

x = 4

5 0
3 years ago
(Geometry) The answers are x = 15 and y = 9 but I don't know how. Help me understand this
Kryger [21]

Check the picture below.

\bf \stackrel{\measuredangle DAC}{4y+2x}~~=~~\stackrel{\measuredangle BCA}{9y-x}\implies 2x=5y-x\implies 3x=5y\implies \boxed{x=\cfrac{5y}{3}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle DAB}{[(4y+2x)+35]}~~+~~\stackrel{\measuredangle ADC}{5x+4}~~=~~180\implies 4y+2x+5x+39 = 180 \\\\\\ 4y+7x+39=180\implies 4y+7x=141\implies \stackrel{\textit{substituting "x"}}{4y+7\left( \boxed{\cfrac{5y}{3}} \right)} = 141

\bf 4y+\cfrac{35y}{3}=141\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3\left( 4y+\cfrac{35y}{3} \right)=3(141)}\implies 12y+35y=423 \\\\\\ 47y=423\implies y=\cfrac{423}{47}\implies \blacktriangleright y = 9 \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that}}{x=\cfrac{5y}{3}}\implies x = \cfrac{5(9)}{3}\implies \blacktriangleright x = 15 \blacktriangleleft

4 0
3 years ago
4. Rephrase the following statements in standard "if.. then" form:
Firdavs [7]

Answer:

See step-by-step explanation.

Step-by-step explanation:

a) If the old TV breaks down then we are buying a new TV.

b) If you have a good credit score in the United States, then you obtain a loan.

c) If you don't make me a better offer then I will keep my current job.

d) If we observe faster than light travel then we would question relativity theory.

8 0
3 years ago
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