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likoan [24]
1 year ago
12

The dashed triangle is the image of the pre-image solid triangle.

Mathematics
2 answers:
grigory [225]1 year ago
8 0

The dashed triangle is the image of the pre-image solid triangle.

It's enlargement so scale factor has to be greater than 1

SF = 6/3

SF = 2

Answer

The scale factor used to create the dilation is 2

Viefleur [7K]1 year ago
5 0

Answer:

2

Step-by-step explanation:

Just took the test

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Find the indicated values: <br> Given: OA=AC=2<br> AB is a tangent line<br> Find: AB
nlexa [21]

Step-by-step explanation:

OA=AC=OC=2 (equal triangle)

which means angle O =60 degree

tan 60 = AB / 2

AB = 2 tan 60 =

2 \sqrt{3}

3 0
1 year ago
If a baker doubles a recipe that calls for 6-2/3 cups of flour. How many cups will be needed in all?
nadya68 [22]
Hey there!

The easiest way I could think to do this is by converting your mixed number to an improper fraction and multiplying the fraction by 2, or 2 over 1. 

6 \frac{2}{3}  = 6*3+2 =  \frac{20}{3}

\frac{20}{3} *  \frac{2}{1}

To multiply fractions, you can just multiply the numerators and denominators and simplify, if applicable. 

\frac{20}{3} * \frac{2}{1} = \frac{40}{3}

Since you can't simplify this fraction in its improper form, just convert it back into a mixed number. 

\frac{40}{3} = 13 \frac{1}{3}

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Hope this helped you out! :-)
4 0
1 year ago
Read 2 more answers
1. Mac is about to sue his contractor who promised to install a water tank that holds 1880 gallons of water. Mac knows that 1880
zzz [600]

Answer:

option C.

Yes, the water tank is about 245 cubic feet too small

Step-by-step explanation:

step 1

Determine the volume of the cylindrical tank

we know that

The volume of a cylinder is equal to

V=\pi r^{2} h

Remember that

1\ ft=12\ in

we have

r=6\ ft\\h=2\ ft\ 2\ in=2+(2/12)=\frac{13}{6}\ ft

assume

\pi =3.14

substitute

V=(3.14)(6)^{2}(\frac{13}{6})

V=244.92\ ft^3

Compare with 251 cubic feet

244.92\ ft^3 < 251\ ft^3

therefore

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8 0
2 years ago
Marginal cost At a certain factory the marginal cost is 3(q-4)^2 dollars per unit when the level of production is q units.
viktelen [127]

Answer:

a.) C(q) =  -(1/4)*q^3 +  3q^2  -  12q + OH          b.) $170

Step-by-step explanation:

(a) Marginal cost is defined as the decrease or increase in total production cost if output is increased by one more unit. Mathematically:

Marginal cost (MC) = change in total cost/change in quantity

Therefore, to derive the equation for total production cost, we need to integrate the equation of marginal cost with respect to quantity. Thus:

Total cost (C) = Integral [3(q-4)^2] dq = -(1/4)*(q-4)^3 + k

where k is a constant.

The overhead (OH) = C(0) = -(1/4)*(0-4)^3 + k = -16 + k

C(q) = -(1/4)*(q^3  - 12q^2  + 48q - 64) + k = -(1/4)*q^3 +  3q^2  -  12q  -16 + k

Thus:

C(q) =  -(1/4)*q^3 +  3q^2  -  12q + OH

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7 0
1 year ago
The diagonals of the figure below represent the support beams for a patio covering.
Bas_tet [7]

Answer: B 5 and 5 square root 3

Step-by-step explanation:

3 0
2 years ago
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