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Snezhnost [94]
3 years ago
12

B) In the given figure, If AB = AC and < ABC = 65°, Find the value of

Mathematics
1 answer:
GREYUIT [131]3 years ago
5 0

Answer:

<ACB = 65^{o} and <BAC = 50^{o}

Step-by-step explanation:

The given triangle is an isosceles triangle. Thus its two sides are equal and base angles are equal.

So that;

<ACB = <ABC

<ACB = 65^{o} (property of an isosceles triangle)

Then,

<ABC + <ACB + <BAC = 180^{o}

65^{o} + 65^{o} + <BAC = 180^{o}

130 + <BAC = 180^{o}

<BAC = 180^{o} - 130^{o}

          = 50^{o}

<BAC = 50^{o}

Thus, <ACB = 65^{o} and <BAC = 50^{o}.

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The cost to print digital photos at a local store is
snow_tiger [21]
<h2>The cost is same for both the options if we purchase 27 photos</h2>

Step-by-step explanation:

   Cost of a photo at a local store is $0.25 per photo. This cost can be modeled to be linear in number of photos as C_{1}(x)=0.25x.

   Cost of photos purchased online is $0.15 per photo. However there is a shipping cost of $2.70. This can also be modeled to be linear in number of photos as C_{2}(x)=2.70+0.15x.

   Let us assume both costs are the same if we purchase n photos.

So, C_{1}(n)=C_{2}(n)

0.25n=2.70+0.15n

0.10n=2.70

n=27

∴ On purchasing 27 photos, cost for both the options is the same.

5 0
3 years ago
Read 2 more answers
8(5-32) equal to and explain <br> please help
Gre4nikov [31]
You would use order of operations: PEMDAS
P(parenthesis) E(exponents) MD(multiplication/division) AS(addition/subtraction)
with MD and AS order doesnt matter.
8(5-32) you would start with inside the Parenthesis for "P" so (5-32)=(-27)
next you would go to the E but because you dont have an exponent you go to the next step with is the "MD" you have multiplication so next would be 8(-27) and 8 multiplied by -27 is: 8(-27)= -216
ANSWER: -216
4 0
3 years ago
Read 2 more answers
I) Find the volume in terms of pie
SVETLANKA909090 [29]

Answer:

i) pi×4500 cm³

ii) pi×600 cm²

iii) 14 liters

Step-by-step explanation:

in general : the diameter is 30 cm, the radius is half of that (15 cm)

i)

the volume of a cylinder is base area times height.

Vc = pi×r²×h = pi×15²×20 = pi×225×20 = pi×4500 cm³

ii)

similar to volume, the side "mantle" area of the cylinder is the circumference of the base area times height.

surface area of the cylinder mantle is

Scm = 2×pi×r×h = 2×pi×15×20 = pi×30×20 = pi×600 cm²

iii)

for this we need now to do the multiplication with pi and then convert the cm³ to liters.

1 liter = a cube of 10 cm side length = 10×10×10 = 1000 cm³

pi×4500 = 14137.17 cm³ = 14.13717 liters or rounded 14 liters

3 0
3 years ago
2. Which interval notation represents the set of all real
anygoal [31]
B. (2,20] is the correct answer
3 0
3 years ago
What is the minimum value
IgorC [24]
It's the smallest value in this equation which should at x=-10, the equation is x=-b/(2a)
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