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aleksklad [387]
3 years ago
15

An isosceles triangle has sides of length 12.4, 12.4, and 17. Find the measure of the vertex angle.

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
6 0

Answer: 13

Step-by-step explanation:

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Until 2014, the mass of a kilogram was defined as exactly equal to the mass of a special
emmainna [20.7K]

Step-by-step explanation:

We have,

Diameter of cylinder, d = 39.2 mm

Radius, r = 19.6 cm

Height of the cylinder, h = 39.2 mm

It is required to find the surface area of this cylinder. The formula of the surface area of cylinder is given by :

S=2\pi rh+2\pi r^2\\\\S=2\pi r(h+r)

Putting all values we get :

S=2\times\dfrac{22}{7}\times19.6\cdot(39.2+19.6)\\\\S=7244.16\ mm^2

7 0
3 years ago
The dinner bill came to $24.29 before tax and tip. If the taxes were 6% and they decided to leave an 18% tip, what was the total
olga_2 [115]

Answer:

$30.64 +6% tax and 18% tip

Step-by-step explanation:

Hope it helps

3 0
3 years ago
I need help asap pls and thank you ;)
olga55 [171]

Answer:

\text{Length of AB is }\frac{ah}{a+h}

Step-by-step explanation:

Given △KMN, ABCD is a square where KN=a, MP⊥KN, MP=h.

we have to find the length of AB.

Let the side of square i.e AB is x units.

As ADCB is a square ⇒ ∠CDN=90°⇒∠CDP=90°

⇒ CP||MP||AB

In ΔMNP and ΔCND

∠NCD=∠NMP     (∵ corresponding angles)

∠NDC=∠NPM     (∵ corresponding angles)

By AA similarity rule,  ΔMNP~ΔCND

Also, ΔKAP~ΔKPM by similarity rule as above.

Hence, corresponding sides are in proportion

\frac{ND}{NP}=\frac{CD}{MP} \thinspace\thinspace and\thinspace\thinspace \frac{KA}{KP}=\frac{AB}{PM} \\\\\frac{ND}{NP}=\frac{x}{h} \thinspace\thinspace and\thinspace\thinspace \frac{KA}{KP}=\frac{x}{h}\\\\\frac{NP}{ND}=\frac{h}{x} \thinspace\thinspace and\thinspace\thinspace \frac{KP}{KA}=\frac{h}{x}\\\\\frac{PD}{ND}=\frac{h}{x}-1 \thinspace\thinspace and\thinspace\thinspace \frac{AP}{KA}=\frac{h}{x}-1\\

KA(\frac{h}{x}-1)=AP

ND(\frac{h}{x}-1)=PD

Adding above two, we get

(KA+ND)(\frac{h}{x}-1)=(AP+PD)

⇒ (KN-AD)=\frac{x}{(\frac{h}{x}-1)}

⇒ a-x=\frac{x}{(\frac{h}{x}-1)}

⇒ a-x=\frac{x^2}{h-x}

⇒ x^2=ah-ax-xh+x^2

⇒ x(h+a)=ah

⇒ x=\frac{ah}{a+h}

3 0
2 years ago
Describing each step.
Firlakuza [10]

Answer:

1-2

Step-by-step explanation:

It's 1-2 beacause from 1-2 the oriantation did not change, the size did not change, the shape did not change, and it was not a mirror image

8 0
3 years ago
A theater seats 378 people. There are two shows each weekend for four weekends. If all of the seats are sold for all performance
Lapatulllka [165]
This may not be right but 378 x 4 = 1,512
3 0
3 years ago
Read 2 more answers
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