1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
navik [9.2K]
3 years ago
13

An isosceles triangle has slant height s and angle t opposite the base. Find a formula for the base length b in terms of the ang

le t and the slant height s.Find a formula for the enclosed area A in terms of t and s.
Mathematics
1 answer:
Mars2501 [29]3 years ago
7 0

OK, let's try with no figure.  We have an isosceles triangle sides s,s, and b.

Opposite b is angle t.

Draw the altitude h to bisect t.  We have two right triangles, legs b/2 and h, hypotenuse s.  The angle opposite b/2 is t/2 so

sin(t/2) = (b/2)/s = b/2s

So we arrived at the first part,

b = 2s sin(t/2)

The area of a triangle with sides s,s and included angle t is

A = (1/2) s² sin t

You might be interested in
What Is 71898-92374?Will Be Brainlist
malfutka [58]

Answer:

-20,476

Step-by-step explanation:

5 0
3 years ago
Can someone help meee
pickupchik [31]

Step-by-step explanation:

29+1/5r=

29+(1/5×-1/2)

29+1/10

291/10

=29.1

4 0
3 years ago
Read 2 more answers
Given angle A B C , in which Line AD bisects angle BAC. If m angle B=64 and m angle C =42, determine m angle BAD.
Andrew [12]
D=54 i might be wrong
3 0
3 years ago
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 436.0 gram setting. It
Vilka [71]

Answer:

We conclude that the machine is under filling the bags.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 436.0 gram

Sample mean, \bar{x} = 429.0 grams

Sample size, n = 40

Alpha, α = 0.05

Population standard deviation, σ = 23.0 grams

First, we design the null and the alternate hypothesis

H_{0}: \mu = 436.0\text{ grams}\\H_A: \mu < 436.0\text{ grams}

We use one-tailed(left) z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{429 - 436}{\frac{23}{\sqrt{40}} } = -1.92

Now, z_{critical} \text{ at 0.05 level of significance } = -1.64

Since,  

z_{stat} < z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.

8 0
3 years ago
Can someone answer these pls
vazorg [7]

Answer:

x = -2

Step-by-step explanation:

hope this helps you

6 0
3 years ago
Read 2 more answers
Other questions:
  • Find the length of each hypotenuse such that KMN = LMN
    9·1 answer
  • If light travels 6.71x10^8 miles in one hour. how many miles will it travel in 1 minute?
    11·1 answer
  • I need help with 3 and 4 and help me as soon as possible!!‼️‼️
    11·2 answers
  • A store offers a 15% discount on all items in the storage on a cell All Star employee gets in the aditional 10% employee discoun
    7·1 answer
  • What’s the correct answer for this?
    8·1 answer
  • What is 7.7 tons roundef to the nearest ton
    15·2 answers
  • What is the probability of spinning praline wafer and then spinning oven baked apple &amp; lavender calzone on the next spin pls
    7·1 answer
  • A circular fence is being placed around a tree. The diameter of the fence is 4 feet. How much fence is used around the tree? Lea
    10·1 answer
  • Pls help me I will merl you as brain
    8·1 answer
  • For which k is it true that the sum of k consecutive integers is always divisible by k?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!