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
artcher [175]
3 years ago
10

Find the altitude of an isosceles triangle with a vertex angle (that is, the non-base angle) of 70° and a base of 246. Draw a di

agram and find the length of the altitude

Mathematics
2 answers:
ki77a [65]3 years ago
7 0
Altitude = 175.6 units

mestny [16]3 years ago
4 0

Answer:

AD=175.66 units

Step-by-step explanation:

It is given that ABC is an isosceles triangle in which base is 246 and the non base angle is 70°.

Thus, applying the angle sum property in ΔABC, we get

∠A+∠B+∠C=180°

⇒70°+2∠B=180°

⇒∠B=55°

Thus, ∠B=∠C=55°.

Now, Draw AD perpendicular to BC such that BD=DC=123, then applying trigonometry in ΔADC, we have

\frac{AD}{DC}=tan55^{\circ}

⇒\frac{AD}{123}=1.428

⇒AD=123(1.428)

⇒AD=175.66 units

Thus, the length of the altitude is 175.66.

You might be interested in
Which products result in a difference of squares? Check all that apply.(x – y)(y – x)(6 – y)(6 – y)(3 + xz)(–3 + xz)(y2 – xy)(y2
nikitadnepr [17]

1. (3 + xz)(–3 + xz)

2. (y² – xy)(y² + xy)

3. (64y2 + x2)(–x2 + 64y2)

Explanation

The difference of 2 squares is in the form (a+b)(a-c).

(3 + xz)(–3 + xz) = (3 + xz)(xz -3)

                           = (xz + 3)(xz - 3)

                          = x²y²-3xy+3xy-9

                          =x²y² - 3²

(y² – xy)(y² + xy) = y⁴+xy³-xy³-x²y²

                          = y⁴ - x²y²

(64y2 + x2)(–x2 + 64y2)= (64y²+x²)(64y²-x²)

                                      = 4096y⁴-64y²x²+64y²x²-x⁴

                                      = 4096y⁴ - x⁴

3 0
3 years ago
Which number is a rational number?
erik [133]

Answer:

C

Step-by-step explanation:

17.156 is the irrational number as it is terminating(means it ends)

Rest all are irrational

8 0
2 years ago
1. What is the median of the data represented in the line plot below?<br> 0<br> 1<br> 2<br> 3
Strike441 [17]
The median is 1 because that is the number in the middle
3 0
3 years ago
Which equation best represents the line? (10 Points)
son4ous [18]

Answer: D. y = 3x − 1

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

From the graph,

y2 = 2

y1 = - 1

x2 = 1

x1 = 0

Slope,m = (2 - - 1)/(1 - 0) = 3/1 = 3

To determine the intercept, we would substitute x = 1, y = 2 and m= 3 into y = mx + c

y = mx + c. It becomes

2 = 3 × 1 + c = 3 + c

c = 2 - 3 = - 1

The equation becomes

y = 3x - 1

7 0
3 years ago
Translate the phrase into an algebraic expression.The product of 4 and b
Korvikt [17]

Answer:

the answer is 4×b=4b

Step-by-step explanation:

product=×

4×b=4b

6 0
2 years ago
Other questions:
  • Solve the compound inequality 2x &gt; –10 and 3x &lt; 24.
    8·1 answer
  • What is 765903 rounded to the nearest thousand
    12·2 answers
  • What is the common difference between successive terms in the sequence?
    5·2 answers
  • 1 yogurt cost 55p how many can be bought for £5
    12·1 answer
  • A recipe for quinoa no calls for 2 and 2/3 cups of milk Connor wants to make four batches of quinoa how much milk does he need
    12·1 answer
  • Which function describes this graph f(x)=4x+2 ??? Anybody please help ?
    12·2 answers
  • Answer the 3 questions PLEASE
    13·1 answer
  • Each of the 17 members of the roller rink club bought a roller
    14·2 answers
  • The amount of time is takes dora to commute to work is always within 5 minutes of the average number of minutes the commute take
    6·1 answer
  • The length, in centimeters, of a diagonal of a rectangle is represented by the expression below.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!