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
Nitella [24]
3 years ago
14

Can someone help me understand and do this because well I have no idea what I’m doing.

Mathematics
1 answer:
kolbaska11 [484]3 years ago
5 0

Answer:

Read Below!

Step-by-step explanation:

Answer:

Step-by-step explanation:

<em>Please find attached an edited image of yours where I have named the sides of triangle in part 23). Below I shall give you a detail answer for part 23) along with the final values for the other parts 24) and 25) and you can apply the same methods to solve the remaining two. </em>

So lets consider Triangle 23):

Here we have a Triangle of sides a, c and (b+43) which is the base (total length). We also have line h which is the height of our triangle. Here the height creates a right angle (i.e. 90° ) denoted by the little square symbol in the bottom of the line. This h line divides our triangle into Two Right Triangles. Right triangles mean that one of their angles is ALWAYS  90° .

In theory we also know that the SUM of the interior angles of ANY triangle is always  180°. Finally we know that for ANY Right Triangle the Pythagorian Theorem is true which denotes that the Squared value of the Hypotenuse of the triangle is equal to the squared values of the other two legs of the triangle, which in mathematical form reads:

x^2+y^2=h^2

where x and y are the two legs of a right triangle and h is the hypotenuse. In a right triangle we also know that for any of the other two angles (i.e. NOT the 90° angle), thus lets call one of the two remaining angles \theta the following trigonometric identities are to be true:

sin\theta=\frac{opposite side}{hypotenuse} \\cos\theta=\frac{adjacent side}{hypotenuse}\\tan\theta=\frac{opposite side}{adjacent side}

Finally we know that the Area of any triangle is given as half the product of the height (h) and base (b) of the triangle as follow:

A=\frac{1}{2}bh

-----------------------------------------------------------------------------------------------------------

Let us now consider my attached image and the triangle in 23). With respect to the angles, we know 2 out of the 3 angles since one is given as 70° and the other is the right angle, thus 90°. So lets call the uknown one as \theta so we have:

70+90+\theta=180\\\theta=180-160\\\theta=20

So now we have a Right triangle where we know all 3 angles and 1 of each sides. Therefore we can find the remainder of the sides using our Trigonometric Identities and Pythagorian Theorem on the left right triangle (i.e. a-h-43). <em>Note here a is the hypotenuse, h and 43 are the opposite and adjacent sides, respectively.</em>

Solving for side a we have:

cos70=\frac{43}{a} \\a=\frac{43}{cos70} \\a=125.7\\a=126

Thus from Pythagoras Theorem:

a^2 = h^2 + 43^2\\h^2=a^2-43^2\\h=\sqrt{a^2-43^2}\\h=\sqrt{126^2-43^2}\\h=118

Now let as work on the other right triangle included in our main triangle of 23) as follow. Here now we know h which is the opposite side from the known angle of 37° (that is given), so by trigonometry on the right angle now we have:

sin37=\frac{h}{c}\\c=\frac{h}{sin37}\\ c=196

So now we can also find the value for side b by Pythagorean theorem as:

c^2=h^2+b^2\\b^2=c^2-h^2\\b=\sqrt{c^2-h^2}\\b=\sqrt{196^2-118^2}\\ b=156

<em>So finally to find the Area of Triangle 23) we know that </em>

Base: 43+b = 43+156 = 199

Height: h=118

Thus Area formula gives us that:

A=\frac{1}{2}(height)(base)\\ A=(0.5)(118)(199)\\A=11741

To summarise:

<u>Triangle 23):</u>

Height: 118

Base: 43 + 156 = 199

Area: 11741

<u>Triangle 24):</u>

Height: 11

Base: 5 + 13 = 18

Area: 99

<u>Triangle 25):</u>

Height: 38

Base:  22 + 34 = 56

Area: 1064

<em>Note: ALL values are rounded up to nearest tenth as mentioned in your question</em>

You might be interested in
8xp is less than 8 but greater than 0
qaws [65]

Answer: 0<8xp<8

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
2.
abruzzese [7]

Answer :B 4 miles

thank me later

7 0
3 years ago
(Please Help!) Find the radius of a circle so that its area and circumference have the same value.
Lapatulllka [165]

Answer:

the radius must equal 2

Step-by-step explanation:

A = pi * r^2       C = 2 * pi *r

set them equal

pi * r^2 = 2 * pi *r

divide both sides by pi

r^2 = 2 * r

divide both sides by r

r^2 /r = 2r/r

r = 2


4 0
3 years ago
What's the slope of the line passing through the point help​
scoray [572]

Answer:

the slope is 3/4

Step-by-step explanation:

The formula for slope is

m = (y2 - y1)/(x2 - x1)

The two points are given as (-1, 1) or (x1, y1), and (3, 4) or (x2, y2)

Plug those value into the formula and simplify

m = (4 - 1)/(3 - (-1))

    m = 3/(3 + 1)

        m = 3/4

6 0
4 years ago
Read 2 more answers
Kerri said that the product of 3.93 and 0.07 would be about 4 and would have two decimal places. Is she correct?
oee [108]

Answer:

No.

Step-by-step explanation:

This type of problem is actually a trick problem. The question indicates that the PRODUCT of 3.93 and 0.07 would be about 4. The question is referring to the answer of the two values Multiplied to each other.

To visualize the question, we have:

3.93 x 0.07

This would give us:

0.2751

Kerri would be correct if she was looking for the SUM of the two values.

This would be:

3.93 + 0.07

This would give us:

4

Therefore in trick problems like this ones, it is better to look at what exactly is being asked.

8 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following best describes triangle GFH?
    10·2 answers
  • A carnival ride is in the shape of a wheel with a radius of 15 feet. The wheel has 24 cars attached to the center of the wheel.
    11·1 answer
  • What's the value of y
    5·1 answer
  • What is 9pi/5 concerted to degrees?<br><br> A) 162<br> B) 350<br> C) 324<br> D) 5.7
    11·1 answer
  • 180 is the lcm of 12 and a number n . What are the possible values of n?
    15·1 answer
  • Can someone help me with this
    10·1 answer
  • A waterfall in a park is located 6 miles east and 3 miles north of the visitors center. There is a picnic site 1 mile east and 2
    15·1 answer
  • Has a slope of -2 and has a y-intercept of (0, -3)
    10·1 answer
  • How do I solve this?​
    11·2 answers
  • Kim took a 3,000 mile trip in 4 days.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!