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
Gnesinka [82]
3 years ago
14

Type the correct answer in the box. Round off your answer to the nearest integer.

Mathematics
1 answer:
Mkey [24]3 years ago
6 0

Answer:

∠ p ≈ 59°

Step-by-step explanation:

Using Pythagoras' identity in right triangle ABD to find DB

DB² = 5² + 6² = 25 + 36 = 61 ( take square root of both sides )

DB = \sqrt{61}

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

Using the cosine ratio in right triangle DBC

cos p = \frac{adjacent}{hypotenuse} = \frac{DC}{DB} = \frac{4}{\sqrt{61} } , thus

p = cos^{-1} ( \frac{4}{\sqrt{61} } ) ≈ 59°

You might be interested in
I NEEED HELP!!!!!<br> find the equation of the line containing (5, -2) and has a slope of -1
mojhsa [17]
I think it is y=-5x+12
8 0
2 years ago
Read 2 more answers
Mario has nine Green, eight red, 10 brown, six orange, and nine blue M&amp;Ms what fraction of the M&amp;Ms are orange
gizmo_the_mogwai [7]

6 orange. 42 total. 6/42 = 1/7 of the M&Ms are orange.

6 0
3 years ago
The coordinates of rhombus ABCD are A(–4, –2), B(–2, 6), C(6, 8), and D(4, 0). What is the area of the rhombus? Round to the nea
a_sh-v [17]
Check the picture below.

so the rhombus has the diagonals of AC and BD, now keeping in mind that the diagonals bisect each, namely they cut each other in two equal halves, let's find the length of each.

\bf ~~~~~~~~~~~~\textit{distance between 2 points}&#10;\\\\&#10;A(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-2})\qquad &#10;C(\stackrel{x_2}{6}~,~\stackrel{y_2}{8})\qquad \qquad &#10;%  distance value&#10;d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}&#10;\\\\\\&#10;AC=\sqrt{[6-(-4)]^2+[8-(-2)]^2}\implies AC=\sqrt{(6+4)^2+(8+2)^2}&#10;\\\\\\&#10;AC=\sqrt{10^2+10^2}\implies AC=\sqrt{10^2(2)}\implies \boxed{AC=10\sqrt{2}}\\\\&#10;-------------------------------

\bf ~~~~~~~~~~~~\textit{distance between 2 points}&#10;\\\\&#10;B(\stackrel{x_1}{-2}~,~\stackrel{y_1}{6})\qquad &#10;D(\stackrel{x_2}{4}~,~\stackrel{y_2}{0})\qquad \qquad BD=\sqrt{[4-(-2)]^2+[0-6]^2}&#10;\\\\\\&#10;BD=\sqrt{(4+2)^2+(-6)^2}\implies BD=\sqrt{6^2+6^2}&#10;\\\\\\&#10;BD=\sqrt{6^2(2)}\implies \boxed{BD=6\sqrt{2}}

that simply means that each triangle has a side that is half of 10√2 and another side that's half of 6√2.

namely, each triangle has a "base" of 3√2, and a "height" of 5√2, keeping in mind that all triangles are congruent, then their area is,

\bf \stackrel{\textit{area of the four congruent triangles}}{4\left[ \cfrac{1}{2}(3\sqrt{2})(5\sqrt{2}) \right]\implies 4\left[ \cfrac{1}{2}(15\cdot (\sqrt{2})^2) \right]}\implies 4\left[ \cfrac{1}{2}(15\cdot 2) \right]&#10;\\\\\\&#10;4[15]\implies 60

7 0
3 years ago
Read 2 more answers
What is 234781518168816+191619181910170<br>​
EastWind [94]

Answer:

4.264007e+14

Step-by-step explanation:

Hope this helps

7 0
3 years ago
Read 2 more answers
a walking path across a park is represented by the equation y=-2x-7. A new path will be built perpendicular to this path.The pat
jonny [76]

Answer:

The equation that represents the new path is y=(1/2)x-2

Step-by-step explanation:

step 1

Find the slope of the give line

we have

y=-2x-7

so

the slope m is equal to

m=-2

step 2

Find the slope of the perpendicular line to the given line

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal of each other

so

we have

m=-2 -----> slope of the given line

therefore

The slope of the perpendicular line is equal to

m=1/2

step 3

With m=1/2 and the point (-2,-3) find the equation of the line

y-y1=m(x-x1)

substitute

y+3=(1/2)(x+2)

y=(1/2)x+1-3

y=(1/2)x-2 -----> equation that represent the new path

8 0
3 years ago
Read 2 more answers
Other questions:
  • I need help plzzzzzz
    9·1 answer
  • Find the difference 9 1/3 - 2/3
    5·1 answer
  • Two number cubes are rolled in a board game. What is the probability that both number cubes land on the same number?
    5·1 answer
  • the area of the region bounded by the curve y=e^2x the x axis the y axis and the line x=2 is equal toA) e^4/2 -e B) e^4/2 - 1 C)
    12·1 answer
  • Bridget has opened a new clothing boutique. When would you say that the clothes she sells are in demand?
    8·2 answers
  • What is the measure of
    12·1 answer
  • Consider this expression.
    14·1 answer
  • Can someone help me with this question?<br><br><br><br>Which function is a linear function?
    14·1 answer
  • Please help me! I will give you Brainlist if you get it right!​
    11·1 answer
  • I give brainliest!!!!
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!