Answers
Given:
In triangle KLM, KL = 123 cm and measure of angle K is 35 degrees.
To find:
The length of the side KM to the nearest tenth of a centimeter.
Solution:
In a right angle triangle,
[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]
In the given right triangle KLM,
[tex]\cos K=\dfrac{KM}{KL}[/tex]
[tex]\cos (35^\circ)=\dfrac{KM}{123}[/tex]
[tex]0.819152=\dfrac{KM}{123}[/tex]
Multiply both sides by 123.
[tex]0.819152\times 123=KM[/tex]
[tex]100.755696=KM[/tex]
[tex]KM\approx 100.8[/tex]
The measure of side KM is 100.8 cm.
Therefore, the correct option is (2).
Related Questions
Write the log equation as an exponential equation. You do not need to solve for x.
log, (2) = 2x - 1
Answers
Answer:
2 = 10^(2x-1)
Step-by-step explanation:
Imma assume the "," is 10,
So basically, it's just 2 = 10^(2x-1) I think, sorry if I'm wrong tho
What does burning fossil fuels release into the air?
Answers
When fossil fuels are burned, they release nitrogen oxides into the atmosphere, which donate to the formation of smog and acid rain. Major sources of nitrogen oxide emissions include: Cars and trucks. Coal-fired power plants.
Step-by-step explanation:
Answer:
carbon dioxide
Step-by-step explanation:
took the test
Extremely STUCK on this one help!
Answers
Which congruence statement correctly compares the two triangles shown?
A) AABD - ABDC
B) AABD - ACDB
C) ADBA - ADBC
OD) AADB - ABCD
Answers
Answer:
B) ABD=CDB
Step-by-step explanation:
Explanation: Because i am correct bestie
Evaluate 3x + y if x = 1.5 and y = 1/2
Answers
Step-by-step explanation:
3x + y
3(1.5)+0.5
=5
!!!!!!!!!!
Answer:
5
Step-by-step explanation:
3x + y = ?
3 (1.5) + 1/2 = ?
4.5 First let's convert 4.5 into a fraction
4.5 = [tex]\frac{9}{2}[/tex] Then convert it has a mixed number
[tex]4\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex] = 5
My exam, does any one know the answer
Answers
Answer:
D) 7
Step-by-step explanation:
Five times a number=5x
added to 4= 5x+4
[tex]5x+4=39[/tex]
[tex]5x=35[/tex]
[tex]x=7[/tex]
So, the number is 7.
What’s an explanation function ?
Answers
Answer:
Functional explanations are a type of explanation offered in the natural and social sciences. In giving these explanations, researchers appeal to the functions that a structure or system has.
Factorise as fully as possible:
[tex]8x^{2} -4x[/tex]
Please help me! Got a big test tomorrow and I really want to make sure I have every skill under my belt.
Answers
Answer:
[tex]4x(2x−1)[/tex]
Step-by-step explanation:
[tex] {8x}^{2} - 4x[/tex]
[tex]4x(2x) - 4x[/tex]
[tex]4x(2x)+4x(−1)[/tex]
[tex]4x(2x−1)[/tex]
Hope it is helpful....find the length of the missing side
help!
Answers
Answer:
B would be 72 using a^2+b^2=c^2
Step-by-step explanation:
30^2 + x =78^2
in other words
900 + x =6084
6084-900= 5184
The square root of 5184 is 72
Right triangles 1, 2,
and 3 are given with all their angle measures and approximate side lengths.
35
8.2
120
10
9.4
10
2
70
55
5.7
3.4
6.4
7.7
3
50
40
10
Answers
Answer:
2.2
Step-by-step explanation:
I did it on khan
Right triangles have the measure of one of its angles to be 90 degrees
The ratio WY/WX is 0.36
From the triangle (see attachment), one of the angles of triangle WXY is 70 degrees.
This means that, the triangle is similar to triangle 1.
Similar triangles may or may not have congruent side lengthsSimilar triangles have equivalent ratiosSo, by comparing the side lengths, we have:
[tex]WY = 3.4[/tex]
[tex]WX = 9.4[/tex]
The ratio is then calculated as:
[tex]\frac{WY}{WX}= \frac{3.4}{9.4}[/tex]
[tex]\frac{WY}{WX}= 0.36[/tex]
Hence, the ratio WY/WX is 0.36
Read more about similar triangles at:
https://brainly.com/question/14285697
A baseball pitching coach charges $90 for 2.5 hours of training. If you train for 9 hours in one week, how much will that cost for the week, in dollars?
Answers
Answe$324
Step-by-step explanation:
First you divide 9 by 2.5 to get 3.6 which is how many times you practiced for 2.5 hours
Next you multiply 3.6 by 90 to get 324
What is the volume of the triangle prism? ( HELP PLEASE )
Answers
Answer:
270 km³
Step-by-step explanation:
the volume = ½×9×6×10 = 270 km³
Sarah's vegetable soup recipe uses 2
cups of vegetables to make one pot of soup. She wants to triple the recipe.
How many cups of vegetables does she need?
Answers
Answer:
No.of cups for one soup : 2 cups
No.of cup for 3 soups: 2×3
=6
So , 6 cups of vegetable
HOPE IT HELPS U :)
Find the volume of the cone. Round your answer to the nearest hundredth.
Answers
Answer:
I believe the answer is 1.36
I need the answer HELP HELP HELP HELP
Answers
Answer:
A; TDC Inc., has 40 salespeople
B; Exactly half of the salespeople took fewer than 6 flights last year
F; Exactly half of the salespeople took at least 7 flights last year
Can someone please help me?
Answers
Answer:
yes i can
Step-by-step explanation:
Answer:
(2,7)
Step-by-step explanation:
From her home, Adriana would have to walk due north to get to her friend Gavin's house and due east to get to her friend Zach's house. It is 3 miles from Adriana's house to Zach's house and a straight-line distance of 5 miles from Gavin's house to Zach's house. How far is Adriana's house from Gavin's house?'
Answers
Answer:
4 miles.
Step by step explanation
If 3(x - 1) – 5(x – 3) = 3, find the value of 7x-5.
Answers
Answer:
36.5
Step-by-step explanation:
First solve for x
Factor:
3x-3-5x+15 = 3
Combine Like Terms:
-2x+12=3
-2x = -9
x = 4.5
PLug it in:
7(4.5)-5
31.5-5
36.5
[tex]{\boxed{\mathcal{\red{Step-by-step\:explanation:-}}}}[/tex]
[tex]3(x - 1) - 5(x - 3) = 3 \\ ⇝3x - 3 - 5x + 15 = 3 \\ ⇝ - 2x + 12 = 3 \\ ⇝ - 2x = 3 - 12 \\ ⇝x = \frac{ - 9}{ - 2} \\ x = 4.5[/tex]
To verify:
[tex]3(4.5 - 1) - 5(4.5 - 3) = 3 \\ ✒ \: 13.5 - 3 - 22.5 + 15 = 3 \\ ✒ \: 28.5 - 25.5 = 3\\✒\: 3 = 3[/tex]
✒ L. H. S. = R. H. S.
[tex]\sf\pink{Hence\:verified.}[/tex] ✔
Now,
7 [tex]x[/tex] - 5 = 7 x 4.5 - 5
= 31.5 - 5
= 26.5
[tex]\sf\purple{Therefore,\:the\:value\:of\:''7\:x-\:5''\:is\:26.5.}[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Which statement about the graph of y = tan x is true?
Answers
The formula distance =rate x time (d = ) tells how far an object travels at a certain rate (speed) over a certain time
How long will it take a train to travel 765 miles at 85 tniles per hour?
Answers
Answer:
42.05 HRS
Step-by-step explanation:
D = R x T ..... D=765 MILES R= 95 MILES/HR WE HAVE TO SOLVE FOR T BECAUSE THE QUESTIONS ASKS "HOW LONG.." T = D/R AND THEN SUBSTITUTE THE DISTANCE AND RATE ;)
pleaseee help me I really need thissssss
Answers
Today, however, scientists have rejected the geocentric
model in favor of the heliocentric model. The heliocentric
model places the Sun at the center of the solar system.
(Helio means “Sun,” so heliocentric means
“Sun-centered.”) The invention of the telescope around the
year 1600 gave scientists a much more accurate view of
space from Earth. Using measurements made while looking
through telescopes, scientists such as Galileo Galilei
demonstrated the truth of the heliocentric model. The Sun is
the center of the solar system.
What is the Sun?
Earth’s Sun may seem different to us, but it is a star like all the other stars located outside the solar system. A star is an extremely hot, dense mass of gases. As these gases burn, the star gives off visible light, as well as other charged particles. Most of the energy that reaches our planet, including light and heat, comes from the Sun.
The Sun is actually medium-sized compared to other stars. Still, it is the most massive object in the solar system. The Sun has enough mass that its gravitational pull holds the planets and other objects in the solar system in orbit. As all of the other objects in the solar system orbit the Sun, the Sun rotates, or spins, about its axis.
The geocentric model (above) places Earth at the center of the solar system. Today, all scientists accept the heliocentric model (below), which places
the
marks)
9 (b). The first two terms of an arithmetic progression are shown.
р
5p
The sum of the first three terms is 90
Work out the value of p.
Answers
9514 1404 393
Answer:
p = 6
Step-by-step explanation:
The difference between the first two terms is ...
5p -p = 4p
Since this is an arithmetic sequence, the next term will be 4p more than the last term:
5p +4p = 9p
Then the sum of the first three terms is ...
p + 5p + 9p = 90
15p = 90 . . . . . . . . . . collect terms
p = 6 . . . . . . . . . . . . divide by 15
_____
The first three terms are 6, 30, 54.
Consider the following functions which map Rn to Rn.
(a) T multiplies the jth component of~x by a nonzero number b.
(b) T replaces the ith component of~x with b times the jth component added to the ith component.
(c) T switches the ith and jth components.
Show these functions are linear transformations and describe their matrices A such that T (~x).
Answers
Answer: c
Step-by-step explanation:
Find the length of the arc in terms of pi A 144° 10 AB = [?]
Answers
Answer:
arc AB = 144°/360° x 2π x 10
= 2/5 × 20π = 8π
Fabric is stretched over the wooden frame below What is the total area of the fabric? Round to the nearest square inch
Answers
Answer:
72 in²
Step-by-step explanation:
We obtain the value of EC:
From Pythagoras :
EC = √CD² - DE²
EC = √10² - 6²
EC = √100 - 36
EC = √64
EC = 8
To obtain AE:
AE = √AB² - BE²
AE = √(√52)² - 6²
AE = √52 - 36
AE = √16
AE = 4
Hence, we can obtain the areas of each triangle :
△ABE = △ADE
△BCE = △CDE
AREA OF △ABE = 1/2 * base * height
= 1/2 * 4 * 6 = 12 in²
AREA OF △BCE = 1/2 * base * height
= 1/2 * 6 * 8 = 24 in²
HENCE, total area of fabric :
(2 * 12) + (2 * 24)
24 in² + 48 in²
= 72 in²
Question 6 of 10
Classify the following triangle. Check all that apply.
O A. Isosceles
B. Equilateral
O C. Obtuse
D D. Scalene
E. Right
OF Acute
SUB
Answers
Answer: a b f
Step-by-step explanation: I need brainliest for next rank I’d appreciate it
Write the inverse function for the function, ƒ(x) =1/2 x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.
ƒ -1(x) =
ƒ -1(4) =
Answers
Answer:
0
Step-by-step explanation:
Given that f(x) = 1/2x + 4
Let y = f(x)
y = 1/2 x + 4
Replace y with x
x = 1/2 y + 4
Make y the subject of the formula
1/2y = x - 4
y = 2(x-4)
If x = 3
y = 2(4-4)
y = 2(0)
y = 0
Hence ƒ -1(4) is 0
If h(x) = x - 7 and g(x) = x², which expression is equivalent to (gºf)(5?
O (5-7)2
(5)²-7
O (5)? (5 – 7)
O (5-7) x²
Answers
Answer:
(5^2)(5-7)
Step-by-step explanation:
So we know h(x)=x-7.
We also know g(x)=x^2
We need to plug in these values for (g*h)(5)
This would equal:
((x-7)*x^2)(5)
Since parthese can also be considered multipcation symbols, we can think of this as:
(x-7)(x^2)(5)
Lets distrubute the 5 to all the x's:
(5-7)(5^2)
Which is:
([tex]5^{2}[/tex])(5-7)
This looks like answer C.
Hope this helps!
The graph shows the relationship between tablespoons and teaspoons. Determine a rule that relates the number of tablespoons by writing the correct term or value from the tiles in each blank.
Answers
Answer:
Multiply
1/3
Step-by-step explanation:
You can divide by 3 or multiply by 1/3. Since it looks like 3 is grayed out, I guess you have to use the latter.
Am I correct? K
Thanks for helping!
PLEASEEE CHECK ME WORK!
Answers
Answer:
yes you are correct on all of them good job