Here is the full question:
Triangle ABC is a right-triangle and sin(53o) = StartFraction 4 Over x EndFraction. Solve for x & round to the nearest whole number.
Triangle A B C is shown. Angle A C B is a right angle and angle B A C is 53 degrees. The length of B C is 4 centimeters, the length of A C is y, and the length of hypotenuse A B is x.
Which equation correctly use the value of x to represents the cosine of angle A?
cos(53o) = StartFraction 4 Over x EndFraction cos(53o) = StartFraction y Over 5 EndFraction cos(53o) = StartFraction x Over 4 EndFraction cos(53o) = StartFraction 5 Over y EndFraction
Answer:
cos(53°) = StartFraction y Over 5 EndFraction
Step-by-step explanation:
From the information above:
The sketch of the triangle is drawn and attached in the diagram below.
To find x using the sine rule,
We know that:
[tex]Sin \theta = \dfrac{opposite}{hypothenuse}[/tex]
∴
[tex]Sin (53^0) = \dfrac{4}{x}[/tex]
Making x the subject of the formula:
[tex]x = \dfrac{4}{Sin \ 53^0}[/tex]
[tex]x = \dfrac{4}{0.7986}[/tex]
[tex]x \simeq 5[/tex]
Now, the equation that correctly uses the value of x can be determined by finding the cosine of ∠ A.
Recall that:
[tex]Cos \theta = \dfrac{adjacent}{hypothenuse}[/tex]
[tex]Cos \ 53^0 = \dfrac{y}{x}[/tex]
where; x = 5
[tex]Cos \ 53^0 = \dfrac{y}{5}[/tex]
Thus, the equation that correctly uses the value of x to represent the cosine of angle A is:
cos(53°) = StartFraction y Over 5 EndFraction
Answer:
simple answer B
Step-by-step explanation:
Branliest! Please I'm beggin you! Help me!!!
The lunch lady has 5 pounds of lasagna left over. If she makes 14-pound servings, how many servings of lasagna can she serve with the amount left over?The lunch lady has 5 pounds of lasagna left over. If she makes 14-pound servings, how many servings of lasagna can she serve with the amount left over?
Answer:
How does she make 14 pound servings with 5 pounds ?
Answer:
4/5
Step-by-step explanation:
cus i said so
The sum of the first (n) terms of the sequence is given by the formula (given below) . If this sequence is a geometric progression, find q. If this sequence is an Arithmetic progression, find d
Answer:Example 1:
Find the sum of the first 8 terms of the geometric series if a1=1 and r=2.
S8=1(1−28)1−2=255
Example 2:
Find S10 of the geometric sequence 24,12,6,⋯.
First, find r.
r=r2r1=1224=12
Now, find the sum:
S10=24(1−(12)10)1−12=306964
Example 3:
Evaluate.
∑n=1103(−2)n−1
(You are finding S10 for the series 3−6+12−24+⋯, whose common ratio is −2.)
Sn=a1(1−rn)1−rS10=3[1−(−2)10]1−(−2)=3(1−1024)3=−1023
In order for an infinite geometric series to have a sum, the common ratio r must be between −1 and 1. Then as n increases, rn gets closer and closer to 0. To find the sum of an infinite geometric series having ratios with an absolute value less than one, use the formula, S=a11−r, where a1 is the first term and r is the common ratio.
Example 4:
Find the sum of the infinite geometric sequence
27,18,12,8,⋯.
First find r:
r=a2a1=1827=23
Then find the sum:
S=a11−r
S=271−23=81
Example 5:
Find the sum of the infinite geometric sequence
8,12,18,27,⋯ if it exists.
First find r:
r=a2a1=128=32
Since r=32 is not less than one the series has no sum.
Step-by-step explanation:
Esmeralda received a bag of jellybeans that contained a mixture of regular flavored jellybeans and "surprise" jellybeans. The bag advertised that 15% of the jellybeans were "surprise" flavors. If she counted 40 jellybeans in the bag, how many should she expect to be the "surprise" jellybeans?
Answer:
6 jellybean
Step-by-step explanation:
Given that:
Esmeralda received a bag of jellybean the contains regular flavored jelly beans and surprise jelly bean.
Consider the regular flavored jellybean to be = r; &
The surprise jelly bean.= s
From the bag, there are 40 jellybeans of which 15% is surprise jellybean.
Therefore the number of expected surprise jellybeans is:
= total number of jellybeans × percentage of surprise jellybean
= 40 × (15 /100)
= 6 jellybean
If 6 surprise jellybean is presented in the bag; then the number of regular flavored jellybean = 40 - 6 = 34 regular flavored jellybean
Who can answer my question in square LMNO find the length of LM
Answer:
10 units
Step-by-step explanation:
LMNO is a square.
All sides of square are equal
MN = LM
3x + 1 = x + 7
3x - x = 7 - 1
2x = 6
x = 6/2
x = 3
LM = x + 7 = 3 + 7 = 10
LM = 10 units
In the equation y=2X+7 which
number is the slope?
Slope (m)
Answer:
2 is the slope
Step-by-step explanation:
the equation is y=mx+b so if it is
y= 2x+7 that means the slope is 2
Answer:
2
Step-by-step explanation:
This equation is in y=mx+b form.
Slope = m
Y-intercept = b
This will give you the slope of 2 :)
What is an equation of the line that passes through the points (4, -2) and (8, – 7)?
Put your answer in fully reduced form.
Answer:
y= -5x/4 + 3
Step-by-step explanation:
To find slope, use the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], so m(the slope) = (-7+2)/(8-4) = -5/4.
Now let us use (4,-2) in the equation [tex]y-y_1=m(x-x_1)[/tex].
So y - (-2) = (-5/4)(x - 4) (equation of the line)
y + 2 = -5/4(x - 4)
y + 2 = -5x/4 + 5
y= -5x/4 + 3 (slope-intercept form, also known as fully reduced form)
You could also use (8,-7) instead of (4,-2).
Tritan played in a football game he caught the ball at the goal line and ran forward 30 yards before he was tackled how could tristansrun be represented as a fraction and decimal of the whole football field
Answer:
As a fraction = [tex]\dfrac{30}{100}[/tex]
As a decimal = 0.3
Step-by-step explanation:
Recall that: The total yard of a football field = 100 yards
Tritan played in a football game he caught the ball at the goal line and ran forward 30 yards before he was tackled,
As a fraction;
Tristan run can be represented as = number of run from goal-line/ total length of the field
= [tex]\dfrac{30}{100}[/tex]
As a decimal= 0.3
What is the slope of this line? please explain because it is confusing if I only got the number of the slope:)
Answer:
8/3
Step-by-step explanation:
Use rise over run. Find two points that are at perfect points. For example (3,2). Don't use something like (2.45, 7.34), That will make it difficult. I used (0, 4) and (-3, 4). To get from (-3,4) to (0,4), you have to go up 8 and to the right 3. Always count up or down first and then side to side.
how do you graph this
y-2x=0
y=4x+3
Answer:
Step-by-step explanation:
those are 2 lines, and to graph them find 2 points for each to draw a line trough them
line 1
y-2x=0 so y=2x
pick any value for x
(x=1, y=2*1=2), (x=3, y=2*3=6)
Draw a line trough points (1,2) and (3,6)
line 2
y=4x+3
(x=1, y=4*1+3=7), (x= -1, y= 4(-1)+3= -1)
Draw a line trough points (1,7) and (-1, -1)
Factor completely 5b^2-11b+6
Answer:
(b - 1) (5b - 6)
Step-by-step explanation:
Y=|x+2|-3 find the axis of symmetry
how can you determine the additive inverse of a number. What is the sum of a number and its additive inverse?
Answer:
An example can be 14 + (-14) = 0
Whenever you encounter a problem like the one I put, your answer should ALWAYS be 0 because you start with 14. Now take away 14 you end up with 0.
Step-by-step explanation:
Hope this helps!
I need help solving this ! I would appreciate it
Answer:
-1 > -2
Step-by-step explanation:
-9 ÷ (3(3) > -2
-9 ÷ 9= -1
-1 > -2
this is true
Can someone help me really quick!?
Answer:
Yes its 2nd, 4th, and 5th
Step-by-step explanation:
At midnight what temperature is -6C. At midday the temperature is -9C. By how much did the temperature rise ?
Answer:
It didn’t go up, it went down 3 degrees
Step-by-step explanation:
It’s negative degrees so the less negative it is the higher it is.
Answer:
it rose by -3C, or went down 3C
Step-by-step explanation:
A certain manufacturing plant produces electric fuses of which 20% are defective. Find the probability that in a sample of 8 fuses selected at random there will be atleast one defective and not more than one defective.
Answer:
0.419
Step-by-step explanation:
To calculate this, we shall make use of Bernoulli approximation of Binomial distribution
if 20% are defective, then 80% are not defective
Probability of selecting a defective fuse is 20/100 = 0.2
Probability of selecting a non defective one is 0.8
Probability of at least 1 being defective is = 1 - Probability of none being defective
Mathematically that will be;
0.8^8 = 0.168
The above is probability of none defective
So the probability of at least one will be
1 - 0.168 = 0.832
Probability of not more than 1 means;
Probability of none + probability of 1 being defective
We already have probability of none above
Probability of 1 being defective means 8 will be non defective
The probability in this case is;
8 C 1 0.2^1 0.8^7
= 8 * 0.2 * 0.8^7 = 0.336
Add this to the probability of none = 0.336 + 0.168 = 0.504
So the probability that we want to calculate from the question will be;
Probability of at least one defective * probability of not more than one defective
= 0.832 * 0.504 = 0.419
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP
mga solusyon sa epektibong komunukasyon sa pamilya
Answer:
Translation: Solutions to effective family education
Step-by-step explanation:
ILL MARK AS BRAINLESS PLS HELP
Answer:
5765/574
Step-by-step explanation:
there u go lol
is 6^p > 0, then p > 0. Is this statement true, sometimes true, or not true?
Answer:
true
Step-by-step explanation:
Henry rode his motorcycle from his house to a friend's house. After riding 10 miles, he realizes he has traveled 2/3 of the way. How far is Bob's house from his friend's house?
A. 20 miles
B. 15 miles
C. 12 miles
D. 25 miles
Step-by-step explanation:
2/3 of diatance = 10 miles
3/3 of distance = 10 * (3/2) = 15 miles.
The distance between the houses is 15 miles. (B)
Let the total distance covered= x
Distance covered= 10 miles
According to the question,
2/3 of x= 10
=> 2/3 × x= 10
=> 2x/3= 10
=> 2x= 10× 3
=> 2x= 30
=> x= 30/2
=> x= 15
Bob's house is 15 miles away from Henry's house.
A conveyor belt carries supplies from the first floor to the second floor, which is 22 feet higher. The belt makes a 60° angle with the ground. a. How long is the conveyor belt? Round your answer to the nearest foot. b. If the belt moves at 75 ft/min, how long does it take the supplies to move to the second floor? Round to the nearest tenth.
Answer:
a) 44[tex]\sqrt{3}[/tex]/3 feet
b) .3 minutes
Step-by-step explanation:
We know all three of the angles: 30 60 90. So we can divide 22 by [tex]\sqrt{3}[/tex], and then multiply that number by 2. We cannot have a radicand in the bottom, so multiply the denominator and numerator by
for b), simply divide a) by 75 ft/min, which is approximately .3 minutes.
if rst ≅ npq, m∠r = -7x +9, m∠n= -10x, find m∠r and m∠n
Answer:60
Step-by-step explanation: x=10
-7+9=2*10=20
-10*10=100
180-100-20=60
could someone help please? this is hard
Step-by-step explanation:
1/8+1/4+1/8=1/8+2/8+1/8=4/8=1/2
Answer:
1,2,1, 4, 1
These numbers correspond with the boxes in order from left to right.
Find the diagonal of the box using the Pythagorean Theorem.
Answer:
26 cm
Step-by-step explanation:
Given:
Length = 24 cm
Width = 8 cm
Height = 6 cm
Required:
Diagonal of the box
SOLUTION:
Using the pythagorean theorem, [tex] a^2 + b^2 + c^2 = d^2 [/tex], where,
a, b and c are the dimensions of the box, and d is the length of the diagonal.
Plug in the value into the formula
[tex] 24^2 + 8^2 + 6^2 = d^2 [/tex]
[tex] 676 = d^2 [/tex]
[tex] \sqrt{676} = \sqrt{d^2} [/tex]
[tex] 26 = d [/tex]
Length of diagonal of the box = 26 cm
which statement is true
Answer:
the answer is B that is
ΔABC is similar to ΔEDC
Step-by-step explanation:
look at the figure abc and edc completely match together as a is a right angle and is at the the first, similarly e is also a right angle and is at the first. also b is at the same place as d i.e. in between the right angle and the last angle.
moreover, c is at the last in abc just like in edc
one factor of 8x^3+1 is 2x+1 The other factor is?
50 POINTS!!! If you’re a frequent flyer who travels to many different airports, and you have a choice between SkyWest Airlines (OO) and Southwest Airlines (WN) for all your flights, which carrier should you choose if your primary concern is arriving on time?
Answer:
Southwest
Step-by-step explanation:
Southwest always has good timing.
Answer:
SouthWest airlines
Step-by-step explanation:
It is the best Airlines and will always arrive on time
1. Martin was given 10 math problems, and he has answered 7 of them. what precent of problems does martin have left to do?
A) 3%
B) 7%
C) 30%
D) 70%
Martin still has 30% of the problems left to do.
Answer:
D)30%
Step-by-step explanation:
Which equation represents a line with a slope of -2/3
and passes through the point (6,-2)?