Answer:
A
Step-by-step explanation:
edg2021
One method to find angle B is A. use the Pythagorean theorem to find BC, then solve the equation tan(B)=8/BC.
What is Pythagoras Theorem?Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.
Given is a right angled triangle ABC with the hypotenuse being AB and the legs AC is the base and BC is the height.
Given AC = 8 and AB = √89.
We need to find the measure for angle B.
Either we can find angle B using Sin B = Opposite side / hypotenuse
Sin B = 8 / √89
But this is not in the option.
So first find the length of BC using the Pythagoras Theorem.
(BC)² = (AB)² - (AC)²
= (√89)² - (8)²
= 25
BC = √25 = 5
We get the opposite side and adjacent side with respect to angle B.
Tan B = AC / BC = 8 / 5 = 1.6
B = 57.99° ≈ 58°
Hence the approximate measure of angle B is 58°.
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Find the 18h term of the arithmetic sequence whose common difference is d=4 and whose first term is a, =3.
Answer:
the 18th term is 71
Step-by-step explanation:
The general form for any term "n" in an arithmetic sequence is:
a(n) = a1 + (n-1) * d
where "d" is the common difference.
So, in our case we have:
a(n) = 3 + (n-1) *4
Therefore, the 18th term will be:
a(18) = 3 + (18 - 1) 4 = 3 + 17 * 4 = 71
Translate the pre image
(x+12, y+11)
what are the coordinates of the image?
Answer:
-12 , -11
0,0
12, 11
24, 22
Step-by-step explanation:
What number decreased by 23% is equals 123?
Answer: Lets call the number x
decreased means subtraction. If x is decreased bt 23% then the result is
x-23%(x) = x-(23/100)x or x-.23x
x-.23x=539
.77x=539
x=539/.77
x=700
check: 700-.23(700)=539
700-161=539
539=539
Our answer is correct
Step-by-step explanation:
hope this helps❤️❤️❤️
What value of x will make the equation below true?
8x=4x+16
Answer:
x=-2
Step-by-step explanation:
1/2 (16x + 20)
Need help
Answer: let's say x = 1
16 x 1 =16
16+20=36
36x1/2=18
Step-by-step explanation:
what is the square root of 36
Answer:
6 !
Step-by-step explanation:
since 6 x 6 = 36, the square root is 6 !
square root is when u multiply two same numbers for the output... so like 49 would b 7, since 7 x 7 = 49 !!
im not sure if that makes any sense, but i hope it helps !!
PLEASE HELP ME match the equations at the bottom of the screen to the graph.TYSM
Answer: It's given in the equations.
Step-by-step explanation:
First One
f(x) = -2^x
Second
f(x) = -4(2)^x
Third
f(x) = 4(2)^x
Fourth
f(x) = 2^x
Doreen Schmidt is a chemist
Answer:
that isnt a question but good to know! :)
Step-by-step explanation:
the cost of New York Yankees baseball cap is 24.00. The local sporting goods store sells it for $30.00. markup rate
Which is greater. 12 laps in 8 minutes or 16 laps in 10 minutes
Answer:
16 laps in one minute
Step-by-step explanation:
If you divide it you can find that the person will run 1.6 laps in a minute and the other one will run 1.5 laps in 1 minute.
diego has some money in his bank account before he starts a summer job. he deposits the money from the summer job in his bank account and doesn't spend any of it. After working 3 hours, he has $71 in the account. After working 12 hours, he has $134 in the account.
How much money does diego earn per hour
Answer:
About $23.77 per hour.
Step-by-step explanation:
Just thank me later and click the crown at the top of this answer if this helped ;)
The Diego earn [tex]\$ 7[/tex] per hour.
Calculation:Given that,
After working 3 hours, he has $71 in the account.
After working 12 hours, he has $134 in the account.
It means that, After working 9 hours,
Diego earn [tex]=134-71=63[/tex]
In 9 hours, earning [tex]=63\$[/tex]
In one hour, earning [tex]=63/9=\$7[/tex]
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One number is seven more than six times another number. If the sum of the numbers is 21, find the numbers
Answer:the two numbers are 2 and 19
Step-by-step explanation:
Let one of the numbers be x
and the second be 7+ 6x
so that the sum of the two numbers which totals 21 be expressed as
x + (7+ 6x) = 21
x+ 7+6x= 21
7 + 7x = 21
7x= 14
x= 14/7 = 2
one of the numbers = 2
the other number given as
7+ 6x = 7+ 6 x 2= 7+12= 19
The numbers are 2 and 19 .
The numbers as described in the question are; 2 and 19
Solving word problemsFrom the given problem statements;
The first number = y
The second number = x
Hence, y = (7 + 6x)
Their sum is therefore;
x + 7 = 6x = 217x = 14x = 2Hence, the second number is; 7 + 6x = 7 + 6(2);
y = 19Read more on word problems;
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Jamal spent 1 1/2 hours studying for his science test ruby studied for 1/3 the amount of time that Jamal studied what fraction of an hour did ruby spend studying
Answer:
First square 1 out of 3 are colored. Second square 1 out of 6 are colored in.
Step-by-step explanation:
Choose the model that matches the situation.
A fraction is a way to describe a part of a whole. The fraction of an hour for which Ruby studied is (1/2).
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Given that Jamal spent 1 1/2 hours studying for his science test, while Ruby studied for 1/3 the amount of time that Jamal studied. Therefore, we can write,
[tex]\rm \text{Time for which Ruby studied} = 1\dfrac12 \times \dfrac13\\\\\text{Time for which Ruby studied} = \dfrac32 \times \dfrac13 = \dfrac12\ hours[/tex]
Hence, the fraction of an hour for which Ruby studied is (1/2).
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What is this picture an example of ?
A. Translation
B. 90 degree
C. 270
D.reflection
Answer:
(B). 90 degree
Step-by-step explanation:
it's not a or c or D it's only B
Shannon drank 1/5 cup of milk
and 3/4 cup of water. How much
did she drink altogether?
Answer
Answer:
does it have to be simpilfied? if not: 19/20
Step-by-step explanation:
100000000000000000000+10000000000000000
Answer:
1.0001e+20
Step-by-step explanation:
Answer:
1.0001e+20
Step-by-step explanation:
X+y = -15 in y = mx+b form
Answer:
y=-15x+b
Step-by-step explanation:
Just move it around and use a calucator
In a city election, 5,000 people voted for mayor. If the new mayor received 60% of the votes, how many people voted for the new mayor? Show how you know.
Answer:
3000
Step-by-step explanation:
100%-> 5000
60%->3000
(9,18)(4,3) find the slope
Answer:
m (slope) = 3
Step-by-step explanation:
Slope is equal to the change in y over the change in x, or rise over run.
m= 3-(18) / 4-(9)
simplify
m=3
Answer:
3
Step-by-step explanation:
Harvey the wonder hamster can run 3 1/6 km in 1/4 hour. Harvey runs at a constant rate
Find his average speed in kilometers per hour.
Answer:
12 2/3 KMPH
Step-by-step explanation:
3 1/6 x 4 (reciprical of 1/4) = 12 2/3
Mom is planting a rose garden in the backyard. The scale drawing shows the garden. What is the actual width and length of the rose garden?
A: length = 34 feet
B: width = 10 feet
C: width = 5 feet
D: length = 17 feet
Answer:
34
Step-by-step explanation:
your family went out to dinner to celebrate your grandmas 100th birthday. The total for the dinner was $208.60, so your parents left a $31.29 tip. What percent of the bill was the tip?
Answer:
[tex]\%Tip = 13.04\%[/tex]
Step-by-step explanation:
Given
[tex]Tip= \$31.29[/tex]
[tex]Bill = \$208.60[/tex]
Required
Determine the percentage of the tip
First, we calculate the amount paid
[tex]Amount = Tip + Bill[/tex]
[tex]Amount = \$31.29 + \$208.60[/tex]
[tex]Amount = \$239.89[/tex]
The percentage of the tip is then calculated using:
[tex]\%Tip = \frac{Tip}{Amount} * 100\%[/tex]
[tex]\%Tip = \frac{31.29}{239.89} * 100\%[/tex]
[tex]\%Tip = \frac{31.29* 100}{239.89} \%[/tex]
[tex]\%Tip = \frac{3129}{239.89} \%[/tex]
[tex]\%Tip = 13.04\%[/tex]
The number 18 is which percentage of 15
Answer:
120%
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
18 dived by 15 times 100.
Apply the distributive property to create an equivalent expression.
6(5x – 3)=
Answer: 30x-18
Step-by-step explanation:
4) 4x + 3y = 56
2x + y = 24
Solve using elimination please show work
Answer:
x = 8 y = 8
Step-by-step explanation:
Multiply 2nd equation by -3 to get -6x - 3y = -72
Now 4x + 3y = 56
-6x - 3y = -72
-2x = -16
x = 8
Substitute x = 8 into the 2nd equation
2(8) + y = 24
16 + y = 24
y = 8
Check: Substitute the values into the 1st equation
4(8) + 3(8) = 32 + 24 = 56 So we have the correct values for x and y
Match the reasons with the statements in the proof.
Answer:
for some reason i cant see ur attachment. lo siento
12b – 5 = 3b
How do you solve for b
Answer:
b=5/9
Step-by-step explanation:
Quentin can read 18 pages of a book in 2 hours. How many pages can he read in 10 hours? PLEASE HELP ASAP FOR 17 POINTS!
Answer:
90 pages in 10 hours :)
Answer:
90 pages
Step-by-step explanation:
First, you need to find the unit rate of how many pages he can read.
So, you divide 18 pages by 2 hours = 9 pages per hour.
Then, you multiply 9*10 hours to find out how many pages he will read in 10 hours.
You get 90.
Consider the following set of data:
19 67 81 34 61 52 94 68 16
Round to 1 decimal for each answer if needed. If there is no mode type NONE in the answer box. If there is more than one mode, separate each value with a comma.
Mean =
Median =
Mode=
Find the measure of the angle, θ, where 0° ≤ θ ≤ 90°.
sinθ = 1/2
Answer:
[tex]\theta = 30^{\circ}[/tex]
Step-by-step explanation:
Given:
Range: [tex]0^{\circ} \le \theta \le 90^{\circ}[/tex]
[tex]Sin \theta = \frac{1}{2}[/tex]
Required
Find [tex]\theta[/tex]
[tex]Sin \theta = \frac{1}{2}[/tex]
Take arcsin of both sides
[tex]sin^{-1}(sin\theta) = sin^{-1}(\frac{1}{2})[/tex]
[tex]\theta = sin^{-1}(\frac{1}{2})[/tex]
Using the sin table
[tex]\theta = 30^{\circ}[/tex]
