Find the value of the angle θ rounded to 1 DP.
The diagram is not drawn accurately.
Answers
The measure of the indicated angle θ is approximately 39.9°.
Use the concept of a triangle defined as:
A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.
After labeling the figure
In triangle ABC
Sin θ = AC/AB
Sin 26° = AC/19
AC ≈ 0.44 x 19
AC ≈ 8.36
Now in Triangle ADC,
tan θ = (opposite side of θ)/(Adjacent side)
tan θ ≈ 7/8.36
tan θ ≈ 0.837
Take the inverse of tan on both sides, we get,
θ ≈ 39.9°
Hence,
The value of angle θ is approximately 39.9°.
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Related Questions
The leg of a right triangle is 5 units and the hypotenuse is 8 units. What is the length, in units, of the other leg of the triangle?
89 Units
Answers
Answer:
The other leg is equal to 6.24 units.
Step-by-step explanation:
Using the Pythagorean Theorem:
[tex]a^2 + b^2 = c^2[/tex]
However we need to find b:
[tex]c^2-a^2=b^2[/tex]
Substitute:
[tex]8^2-5^2=b^2[/tex]
[tex]64-25=b^2[/tex]
[tex]b^2=39[/tex]
Find the square root:
[tex]\sqrt{39}=6.24[/tex]
The other leg is equal to 6.24 units.
Identify the domain of the function shown in the graph.
10.
A. 0
B. x < 0
C. x > 0
D. xis all numbers.
Answers
what’s the answer? i’m doing that quiz rn i’m on this question.
The domain of the function shown in the graph is x>0.
What is a function?A function is the relation between two sets. It relates from the domain set to the range set.
Here, the given graph represents an exponential function starting from (0, 0).
The given graph approaches towards the right along with the x-axis.
Therefore, the initial value of the independent variable in the given function is 0.
Hence, the domain of the given function is x>0.
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mckezie's rabbit ears 1/3 of a pound of food each day if mckenzie buys a 20 pound bag of food how many days will she be able to feed her rabbit
Answers
Answer:
She can feed her rabbit for 60 days!
Step-by-step explanation:
Turn 20 into a fraction:
[tex]\frac{20}{1}[/tex]
Make sure it has the same denominator:
(Remember: what you do to one side, you must do to the other)
[tex]\frac{20}{1} *\frac{3}{3}= \frac{60}{3}[/tex]
This means that if the rabbit eats 1/3 of a pound a day, she will be able to feed her rabbit for 60 days.
The points in the table lie on a line. Find the slope of the line.
х
-3
2
7
12
y
0
2
6
4
The slope is
Answers
Answer:
4/5
Step-by-step explanation:
6 - 2 = 4
7 - 2 = 5
is it proportional or non proportional
Answers
Answer:
proportional
Step-by-step explanation:
13/2=6.5
19.5/3=6.5
26/4=6.5
32.5/5=6.5
so if all equal the same they are proportional
find the value of x in the triangle shown below
Answers
And then that would be:
x^2 + 16 = 81
So then by combining like terms:
x^2 = 65
So x = square root of 65.
Brainliest, thanks. :)
Suzanne buys upgrades for her computer. The upgrades cost $311.60 before taxes. The sales tax rate is 6.75%. What is the amount of sales tax Suzanne will pay?
Answers
Answer:
21.03
Step-by-step explanation:
First you multiply 311.60 by 0.0675 which is 21.03.
1. The amount of area covered by blackberry bushes in a park has been
growing by 12% each year. It is estimated that the area covered in 2009
was 4,500 square feet. Estimate the area that will be covered in 2020.
Answers
the grade 8 has hired a disk jockey the disk jockey takes 85$ plus 2 for each student that attends. The disk jockey was paid 197 how many students attended
Answers
Answer:
56 students
Step-by-step explanation:
The equation for your question is 85+2x=197. First you would have to subtract 85, on both sides, leaving you with 2x=112. Then, you'd have to divide by 2 on both sides to isolate the variable. From there, you're left with x=56.
A fast food restaurant serves an average of 40 customers per hour. On average, how many minutes does each customer wait for his or her order? (Hint: finds minutes per customer, not customer per minute)
Answers
Answer:
I think it's 1.5 minutes because 60/40=1.5
Step-by-step explanation:
The compressive strength of samples of cement can be modeled by a normal distribution with a mean of 6000 kilograms per square centimeter and a standard deviation of 100 kilograms per square centimeter. (a) What is the probability that a samples strength is less than 6250 kilograms per square centimeter? (b) What is the probability that a samples strength is between 5800 and 5900 kilograms per square centimeter? (c) What strength is exceeded by 95% of the samples?
Answers
Answer
a
[tex]\Phi (2.5) = 0.9938[/tex]
b
[tex]P(5800 < X < 5900 ) = 0.13591 [/tex]
c
[tex]x = 5835.5 [/tex]
Question
From the question we are told that
The mean is [tex]\mu = 6000 \ kg/cm^2 [/tex]
The standard deviation is [tex]\sigma = 100 \ kg/ cm^2 [/tex]
Generally the probability that a samples strength is less than 6250 kilograms per square centimeter is mathematically represented as
[tex]P(X < 6250 ) = P(\frac{ X - \mu}{\sigma } < \frac{6250 - 6000 }{100} )[/tex]
Generally [tex]\frac{X - \mu }{\sigma } = Z(The \ standardized \ value \ of \ X )[/tex]
[tex]P(X < 6250 ) = P(Z< 2.5 )[/tex]
From the z-table
[tex]\Phi (2.5) = 0.9938[/tex]
Generally the probability that a samples strength is between 5800 and 5900 kilograms per square centimeter is mathematically represented as
[tex]P(5800 < X < 5900 ) = P(\frac{5800 - 6000}{100} < \frac{X -\mu}{\sigma} < \frac{5900 - 6000}{100} )[/tex]
=> [tex]P(5800 < X < 5900 ) = P(-2< Z< -1 )[/tex]
=> [tex]P(5800 < X < 5900 ) = P(Z < -1) - P( Z< -2 )[/tex]
From the z-table
[tex]P(Z < -2) = 0.02275[/tex]
and
[tex]P(Z < -1) = 0.15866[/tex]
So
[tex]P(5800 < X < 5900 ) = 0.15866 - 0.02275[/tex]
=> [tex]P(5800 < X < 5900 ) = 0.13591 [/tex]
Generally the strength that is exceeded by 95% is mathematically evaluated as
[tex]P(X > x) = 1- P(\frac{X - \mu }{\sigma} \le \frac{x- 6000}{100}) = 0.95 [/tex]
=> [tex]P(X > x) = P(Z \e \frac{x- 6000}{100}) = 0.05 [/tex]
From the normal distribution table the critical value of 0.05 is
[tex]z = - 1.645[/tex]
So
[tex]\frac{x- 6000}{100} = - 1.645[/tex]
=> [tex]x = (-1.645 * 100) + 6000[/tex]
=> [tex]x = 5835.5 [/tex]
A function has a derivative f 1(x)=3-2x. An equation of a line tangent to the graph of the function at x =2 is y-7=-(x-2). What is an equation of the function f?
Answers
98 times 871 plus pi
Answers
Answer:
85361.1415927
Step-by-step explanation:
Answer:
85361.141
Step-by-step explanation:
did it on a calculator
PLEASE ANSWER QUICKLY
Samantha plays on the softball team for her school. She strikes out twice every nine times
she is at bat. If she struck out 14 times this season, how many times was she at bat?
3.1
07
54
O
63
Answers
Answer:
63 :)
Step-by-step explanation:
A box of cereal states that there are 81 calories in a 7-cup serving. What is the unit rate for calories
per cup? How many calories are there in 2 cups of the cereal?
The unit rate is calorie(s) per cup.
(Simplify your answer. Type an integer, proper fraction, or mixed number.)
Enter your answer in the answer box and then click Check Answer
1 remaining
Clear All
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O
SI
AC 40)
S50 AM
9/25/2020
Answers
Answer:
23.142857143 calories or 23 1/7 calories
The unit rate is calories per cup
Step-by-step explanation:
7- cup serving = 81 calories
2 cups = x calories
Cross Multiply
2 cups × 81 calories = 7 cups × x
x = 2 cups × 81 calories/7 cups
x = 23.142857143 calories or 23 1/7 calories
5. Sally is selling seashells by seashore. She earns $0.50 for every seashell she sells, and has
already sold 8 seashells. She can only sell a maximum of 89 seashells. The function of her
profits can be modeled by f(x)=$0.50. What is the domain and range of the function?
Answers
Answer:
Do you know the answer I have the same question..?
Step-by-step explanation:
7th grade math , I’ll give brainliest
Answers
Answer:
3. 11
4. -8
Step-by-step explanation:
The following are rational expression in simplified form EXCEPT.
Answers
Answer:
D
Step-by-step explanation:
Since D is 18x/9 , you can divide 18 by 9 and you end up with 2x
She borrows $25.63 from her sister to help pay for the dress. Then Jenny earns $16.33 helping her dad organize his home office. If she gives all the earnings to her sister, Jenny will still owe her sister $?
Answers
The answer to this question is: Jenny will still owe her sister $9.30.
25.63 - 16.33 = 9.30
slope=4 and passes through (3,2)
Answers
Answer:
y = 4x - 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 4 , thus
y = 4x + c ← is the partial equation
To find c substitute (3, 2) into the partial equation
2 = 12 + c ⇒ c = 2 - 12 = - 10
y = 4x - 10 ← equation of line
M∠LONm, angle, L, O, N is a straight angle. \qquad m \angle LOM = 9x - 91^\circm∠LOM=9x−91 ∘ m, angle, L, O, M, equals, 9, x, minus, 91, degrees \qquad m \angle MON = 6x + 76^\circm∠MON=6x+76 ∘ m, angle, M, O, N, equals, 6, x, plus, 76, degrees Find m\angle MONm∠MONm, angle, M, O, N:
Answers
Answer:6
Step-by-step explanation:
Answer: 154
Step-by-step explanation:
What is the supplement of an angle that
measures 21 degrees?
Answers
Answer:
159°
Step-by-step explanation:
Supplements equal a total of 180°. The expression for these types of problems would be
180-x
In this case, x would be 21. Plug it in to our expression.
180-21
159
Pleasee help
Which set of ordered pairs does not represent a function?
A\{(8, -9), (7, -3), (6, -9), (9, 7)\}{(8,−9),(7,−3),(6,−9),(9,7)}
B\{(-4, 5), (1, 0), (1, -3), (8, 3)\}{(−4,5),(1,0),(1,−3),(8,3)}
C\{(-7, 5), (5, 5), (-3, 9), (0, -3)\}{(−7,5),(5,5),(−3,9),(0,−3)}
D\{(5, -2), (1, -7), (-3, -3), (-4, -2)\}{(5,−2),(1,−7),(−3,−3),(−4,−2)}
Answers
Answer:
B
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
Solve for g.
2(g - 13) = 12
g
Answers
Answer:
-2
Step-by-step explanation:
What are the x- intercepts of the graph of the function below ? Y=x^2-4x-32
Answers
Answer:
-4 and 8
Step-by-step explanation:
brainlist pls :>
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answers
Answer:
Its distributive property for the first question
Step-by-step explanation:
Compare the ratios using the models.
2 models. One model has 5 sections and is labeled 4 to 5. The second model has 10 sections and is labeled 9 to 10.
The left model should have
segments shaded.
The right model should have
segments shaded.
So, 4:5
9:10.
Answers
Answer:
the left model should have 4 segments shaded the right model should have 9 segments shaded
Step-by-step explanation:
i did the quiz
Answer:
A. 4
B. 9
C. <
Step-by-step explanation:
The mapping below shows y as a function fo x?
True
False
Answers
Answer:
False
Step-by-step explanation:
x is the input and y is the output
the same input cannot have more than 1 output
-8 has 1 output
5 has 1 output
but "1" has 2 outputs
3. Kendall is going to a store that sells a
bottle of iced tea for $1.99 and a pack of
six bottles for $9.65. Kendall buys five
bottles of iced tea. Is Kendall being
financially responsible or financially irresponsible? Explain.
Answers
Answer: financially irresponsible
Step-by-step explanation:
Kendall is buying 5 for $9.95 when she could buy 6 for $9.65 which would get her another bottle and save 30 cents
4. T-Bone's Math teacher requires 6 book
reports the 1st semester. T-Bone has 4
more reports to complete. How many
book reports has T-Bone already
finished?
x - 4 = 6
x + 4 = 6
Answers
Answer:
2
Step-by-step explanation:
6-4=2
