Answers
Step-by-step explanation:
First, use the Pythagorean theorem to find cos x.
[tex] \sin {}^{2} (x) + \cos {}^{2} (x) = 1[/tex]
[tex] (\frac{7}{9} ) {}^{2} + \cos {}^{2} (x) = 1[/tex]
[tex] \cos {}^{2} (x) = 1 - \frac{49}{81} [/tex]
[tex] \cos {}^{2} (x) = \frac{32}{81} [/tex]
[tex] \cos(x) = \frac{4 \sqrt{2} }{9} [/tex]
Now, use the quotient identity
[tex] \tan(x) = \frac{ \sin(x) }{ \cos(x) } [/tex]
[tex] \tan(x) = \frac{ \frac{7}{9} }{ \frac{4 \sqrt{2} }{9} } [/tex]
[tex] \tan(x) = \frac{7}{4 \sqrt{2} } [/tex]
[tex] \tan(x) = \frac{7 \sqrt{2} }{8} [/tex]
The answer is A
Related Questions
Joe thinks the area to be pantries on wall 2is 84 square feet.
Answers
Please put a picture next time :)
You are a contestant on a game show called “Bargain or No Bargain.” You are presented with three briefcases, which contain rewards of $700,000, $1,000, and $100. The host of the show says you can either open one random case and keep the amount inside, or you can accept a guaranteed award of $240,000. What is the mathematically correct decision, and why?
A.
Take the $240,000, because it is greater than the expected value of the briefcases.
B.
Choose a briefcase, because the expected value is greater than $240,000.
C.
Choose a briefcase, because the expected value is less than $240,000.
D.
Take the $240,000, because it is less than the expected value of the briefcases.
Answers
Please graph y=log3(x+2) and then find the asymptote domain and range
Answers
Answer:
Step-by-step explanation:
y = a * log_b (x - h) + k
(h,k) = (x,y)
h = shift right/left
k = shift up/down
Original Points of y = log_3
y = log_3 (x + 2)
h = -2 thus shift left.
Asymptote: x = -2
Domain: [-2 , +inf)
Range: (-inf , +inf)
A rectangular prism has a length of 20 meters, a height of 12 meters, and a width of 12 meters. What is its volume, in cubic meters?
PLEASE HELP ASAP ME AND MY FRIEND ARE STRUGGLING
Answers
Answer:
2880
Step-by-step explanation:
V=whl=12·12·20=2880
A girls' softball team is raising money for uniforms and travel expenses. They are selling flats of bedding plants for $12.00 and hanging baskets for $27.00. They hope to sell three times as many flats of bedding plants as hanging baskets. If they do, their total revenue will be $6300. How many flats of bedding plants do they hope to sell?
Answers
Steps:
27x100 = 2700
12x300=3600
3600+2700=6300
The financial planner for a beauty products manufacturer develops the system of equations below to determine how many combs must be sold to generate a profit. the linear equation models the income, in dollars, from selling x plastic combs; the quadratic equation models the cost, in dollars, to produce x plastic combs. according to the model, for what price is each comb being sold? startlayout enlarged left-brace 1st row y = startfraction x over 2 endfraction 2nd row y = negative 0.03 (x minus 95) squared 550 $0.03 $0.50 $0.95 $2.00
Answers
The price of each comb is $0.5, if the linear equation y = x/2 models the income, in dollars, from selling x plastic combs
What is an equation?An equation is an expression that shows the relationship between two or more number and variables.
Profit = income - cost
Given that the linear equation y = x/2 models the income, in dollars, from selling x plastic combs. Hencee:
Price of each comb = (x/2) / x = 0.5
The price of each comb is $0.5, if the linear equation y = x/2 models the income, in dollars, from selling x plastic combs
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Answer:
$0.50
Step-by-step explanation:
The answer above is correct.
It takes 5 gardeners 48 hours to landscape a gArden how long w I'll it take 8 gardeners to landscape same garden
Answers
The time is taken by the 8 gardeners to landscape the same garden will be 30 hours.
What are ratios and proportions?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.
It takes 5 gardeners 48 hours to landscape a garden.
Then the time taken by the 8 gardeners to landscape the same garden will be
The relationship between the gardeners and time is inversely proportional. Then we have
Let x be the time taken by the 8 gardeners. Then we have
8x = 5×48
x = 30 hours
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Find a time where the hour and minute hand are 40 degrees apart.
Answers
Answer:
At 4:40, the minute hand is on the 8, and the hour hand is two-thirds of the way from the 4 to the 5
solve for x. Show each step of the solution x/16 = 3/8
Answers
Answer:
x = 6
Step-by-step explanation:
x/16 = 3/8
Step 1: Cross-multiply.
x/16 = 3/8
x*(8) = (3)*(16)
8x = 48
Step 2: Divide both sides by 8.
8x/8 = 48/8
*Ta da!*
x = 6
- Have a great day! -
In January 2020 oil price was $1251 but in April 2020 the price was $1902. What is the percent increase or decrease.
Write your answer without the % to the nearest tenths
Answers
A ladder that is 5 meters long is leaning against a wall. The vertical height from the base of the wall to the top of the ladder is 3 meters. If ∠θ is the angle that the ladder makes with the ground, what is the approximate measure of ∠θ?
Answers
The approximate angle that the ladder makes with the ground is 37 degrees
Angle of elevationThe given question will be solved using the SOH CAH TOA identity.
The given statement will form a right triangle with the following parameters
Hypotenuse = 5m
Height(opposite) .= 3m
Determine the approximate measure of ∠θ
sin ∠θ = opp/hyp
sin ∠θ = 3/5
sin ∠θ = 0.6
∠θ = arcsin(0.6)
∠θ = 37degrees
Hence the approximate angle that the ladder makes with the ground is 37 degrees
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This is about to be due in 10 mins.
Find the area:
Answers
The area of the composite figure in the given diagram is calculated as: 152 square inches.
What is the Area of a Composite Figure?The area of a composite figure is gotten by decomposing the figure into known shapes and finding the area of each of the shapes.
The area of the figure = area of bigger rectangle + area of smaller rectangle = lw + lw
The area of the figure = (20)(6) + (8)(4)
The area of the figure = 152 in.²
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What is the volume of this figure?
Answers
Answer:
4,105 yd cubed
Step-by-step explanation:
This can be divided into three rectangular prisms, one of which is constructed from triangular prisms
19*9*10 = 1,170 yd
30*9*7 = 1,890 yd
10*5.5*9 = 1,045 yd
Adding them all together gets
4,105 yd cubed
b. Calculate the monthly payments and total payment you will be making on your loan if you do use the $5,000 to make an initial payment. Monthly Payment: Total Amount Paid:
Answers
Answer:
Read the excerpt from "Digging"The cold smell of potato mould, the squelch and slapOf soggy peat, the curt cuts of an edgeThrough living roots awaken in my head.But I’ve no spade to follow men like them.Between my finger and my thumbThe squat pen rests.I’ll dig with it.Read the haiku by Bashō. When the winter chrysanthemums go,there’s nothing to write about but radishes.What common concern do these poems share?
Step-by-step explanation:
Read the excerpt from "Digging"The cold smell of potato mould, the squelch and slapOf soggy peat, the curt cuts of an edgeThrough living roots awaken in my head.But I’ve no spade to follow men like them.Between my finger and my thumbThe squat pen rests.I’ll dig with it.Read the haiku by Bashō. When the winter chrysanthemums go,there’s nothing to write about but radishes.What common concern do these poems share?
PLEASe help 30POINTS
What is the length of segment AB ?
Answers
Answer:
[tex]\sqrt{74}[/tex]
Step-by-step explanation:
Distance between two points
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\textsf{let}\:(x_1,y_1)=(2,-6)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(7,1)[/tex]
[tex]d=\textsf{length of segment AB}[/tex]
Substituting points into the distance formula and solving for d:
[tex]\implies d=\sqrt{(7-2)^2+(1-(-6))^2}[/tex]
[tex]\implies d=\sqrt{5^2+7^2}[/tex]
[tex]\implies d=\sqrt{25+49}[/tex]
[tex]\implies d=\sqrt{74}[/tex]
================================
[tex] \large \sf \underline{Answer:}[/tex]
[tex] \qquad\qquad \qquad \huge \bold{\sqrt{74} }[/tex]
================================
[tex] \large \sf \underline{Solution:}[/tex]
Solving;
[tex] \sf{D=\sqrt{(7-2)^2+(1-(-6))^2}}[/tex][tex] \sf{D=\sqrt{5^2+7^2}}[/tex][tex] \sf{D=\sqrt{25+49}}[/tex][tex] \sf \underline {\pmb{D=\sqrt{74}}}[/tex]Hence, the length of segment AB is √74.
================================
Flying with the wind, a plane flew 1,200 mi in 4 h. Against the wind, the plane required 6 h to fly the same distance. Find the rate of the plane in calm air and the rate of the wind.
Answers
Answer:
Rate of plane = 250 mph
Rate of wind = 50 mph
Step-by-step explanation:
Let the speed of the plane in calm air be x mph& speed of the wind be y mphSpeed of plane with wind = (x + y) mphSpeed of plane against wind = (x - y) mphFormula relating speed, time and distance is given as: speed*time = distanceAccording to the first condition: (x+y)*4 = 1200-> x + y = 300 (1)According to the second condition: (x-y)*6= 1200-> x - y = 200 (2)Adding equations (1) & (2), we find:2x = 500-> x = 250 (Dividing 500 by 2)-> y = 50 (Plugging x = 250 in eq 1)Rate of plane = 250 mphRate of wind = 50 mphPLS HELP QUICKLY
Data was collected at a pool. It showed that being older does not imply that a swimmer will stay for a shorter or longer amount of time. What is likely true?
There is no correlation between age and length of stay.
There is a correlation between age and length of stay. There may or may not be causation. Further studies would have to be done to determine this.
There is a correlation between age and length of stay. However, there is no causation. This is because there is likely an increase in the length of stay with a decrease in age.
Answers
The true statement is there is no correlation between age and length of stay.
What is correlation?
Correlation is a statistical measure used to measure the relationship that exists between two variables. For example, if the older a child is, the longer he would stay at the pool. it can be said that there is a positive correlation.
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A school nutritionist wanted to Determine which type of lunch was most popular to do this she kept track of the number of each top of lunch sold to the students in one day how many more burger lunches than chicken lunches for salt
Answers
A ratio shows us the number of times a number contains another number. The number of students the cafeteria should expect to buy chicken is 260.
What is a Ratio?A ratio shows us the number of times a number contains another number.
The ratio of the number of students to the number of total students can be written as,
Ratio = (Number of students)/(Number of total students)
Ratio = 52/(52+26+30+48+44) = 52/200
Now, the same ratio is applicable to 1000 students, therefore, the ratio will be,
Number of students who prefer burgers= 1000 × (52/200) = 260
Hence, the number of students the cafeteria should expect to buy chicken is 260.
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Which system of equations is represented in the graph? I could really use some help!
Answers
Answer:
This is your teacher if you do this again, I will contact your parents and you will get in big trouble.
Step-by-step explanation:
A board 120inches long is divide into 2 sections. If the ratio of the 2 sections. 3:5 Wht are the lengths of the section
Answers
Answer:
45, 75
Step-by-step explanation:
3+5 = 8
120 / 8 = 15
15 x 3 = 45
15 x 5 = 75
Answer:
45,75
3+5 = 8
120 / 8 = 15
15 x 3 = 45
15 x 5 = 75
Step-by-step explanation:
have a great day!
Given the sequence defined by $a_n = 48 - 3n$, find all possible values of $k$ so that \[a_1 + a_2 + a_3 + \cdots + a_k = 330.\]
Answers
Answer:
k = 11 or 20
Step-by-step explanation:
The sum of terms of an arithmetic sequence is given by ...
Sn = (a1 +an)(n/2)
We want to find the value of n for a particular series to have a particular sum.
__
parametersThe series of interest is defined by ...
an = 48 -3n
so, the first term is ...
a1 = 48 -3(1) = 45
The k-th term is ...
ak = 48 -3k
__
sumThen the sum is ...
Sk = (45 +(48 -3k))(k/2)
We want this value to be 330, so we have ...
330 = (93 -3k)(k/2)
__
solution220 = (31 -k)k . . . . . . . . multiply by 2/3
k² -31k +220 = 0 . . . . . in standard form
We want factors of 220 that total 31.
220 = (1)(220) = (2)(110) = (4)(55) = (5)(44) = (10)(22) = (11)(20)
The last of these pairs totals 31, so we have ...
(k -11)(k -20) = 0 . . . . . factored form of the equation
k = 11 or k = 20 . . . . . values of k that make the factors zero
Possible values of k are 11 and 20.
A square pyramid with a side length of 5 cm and a slant height 7 cm has a total surface area of ...?
Answers
Step-by-step explanation:
there are two types of collective internal and external
I have this question and I can’t figure it out.
Answers
Answer:
-1. 7,-1,0,2,-2
Step-by-step explanation:
Intergers are from negative to positive numbers
Shawna says her mug holds 100 milliliters.
Shelly says that the mug holds 1 liter.
Is Shelly correct?
Answers
Answer:
In 1 liter there are 1000 milliliters so because 100 ≠ 1000 the answer is no
Calculus, factor the given polynomial.
Answers
Answer:
( x-7) (x-9)
Step-by-step explanation:
x^2 -16x+63
What are the possible number that multiply to 63 and add to -16
-9 * -7 = 63
-9+-7 = -16
( x-7) (x-9)
PLS HELP ME ASAP I NEED HELP RN PLS WHOEVER ANSWERS IS THE BRAINLIEST
Madeline scored 75 and 80 on her first two exams. What score does she need to achieve on the third exam in order to earn an average of 85?
Answers
Answer:
100
Step-by-step explanation:
She wants to average 85, so adding ALL three of her scores, divided by 3 needs to equal 85.
(75 + 80 + x)/3 = 85
Times by 3.
75 + 80 + x = 255
155 + x = 255
subtract 155.
x = 100
She needs 100 on the third test.
3 questions, worth a lot of points
Answers
Why were the Jews victims of genocide during World War II?
Bankers for the previous corrupt German government had been mostly from Jewish families.
Many Germans believed that Jews had masterminded the Russian communist revolution.
Many believed that the Jews were planning to take control of the German parliament.d masterminded the Russian communist revolution.
The German government was determined to eliminate all non-Christians from German soil.Factor completely.
5x² + 25x + 20 =
Answers
Answer: 5(x + 1)(x + 4)
Step-by-step explanation Tell me if it is wrong
please help before 11 pm
B=?
Answers
Answer:
155.24
Step-by-step explanation:
[tex]\text{Apply sine rule,}\\\\~~~~~~~~\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}\\\\\\\implies \dfrac{b }{\sin B} = \dfrac{c}{ \sin C}\\\\\\\implies b = \dfrac{c \cdot \sin B}{\sin C}\\\\\\\implies b = \dfrac{197\sin 52^\circ}{\sin 51^{\circ}}~~~~~~~~~;\left[\angle C = 180^{\circ} - 77^{\circ} -52^{\circ} = 51^{\circ} \right]\\\\\\\implies b \approx 200[/tex]
Petra is making bread. She puts 4 1/2
cups of flour in a bowl. Her sister Leslie is watching and tells Petra that she needs to remove 3/4
cup of flour, which Petra does.
The amount of flour left in the bowl is(blank) Response area cups.
A:2 1/8
B: 2 1/4
C:3 1/4
D:3 3/4
Answers
Answer:
B
is the write I think ......!
