Answer: x=44°
explanation: because the angles in a triangle add up to 180° and since the latter or whatever goes straight up it is 90° and the other angle is 46° so 180=90+46+x.
Subtract 90 from both sides of the = and it becomes 90=46+x.
Then you subtract 46 on both sides and you get 44=x
Which statement is true?
A. 6 > 6
B. –8 < –3
C. 5 < –6
D. –12 > –6
Answer:
B
Step-by-step explanation:
hope this helps.......
Answer:
my answer is B
Step-by-step explanation:
I know this because I just took a test on this and got it right.
A boat is anchored 2.2 km due south of a lighthouse. Along the shore, the town of Beachton is 16.8 km due east of the lighthouse. Enter a number in the box to correctly complete the statement. Round the answer to the nearest tenth. The distance from the boat to Beachton is 16 point 9 km
Answer:
16.9 km
Step-by-step explanation:
From the diagram attached, we can see that the problem forms a triangle.
So, to find the distance(d) from the boat to Beachton , we can make use of Pythagoreas theorem.
Thus;
d² = 16.8² + 2.2²
d² = 282.24 + 4.84
d² = 287.08
d = √287.08
d = 16.9434
Approximating to the nearest tenth, we have;
d ≈ 16.9 km
1. Remember, evaluate means to plug in the value for the specified
variable.
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Evaluate: (x - 3)2 + 2x - 4 for x = 5
Answer:
Value: 10
Step-by-step explanation:
1. Let us first write down the expression, changing it a bit to our convenience: 2(x - 3) + 2x - 4
2. Substitute this value of x into the expression as such:
2(5 - 3) + 2(5) - 4
3. Now we can approach this first part of the problem in two ways:
Option 1. distribute the 2 to the 5 and then the -3, in 2(5 - 3)
Option 2. subtract 3 from 5, then multiply 2 by that value
4. Given such, let us try the 2nd option for simplicity, and carry on with our calculations: 2(2) + 2(5) - 4
5. Now apply algebra and solve this expression:
2(2) + 2(5) - 4 = 4 + 10 - 4 = 14 - 4 = 10
HELLLPPP PLEASE WILL GIVE BRAINLIEST
Answer:
-3
Step-by-step explanation:
Convert every fraction to an improper fraction just to make it easier.
43/10 - (12/5x + 11/2) = 1/2 (-18/5x + 6/10)
Distribute.
= 43/10 -12/5x - 11/2 = -18/10x + 6/10
Simplify using the common denominator, which is 10.
43/10 - 24/10x - 55/10 = -18/10 + 6/10
Isolate the x.
-24/10x + 18/10 = -43/10 + 55/10 + 6/10
Simplify.
-6/10x = 18/10
Multiply by the reciprocal (basically dividing fractions)
18/10 x -10/6
= -3
Answer:
x= -3
Step-by-step explanation:
43/10-12/5x-11/2=9/5x+3/5
-6/5=12/5x=-9/5x+3/5
-6-12x=-9x+3
-3x=9
x=-3
Which equation could be used to find the length of the hypotenuse?
Answer:
A
Step-by-step explanation:
Answer:
6^2+11^2 = c^2
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2+11^2 = c^2
Ella spends $4.25 each day for lunch at school. How much money does she spend on lunches for 5 days?
Answer:
21.25
Step-by-step explanation:
Answer:
21.25
Step-by-step explanation:
4.25x5=21.25
help!!
Mariya was asked to solve StartFraction a over negative 13 EndFraction less-than-or-equal-to negative 16 and then graph the solution. Her work is shown below.
Step
Mariya’s work
StartFraction a over negative 13 EndFraction less-than-or-equal-to negative 16
Step 1
(Negative 13) StartFraction a over negative 13 EndFraction less-than-or-equal-to negative 16 (negative 13)
Step 2
a greater-than-or-equal-to 208
Step 3
A number line going from 205 to 211. An open circle is at 208. Everything to the right of the circle is shaded.
In which step, if any, did Mariya make a mistake in her work?
Step 1
Step 2
Step 3
No mistake found
Answer:
Step 3 is the correct answer!
Step-by-step explanation:
Answer:
C- step 3
Step-by-step explanation:
e d g e n u i t y q u i z z
Hope I helped x3
A cone is cut by a plane parallel to its base. The small cone on top is similar to the large cone, with a similarity ratio of 1 : 2. The ratio between the volume of the small cone to that of the frustum is _ : _.
Answer:
1:1Step-by-step explanation:
The ratio between the volume of the small cone to that of the frustum is 1:1.
Notice that the bigger cone is double than the smaller cone, which means the smaller cone is half of the volume of the bigger cone, if you wipe the small one, you would have the frustum with the same volume as the wiped part, because if you delete the smaller cone, you would be deleting half volume of the bigger cone, giving at the end a relation 1 : 1 between the frustum and the smaller cone.
If (A:20:4:16) is a proportion the find out the value of A fastly
Answer: A = 5
Step-by-step explanation:
I'll rewrite this as fractions.
[tex]\frac{A}{20}=\frac{4}{16}[/tex]
Solve for A,
[tex]A=\frac{20*4}{16}\\ A=\frac{80}{16}[/tex]
[tex]A=5[/tex]
7(5+2x)+x=65 someone please help me with this equation
Answer:
x=2
Step-by-step explanation:
7(5+2x)+x=65
35+14x+x=65
35+15x=65
15x=65-35
15x=30/15
x=2
Answer:
x=2
Step-by-step explanation:
7×5=35
7×2x=14x+=65
so the equation would be
35+14x+x=65
add the variables together so:
35+15x=65
subtract 35 from 65 which makes it 30 so:
15x=30
now divide both sides by 15
which makes the anwer x=2
one hundred fifty moviegoers were surveyed, 20% said they would recommend the movie they just saw. how many of the moviegoers said they recommend the movie?
Answer:
30 moviegoers
Step-by-step explanation:
1% of 150 is 1.5
20% of moviegoers recommend the movie
1.5 times 20 = 30
j/-2 + 7 = -12 Please help guys!
Answer:
j=38
Step-by-step explanation:
j/-2+7=-12
j/-2=-19
j=38
3. Six less than twice a number is 17. Which equation could be used to determine the
number, n?
A. 6-2n = 17
B. 2n-6 = 17
C. 6 - 7 n = 2n
D. 2n + 6 = 7
Answer & Step-by-step explanation:
n represents our number. So, twice a number would be 2n because twice means multiply by two.
When the problem says 6 less, then it means 6 less than 2n. So, it would look like 2n-6.
FInally, the problem says that all of this equals 17 so 17 would be the result.
So, you answer is 2n-6 = 17. This is answer choice B.
Which expressions to 4.25-(-8)
If you're asking to simplify or solve, the answer is:
4.25 - (-8) = 12.25
Easy math triangle question , please help picture attached
Answer:
x = [tex]\sqrt{120}[/tex] ≈ 10.95
Step-by-step explanation:
Use Pythagorean Theorem a²+b²=c²
6²-4²=a²
36-16=a²
a²=20
a=[tex]\sqrt{20}[/tex]
[tex]\sqrt{20[/tex]²+10²=c²
20+100=c²
c²=120
c= [tex]\sqrt{120}[/tex] ≈ 10.95
A 2-mi cab ride costs $1.70. A 7-mi cab ride costs $3.70. Find a linear equation that models cost c as a function of distance d.
a.
c = 0.53d + 0.90
c.
c = 0.85d + 2.00
b.
c = 0.40d + 0.90
d.
d = 0.40c + 2.00
Answer:
c = 0.40d + 0.90
Step-by-step explanation:
Answer:
Step-by-step explanation:
The zero(s) of the function : f(x)=x² - 2x +3 are_____________ *
Answer:
x = 1 ± i√2
Step-by-step explanation:
hope i helped
pays $0.72\$0.72 $0.72 dollar sign, 0, point, 72 in sales tax. The sales tax rate is 6%6\% 6% 6, percent . What is the original price of the bracelet, before tax?
Complete Question
Casey buys a bracelet. She pays for the bracelet and pays $0.72 in sales tax. The sales tax rate is 6%. What is the original price of the bracelet, before tax?
Answer:
$12
Step-by-step explanation:
Let the original price of the bracelet before tax =x
Tax rate =6%
That means:
6% of x =$0.72
0.06x=0.72
Divide both sides by 0.06
x=$12
The original price of the bracelet, before tax is $12.
Ellen is opening. Cookie shop eat a local middle school . She randomly surgery's students to determine The types of cookies they would buy at the cookie shop the results of the surveys are below
Answer:
The only statement that is NOT true is option A.
- If 160 students buy a cookie, approximately 18 students would buy a sugar cookie.
Step-by-step explanation:
Complete Question
Ellen is opening. Cookie shop eat a local middle school . She randomly surgery’s students to determine The types of cookies they would buy at the cookie shop the results of the surveys are below based on the survey. Which statement is not true?
Cookie Survey
Type of Cookie | Number of Students
Chocolate Chip | 25
Oatmeal Raisins | 15
Peanut Butter | 22
Sugar | 18
A) If 160 students buy a cookie, approximately 18 students would buy a sugar cookie.
B) 22½% of the students surveyed would buy a sugar cookie.
C) If 240 students were to purchase a cookie from the store, approximately 66 students will purchase a peanut butter cookie.
D) Half of the students prefer chocolate chips or oatmeal raisin cookies.
Solution
First of, we obtain the proportion or percentages of students surveyed that buy each type of cookie.
Each of that is the number of students that buy the type of cookie in the sample divided by the Total number of students sampled.
Total number of students sampled = 25 + 15 + 22 + 18 = 80
Type of Cookie | N | proportion | %
Chocolate Chip | 25 | 0.3125 | 31.25%
Oatmeal Raisins | 15 | 0.1875 | 18.75%
Peanut Butter | 22 | 0.2750 | 27.50%
Sugar | 18 | 0.2250 | 22.50%
Now, taking the statements one by one
A) If 160 students buy a cookie, approximately 18 students would buy a sugar cookie.
Proportion of students that buy sugar cookie in the sample = 0.225
Number of students that will buy sugar cookie amongst 160 students = np = 160 × 0.225 = 36 students.
This statement is false, that is, NOT true.
B) 22½% of the students surveyed would buy a sugar cookie.
From the table, 22.5% of the students surveyed bought a sugar cookie. Hence, no matter the number of students, the percentage of students that will buy a sugar cookie will approximately be 22.5%.
This statement is True.
C) If 240 students were to purchase a cookie from the store, approximately 66 students will purchase a peanut butter cookie.
Proportion of students that buy peanut butter cookie in the sample = 0.275
Number of students that will buy peanut butter cookie amongst 240 students = np = 240 × 0.275 = 66 students.
This statement is true.
D) Half of the students prefer chocolate chips or oatmeal raisin cookies.
Proportion of students that buy chocolate chips or oatmeal raisin cookies in the sample = 0.3125 + 0.1875 = 0.50
0.50 is half of the distribution.
Hence, this statement too, is True.
Hope this Helps!!!
You start a chain email and send it to 3 friends. The process continues and each of your friends forward the email to 3 other people. What is an expression for the nth term an?
Answer:
[tex]a_{n}=3^{n}[/tex]
Step-by-step explanation:
We can start solving this problem by making a list of the number of chain emails that are sent on each round:
Round one:
[tex]a_{1}=3[/tex]
which represents the three friends you send the mail to.
Round two:
[tex]a_{2}=3*3=9[/tex]
since each of your friends sends the mail to another three friends, then we multiply the original 3 friends by 3 to get a total of 9.
Round three:
[tex]a_{3}=3*3*3=9*3=27[/tex]
on the next round we multiply the previous 9 persons by 3 mails each giving us a total of 27 persons receiving the mail. A patter starts showing here. Notice that for each round we need to take the previous round number an multiply it by 3. When we have a number being multiplied by itself n times, we rewrite it as a power, so the expression for the nth term will be:
[tex]a_{n}=3^{n}[/tex]
which is our final answer.
What are the x-intercept and the y-intercept of the graph of 8x – 7y = -56?
Answer:
x-intercept
y=0
8x - 7(0)= -56
8x = -56
x = -7
(-7, 0)
y-intercept x= 0
8(0) -7y = -56
-7y = -56
y = 8
(0, 8)
Step-by-step explanation:
The x - intercept of the equation is, (- 7, 0)
The y - intercept of the equation is, (0, 8)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ 8x - 7y = - 56
Now, We have to find the x - intercept as;
Substitute y = 0,
⇒ 8x - 7×0 = - 56
⇒ 8x = - 56
⇒ x = - 56/8
⇒ x = - 7
And, We have to find the y - intercept as;
Substitute x = 0,
⇒ 8x - 7y = - 56
⇒ 8×0 - 7y = - 56
⇒ - 7y = - 56
⇒ 7y = 56
⇒ y = 56 / 7
⇒ y = 8
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what's the change in Dana's profit from Saturday to sunday? simplify the expression
Answer:
14 did this lesson rn
Step-by-step explanation:
The required change in Dana's profit is given as $12, as of the given condition.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
On Saturday Dana's profit = -$2
On Sunday Dans;s profit = $12
Change in Dana's profit = 12 - 2 = $12
Thus, the required change in Dana's profit is given as $12.
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There are 4 red, 6 green, and 5 yellow pencils in a jar. Once a pencil is selected, it is not replaced. Find the probability. Give your answer as a fraction in simplest form, a decimal to the nearest hundredth, and the nearest whole percent. P( red and then yellow)
Answer:
2/21 or 9.52%
Step-by-step explanation:
The first thing is to calculate the total number of pencils.
4 + 6 + 5 = 15
Which means that in total there are 15 pencils.
Now the probability of drawing a red pencil is then:
4/15
Without that red pencil, then we have one less pencil in general, that is, 14, so the probability of drawing a yellow is:
5/14
The final probability would then be:
4/15 * 5/14 = 20/210 = 2/21
Now that equals 0.0952, which means that the probability is 9.52%
A math tutor earns $40 an hour tutoring teenagers. Sometimes he will meet with two students at once and get paid $80 per hour total. Is this a linear model or an exponential model?
Answer:
It should be linear if you let the variable t represent the time tutoring for ONE student, so y = 40*t where t = number of hours for ONE student
so if the tutor taught 2 students for 2 hours together, then t = 2*2 = 4 hours
Step-by-step explanation:
y = 40t
t = tutoring hours for ONE unique student...
in a group of students the ratio of the number of students who liked music and sport is 9:7. out of which 25 liked both the activities, 20 liked music only and 15 liked none of the activities .
i)find the total number of students in group
Answer:
Hello,
Total number : 70
Step-by-step explanation:
20 + 25 = 45
45 liked music
X liked sport only
X + 25 liked sport
45 / 9 = (X + 25) / 7 ⇔ 7 x 5 = X + 25 ⇔ X = 35 - 25 ⇔ X = 10
10 liked sport only
Total students in group : 45 + 10 + 15 = 70
In a group of students the ratio of the number of students who liked music and sport is 9:7. out of which 25 liked both the activities, 20 liked music only and 15 liked none of the activities. 70 is the total number of students in group.
What is mathematical ratio?
An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion constitutes a equation that sets two ratios at the same value.
Ratios contrast two figures by typically dividing them. A/B would be your formula if you were evaluating one data point (A) to another data point (B). This indicates that you are multiplying information A by information B. For instance, your ratio are going to be 5/10 if A is 5 and B is 10.
20 + 25 = 45
45 liked music
X liked sport only
X + 25 liked sport
45 / 9 = (X + 25) / 7 ⇔ 7 x 5 = X + 25 ⇔ X = 35 - 25 ⇔ X = 10
10 liked sport only
Total students=45 + 10 + 15 = 70
Therefore, 70 is the total number of students in group.
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A train travels at a constant speed of 130 miles per hour. Write an equation that can be used to determine the number of miles, m, the train will travel in h hours.
Michael’s Equation: h = 130m
Describe why Michael’s equation does not correctly model the problem.
Answer: m=130h
Step-by-step explanation:
130 miles per hour.
number of miles (m) the train will travel in (h) hours.
m=130h
The ratio of the leg adjacent to an angle to the hypotenuse of a right triangle is
called the ____ of the angle.
A. sine
B. tangent
C. cosine
D. cosecant
Answer:cosine
Step-by-step explanation:
Some
Of
Her
Children
Are
Having
Trouble
Over
Algebra
SOH/CAH/TOA
Sin opp/hype cos adj/hyp tan opp/hyp
After basketball practice, 8 players equally shared 3
large bottles of water. What fraction of a bottle did
each player get?
Answer:
3/8
Step-by-step explanation:
If there are 8 players and 3 bottles, then you divide 3 by 8 to get 3/8.
A fraction is a way to describe a part of a whole. The fraction of a bottle that each and every player will get is 3/8.
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.
Since the total number of players is 8, the number of bottles is 3. Therefore, the fraction of a bottle each player will get,
[tex]\rm Fraction=\dfrac{\text{Number of Bottle}}{\text{Number of player}}\\\\\\\rm Fraction=\dfrac38[/tex]
Thus, the fraction of a bottle that each and every player will get is 3/8.
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Study the topographic map.
Which best describes the location of the picnic area?
X 877
Two creeks flow through the picnic area.
Several steep slopes are found inside the picnic area.
The elevation changes from 635 to 600 at the picnic area.
The highest point inside the picnic area has an elevation
of 859.
5
800
700
Equation
700
635
+ Picnic Area
600
Answer:
The correct answer is C) The elevation changes from 635 to 600 at the picnic area.
When the polynomial x^4-3x^3-7x^2+7x+2 is divided by x+2 the quotient is x^3 +Bx^2 +Cx +1. Find the value of B +C
Answer:
B=-5
C=3
Step-by-step explanation:
x^4-3x^3-7x^2+7x+2= x^4-3x^3-10x^2+3x^2+7x+2
=x^4-3x^3-10x^2+ 3x^2+7x+2
=x^2(x^2-3x-10)+ 3x^2+7x+2
=x^2(x^2+2x-5x-10)+ 3x^2+6x+x+2
=x^2(x(x+2)-5(x+2))+ 3x(x+2)+1(x+2)
=(x+2)(x^2(x-5)+(3x+1))
=(x+2)(x^3-5x^2+3x+1)
Answer:
B=-5
C=3
Step-by-step explanation: