Answers
[tex]\boxed{\sf tan\theta=\dfrac{p}{b}}[/tex]
[tex]\\ \sf\longmapsto tan\theta=\dfrac{13}{20}[/tex]
[tex]\\ \sf\longmapsto tan\theta=0.6[/tex]
[tex]\\ \sf\longmapsto tan\theta\approx\dfrac{1}{\sqrt{3}}[/tex]
[tex]\\ \sf\longmapsto tan\theta\approx tan60[/tex]
[tex]\\ \sf\longmapsto \theta\approx 60°[/tex]
Related Questions
ANSWER CORRECTLY AND YOU WILL GET BRAINLIEST
Write a proportion to find how many points x a student needs to score on a test worth 50 points to get a test score of 40%.
Answers
Answer:
20.
Step-by-step explanation:
We need to setup a proportion. We want the result to be 40% out of 50, meaning that we are solving for x:
4/10=x/50.
Cross-multiplying, we have 200 = 10x, and x = 20.
100/40=40%
100/50=2
40/2=20
Andrea runs a fruit store. She started Sunday with 20 cherries in stock. During
the day, she sold 17 cherries and got a shipment of fresh cherries. The
shipment contained 4 times as many cherries as she started the day with.
How many cherries does Andrea have in stock at the end of the day?
Answers
Answer:
Andrea has 83 cherries in stock at the end of the day.
Step-by-step explanation:
starts with 20 cherries
sold 17 cherries
3 cherries remain
get 4 times as many she starts with 20×4= 80
80 + the 3 that remained
if p(q) = q^2 + 4q − 12,then what is p(−1)?
Answers
Step-by-step:
Plug -1 into the equation in place of q.
p(-1) = (-1)^2 + 4(-1) - 12
p(-1) = (-1)^2 - 4 - 12
p(-1) = (-1)^2 -16
p(-1) = 1 - 16
p(-1) = -15
Step by step solution :
STEP
1
:
Trying to factor by splitting the middle term
1.1 Factoring q2-4q-12
The first term is, q2 its coefficient is 1 .
The middle term is, -4q its coefficient is -4 .
The last term, "the constant", is -12
Step-1 : Multiply the coefficient of the first term by the constant 1 • -12 = -12
Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -4 .
-12 + 1 = -11
-6 + 2 = -4 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 2
q2 - 6q + 2q - 12
Step-4 : Add up the first 2 terms, pulling out like factors :
q • (q-6)
Add up the last 2 terms, pulling out common factors :
2 • (q-6)
Step-5 : Add up the four terms of step 4 :
(q+2) • (q-6)
Which is the desired factorization
Equation at the end of step
1
:
(q + 2) • (q - 6) = 0
STEP
2
:
Theory - Roots of a product
2.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
2.2 Solve : q+2 = 0
Subtract 2 from both sides of the equation :
q = -2
Solving a Single Variable Equation:
2.3 Solve : q-6 = 0
Add 6 to both sides of the equation :
q = 6
Supplement : Solving Quadratic Equation Directly
Solving q2-4q-12 = 0 directly
Write the slope-intercept form of the equation with the given point and slope. Through (2,5) and m=1/2
Answers
Answer:
y=1/2x+4
Step-by-step explanation:
y-y1=m(x-x1)
y-5=1/2(x-2)
y=1/2x-2/2+5
y=1/2x-1+5
y=1/2x+4
Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.
If you're satisfied with the answer, then please mark me as Brainliest. Thank you.
One oval weighs how much
Answers
Answer:
5.5
Step-by-step explanation:
11 divided by 2 is 5.5
What equation matches this graph?
TI
y = 2x + 2
y = 3/2x + 2
y = 1/2x + 2
y = 2/3x + 2
Answers
Answer:
y = 1/2x+2
Step-by-step explanation:
first find x intercepts : to find x intercept put 0 in y
1/2x+2 = 0
1/2x= -2
x = -4 the graph shows x intercept at 4
next find y intercept : to find y intercept put 0 into x
=1/2*0+2
=2
the graph shows y crosses at 2.
Answer:
y = 1/2x+2
4. Harry is going to send some flowers to his wife. Summerfield Florist charges $1 per rose, plus
$39 for the vase. Grayson’s Flowers, in contrast, charges $3 per rose and $15 for the vase. If
Harry orders the bouquet with a certain number of roses, the cost will be the same with either
flower shop. How many roses would there be? What would the total cost be?
Answers
The number of roses purchased will be; 12 roses
The total cost of the bouquet is; $51
Let number of roses be x
For Summerfield florists;
At $1 per rose and $39 for the vase, cost is;
C = x + 39
For grayson's flowers;
At $3 per rose and $15 for the vase,total cost is;
C = 3x + 15
We are told when he orders a certain number of roses, the cost will be the same with each flower shop.
Thus;
x + 39 = 3x + 15
3x - x = 39 - 15
2x = 24
x = 24/2
x = 12
Total cost is;
C = 12 + 39
C = $51
Read more about cost functions at; https://brainly.com/question/19300938
what is the midpoint of a segment in the complex plane with endpoints at 6-2i and -4+6i?
Answers
Answer:
1+2i
Step-by-step explanation:
midpoint: (6 + -4)/2 + (-2 + 6)/2 i
= 1+2i
can somebody help me
Answers
$10 for apple, $8 for oranges, $6 for bananas, and $24 total
EXPLANATION:
First let’s round round to the nearest dollar.
Apples cost 1.75 for a pound, that rounded is 2.00
So $2.00 is the estimated amount.
Oranges cost 2.35 per pound. That rounded is 2.00
So the estimated amount is $2.00
Bananas cost 1.50 per pound. That rounded is also 2.00.
So the estimated amount is $2.00
Now we know that rounded amount we just multiply.
If apples cost about 2.00 per pound and she bought 5 pounds just multiply by 5.
2.00 x 5 = $10.00
She paid about $10.00 for apples
If she bought 4 pounds of oranges and one pound of oranges cost about 2.00, multiply 2 by 4.
2.00 x 4 = 8.00
She paid about $8.00 for oranges.
If bananas cost 2.00 per pound and she bout 3 pounds, multiply by 3.
2.00 x 3 = $6.00
She paid $6.00 for bananas.
Now to find the total amount she spent add them all together.
$10.00
$ 8.00
$ 6.00
————-
$24.00
Hope this helps! If you have anymore questions just ask :)
$22.85 for Shiping 3 pound package
and $40 for shiping, lo pound package
wnteequation that gives total cost of
shipping package as a function of the
Weight of the package.
find the cost of shipping a 15-pound package.
Answers
Answer:
Step-by-step explanation:BASE+3X=22.85
BASE+10X=40
BASE=40-10X NOW SUBSTITUTE (40-10X)FOR BASE IN THE FIRST EQUATION
40-10X+3X=22.85
-7X=22.85-40
-7X=-17.15
X=-17.15/-7
X=$2.45 IS THE PRICE FOR EACH POUND.
BASE+10*2.45=40
BASE+24.50=40
BASE=40-24.50
BASE=15.50 IS THE BASE PRICE FOR THE DELIVERY.
PROOF
15.50+3*2.45=22.85
15.50+7.35=22.85
22.85=22.85
Identify this sequence: 5, 15, 45, 135, …
Geometric
Arithmetic
Neither
Answers
Need help l don’t understand new topic
Answers
7x - 2 = 5x + 14
7x - 5x = 14 + 2
2x = 16
x = 16/2
x = 8
______
Hope it helps ⚜
Answer:
x = -8
Step-by-step explanation:
[tex]7x - 2 = 5x + 14 \\ 5x - 7x = 14 + 2 \\ - 2x = 16 \\ \frac{ - 2x}{ - 2} = \frac{16}{ - 2} \\ x = - 8[/tex]
69 points from simplord
Answers
thank you. have a nice day!
A school communoty had planned to reduce the number of grade 9 students per class room by constructing additional class room however they constructed 4 less rooms than they planned As the result tye number of students per class was 10 more than they planned if there are 1200 grade 9 students in the school determine the current number of class rooms and the number of students per class (I need instant help)
Answers
Here is my solution. I hope it is helpful.
Robert graded his friend Sam's practice test and a him a 72% Sam checked it again in found that he really made a 80% Robert said relax i only made an error of 8%Is robert correct
Answers
Answer:
No
Step-by-step explanation:
Use the formula, difference/original. The difference is 8%. The original is 72%.
The equation would be: 8/72
Which is 1/9
1/9 = 11.1%
So he made a mistake of 11%
What is the slope of the line containing the points (-6,4) and (2,1)
Answers
The slope is -3/8.
Sally is paid to walk her neighbor’s dog every day.Every month she is paid she puts away $20 and saves the rest.Write an expression that represents the amount she will save in 6 months if she earns m dollars each month.If she’s paid $65 each month how much will she save in 6 months?
Answers
Answer: she would have saved 120$$
Step-by-step explanation:
NEED HELP ASAP!!!!!
Jeff and Ed are climbing a small mountain. The height Jeff climbed with respect to time is given by the function H(t) = -250|x − 4| + 1,000. Ed’s height with respect to time is modeled in the graph.
Ed and Jeff both climb to the mountain’s peak and then climb back down.
The maximum height of the mountain is (blank) feet. Jeff takes (blank) hour(s) less than Ed to go up all the way and come back down.
Answers
Answer:
Step-by-step explanation:
The maximum height of the mountain is 1000 feet. Jeff takes 10 hour(s) less than Ed to go up all the way and come back down
Please y'all I need help
Answers
Answer:
c
Step-by-step explanation:
I think I c cause one of the coordinates is in -4 and the other one is bw 10 and 8 :)
9-3÷1/3+1
can you pleas solve this question
please hurry
Answers
Answer:
9
Step-by-step explanation:
pemdas
9-3÷1/3+1
division
3 and 1/3 becomes 1
we have 9-1+1
which simplifies to 9
If it takes 5 pounds of peanuts to make 9 jars of peanut butter, exactly how many pounds of peanuts is needed to make 24 jars of peanut butter?
Answers
Step-by-step explanation:
So it takes 5 pounds to make 9 jars of peanut butter and x pounds to make 24 jars of peanut. The equation is written as5pounds=9 jars
? =24 jars
Then you cross multiply /work it out as
5×24÷9
And your final answer will be
13 1/3 pounds
Divide 75 by -25.
12
Answers
Answer: 6.25
Step-by-step explanation:
Janie flips a coin 70 times and records if it comes up heads. If getting heads is a success, what is the probability of a failure? 0. 2 0. 5 0. 7 1. 0.
Answers
The probability of a failure is 0.5
Probability is the likelihood or chance that an event will occur.Probability = Expected outcome/Total outcomeSince Janie flips a coin 70 times, then the total outcome is 70
The probability of getting a failure will be 50% of the total times;
Expected outcome = 50% of 70
Expected outcome = 35
Pr(a failure) = 35/70
Pr(a failure) = 0.5
Hence the probability of a failure is 0.5
Learn more on probability here: https://brainly.com/question/22664861
Find the area of an equilateral triangle with side length 4.6 cm. Round your answer to 1 DP.
Answers
The areas of a triangle is b*h / 2
4.6*4.6 = 21.16
21.16/2 = 10.58
This is because it is an equilateral triangle so all side lengths are the same
Answer:
A = 9.2 cm²
Step-by-step explanation:
A = 1/2 bh, you know the base = 4.6 and you need to find the height of the triangle.
Drawn the attitude of the equilateral triangle to the base and use a² + b² = c²
c = side of the triangle = 4.6 , b = 1/2 0f 4.6 = 2.3 . the attitude to the base ÷ the base in half.
a² + (2.3)² = (4.6)²
a² + 5.29 = 21.16
a² = 21.16 - 5.29
a² = 15.87
[tex]a = \sqrt{15.87}[/tex]
Now we know the height of the triangle = [tex]\sqrt{15.87}[/tex] , the base = 4.6
A = 1/2bh
A = 1/2 (4.6)([tex]\sqrt{15.87}[/tex] )
A = 9.1625
A = 9.2 cm² or the A of any equilateral triangle = [tex]\frac{\sqrt{3} }{4} s^2[/tex]
A = [tex]\frac{\sqrt{3} }{4} (4.6)^2[/tex]
A = 9.1625
A = 9.2
If ab =12 and a²+b²=25, then (a+b)²= ?
Answers
Recall that
(a + b)² = a² + 2ab + b²
Then
(a + b)² = 25 + 2•12 = 49
i don’t know what i’m doing lol
Answers
To find this I looked at the 6 and 4.
I found a common denominator, 2 in this case, and divided. This gave me 3 and 2. So, we already know x=2.
If you don’t understand, let me know
[ALGEBRA 2 POLYNOMIAL DIVISION/REMAINDER THEOREM]
Help!!! I'm desperate to find the answer, will give brainliest to first person that answers the question in the photo!
Answers
Answer:
k = -4
Step-by-step explanation:
The remainder theorem tells you that the remainder from division f(x)/(x -k) is f(k). You want the value of k such that ...
f(k) = -15
Looking on the given graph, you find that k must be -4. That is, ...
f(-4) = -15
k = -4
_____
The divisor with k=-4 is (x -(-4)) = (x +4). The second attachment shows the division of f(x) by (x+4). The remainder is shown on the bottom line.
Determine if the relation below is a function.
(-3,2) ; (-3,5) ; (-3,-2) ; (-3,8)
Group of answer choices
Yes, this relation is a function.
No, this relation is not a function.
Answers
Answer: No, this relation is not a function.
Step-by-step explanation: Beca the x’s value’s repeat
3.74 = 0.4n + 2.5
What value of n makes the equation TRUE?
Answers
3.74 = 0.4n + 2.5
3.74 - 2.5 = 0.4n
1.24 = 0.4n
n = 3.1
So the value of n which makes the statement true is 3.1
Hope this helps :)
The value of n for the equation to be true is n = 3,1
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be A , 3.74 = 0.4n + 2.5
Now ,
3.74 = 0.4n + 2.5
Subtracting 2.5 on both sides of the equation , we get
0.4n = 3.74 - 2.5
0.4n = 1.24
Divide by 0.4 on both sides of the equation , we get
n = 3.1
Therefore , n = 3.1
Hence , the value of n for the equation to be true is n = 3.1
To learn more about equation click :
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143 is added to twice a number and this sum is multiplied by 2, the result is the same as if the number is multiplied by 0 and 2 is added to the product. What is the
number?
Answers
Answer:
-71
Step-by-step explanation:
let 'n' = a number
2(143 + 2n) = 0n + 2
2(143 + 2n) = 2
143 + 2n = 1
2n = -142
n = -71
