Answers
Answer:
63. Perimeter: 60.4 units
Area: 126.14 units²
64. x = 8
m = 62⁰
Step-by-step explanation:
First, let us solve question 63. To find the perimeter and the area of the triangle, we will first find the x and y value.
Formulas we would use to find the answer in Q. 63 :-
Cos = opposite / hypotenuse
Sin = adjacent / hypotenuse
Area = 1/2 × b × h
Perimeter = adding all sides
Let us find the y value using the formula of Cos.
Cos = opposite / hypotenuse
Cos24⁰ = y / 26
26(Cos24⁰) = (y / 26)26
26(Cos24⁰) = y
23.8 = y ---> *since it said to round to the nearest hundredth.*
Now let us find the x value by using the formula of Sin.
Sin = adjacent / hypotenuse
Sin24⁰ = x / 26
26(Sin24⁰) = (x / 26)26
26(Sin24⁰) = x
10.6 = x ---> *since it said to round to the nearest hundredth.*
Now let us find the perimeter and the area.
Area = 1/2 × b × h
Area = 1/2 × 10.6 × 23.8
Area = 126.14 units²
Perimeter = adding all sides.
Perimeter = 26 + 23.8 + 10.6
Perimeter = 60.4 units
On to Q. 64. Formulas we would use to find the answer of Q. 64 is :-
Tan = opposite / adjacent
Sin = opposite / hypotenuse
Let us find m. In order to find m, we will use the Sin formula.
Sin = opposite / hypotenuse
Sinm⁰ = 15 / 17
m⁰ = sin-1(15 / 17)
m⁰ = 62 ---> *since it said to round to the nearest whole number.*
Now let us find x by using the formula of Tan.
Tan = opposite / adjacent
Tan62⁰ = 15 / x
x(Tan62⁰) = (15 / x)x
x(Tan62⁰) = 15
x(Tan62⁰) / Tan62⁰ = 15 / Tan62⁰
x = 15 / Tan62⁰
x = 8 ---> *since it said to round to the nearest whole number.*
Hope this helps, thank you :) !!
Related Questions
how to find MP when discount percent and SP are given
Answers
Given:
Consider the discount percent and SP are given.
To find:
The MP.
Solution:
Let x% be the discount percent Then
[tex]SP=MP-x\%\text{ of }MP[/tex]
[tex]SP=MP-\dfrac{x}{100}MP[/tex]
[tex]SP=\left(1-\dfrac{x}{100}\right)MP[/tex]
[tex]SP=\left(\dfrac{100-x}{100}\right)MP[/tex]
Multiply both sides by 100.
[tex]100SP=(100-x)MP[/tex]
Divide both sides by [tex](100-x)[/tex].
[tex]\dfrac{100}{100-x}SP=MP[/tex]
Therefore, the formula for MP is [tex]MP=\dfrac{100}{100-x}SP[/tex], where x is the discount percentage.
S
Page 1
(d)
A farmer plants two crops, potatoes and corn, on a ten-hectare piece of land. The number of
hectares of corn planted, c, must be at least twice the number of hectares of potatoes, p.
Write TWO inequalities to represent the scenario above,
Answers
Answer:
c ≥ (p x 2)
Step-by-step explanation:
Which is a logarithmic statement for 10^3.5=3162.28?
A
3.5 log 10 = 3162.28
B.
log 3.5 - 3162.28
C
3162.28 log 3.5 = 10
D
log 3162.28 3.5
Answers
Answer:
[tex] log(3162.28) = log( {10}^{3.5} ) = 3.5 log(10) = 3.5 \times 1 = 3.5[/tex]
HELP PLEASE DID I WRITE THESE CORRECTLY??
Answers
Answer:
Yes you did
Step-by-step explanation:
[tex] \huge {\star \: \: \underline{\mathcal{question} \: }\: \star}[/tex]
[tex] \boxed{ \mathtt { \frac{1250}{2} }}[/tex]
Answers
Answer:
625
Step-by-step explanation:
I did mental math hope I got it right
Step-by-step explanation:
hope it is helpful to you
Use technology or a z-score table to answer the question.
The weights of books in a bookcase are normally distributed with a mean of 11.6 pounds and a standard deviation of 1.3 pounds. There are 136 books on the bookshelf.
How many of the books will weigh 10 pounds or more?
A. 109
B. 116
C. 121
D. 130
Answers
The number of books that will weigh 10 pounds or more is 121. Then the correct option is C.
What is a z-score?The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The weights of books in a bookcase are normally distributed with a mean of 11.6 pounds and a standard deviation of 1.3 pounds. There are 136 books on the bookshelf.
Then the z-score when the books will weigh 10 pounds or more will be
[tex]z = \dfrac{10 - 11.6}{1.3}\\\\z = -1.23077[/tex]
Then the probability will be
[tex]\rm P(x > 10) = 1 - P(x < 10) = 0.8909 \ or \ 89.09\%[/tex]
89.09% of books will weigh 10 pounds or more, then the number of the books will be
→ 136 × 0.8909
→ 121.1624 ≈ 121
More about the z-score link is given below.
https://brainly.com/question/15016913
Find the surface area of the cube shown below.
will mark brainliest
Answers
Answer:
Step-by-step explanation:
The surface area of a cube = 6a2 where a is the length of the side of each edge of the cube.
6a2
Putting value of a in the equation
6(2/3)^2
= 2.6666666666666666666666
Answer:
2 2/3 square inches
Step-by-step explanation:
Since each side equals 2/3 of, say, an inch, you need to multiply 2/3 by 2/3 to get the area of one side, then multiply that value by 6 to get the total surface area.
[tex]\frac{2}{3}*\frac{2}{3}=\frac{4}{9}[/tex]
[tex]\frac{4}{9} = 0.444444...[/tex]
Now, for the total:
[tex]\frac{4}{9} * 6 = \frac{24}{9}[/tex]
[tex]\frac{24}{9} = 2\frac{6}{9}[/tex]
[tex]2\frac{6}{9} = 2\frac{2}{3}[/tex]
Each dozen donuts sells for $6.99. What is the difference, in dollars, between
the total sales from the new box over 6 months this year and the total sales
from the original box over 6 months last year?
Answers
Answer:
Step-by-step explanation:
A circle's radius is 25 inches.
What is the circle's circumference (use 3.14 for pi and round to
nearest tenth
Answers
Answer:
C≈157.08in
Step-by-step explanation:
C=2πr=2·π·25≈157.07963in
Answer: 157.1
Find the area (in square inches) of the parallelogram. A drawing of a parallelogram with base of 3 feet and height 2 feet. The area is square inches.
Answers
Find all real solutions of this equation to answer the question.
(6 – 2x)(3 – 2x)x = 40
Answers
Answer:
[tex] \huge\green{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]
[tex]x = 40[/tex]
[tex](6 - 2x)(3 - 2x) \\ =( 6 - 2 \times 40)(3 - 2 \times 40) \\ = (6 - 80)(3 - 80) \\ = - 74 \times - 77 \\ = 5698[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]
Answer:
(6-2x)(3-2x)=
(6-2 x 40) (3-2 x 40)
= (6-80)(3 - 80)
= - 74 x - 77
=5698
The answer is 5698
ASAP HELP HELP
AND HOW DID YOU GET THE ANSWER
Answers
Answer:
B
Step-by-step explanation:
A straight line equals to 180 degrees. The example shown is a linear pair!
does 4(x+1)=2x+4 have a solution
Answers
Answer: Yes, x = 0
Step-by-step explanation:
To solve for x, we will simplify things by distributing the 4 to the (x + 1) term. This means that our new equation will be
4x + 4 = 2x + 4
Now that we have our new equation, we will isolate x by subtracting 4 from both sides. After this, we will end up with
4x = 2x
At first glance, this may seem like no solution. What number has the same value when multiplied by 2 and by 4? Well, there infact is one. This can be shown when we subtract both sides by 2x to keep x on one side, and get
2x = 0
Divide by both sides to isolate x, and you get x = 0/2 = 0.
Thus, x = 0.
1. Find the area of the figure. * 24 cm 9 cm 10.5 cm 12 om
Answers
hello please help i’ll give brainliest
Answers
Answer:
I think the answer is before however
Answer:
However
Step-by-step explanation:
I totally am blanking about the name of this situation but the comma goes before and after the "however" :)
How can 5/16 be written as a decimal?
Answers
Answer:
0.31
Step-by-step explanation:
Answer:
divide 5 by 16
5 divided by 16 = 0.3125
The numerator is the number you always have to divide by the denominator whenever finding the decimal of a fraction.
PLEASE ANSWER THEM ALL ASAP, 50 POINTS FOR EACH ANSWER, BRAINLIEST TOO PLEASE I NEED HELP
Answers
Answer:
1. AD = 14.
2. x = 12.
3. P = 64.
4. m∠AED = 131°.
write the formulas for the volumes of the rectangle prisms
PLEASE HELPP!
Answers
Answer:
Base area x height
Length x Width x Height
Step-by-step explanation:
Answer:
[tex]\sqrt[n]{x} \lim_{n \to \infty} a_n \left \{ {{y=2} \atop {x=2}} \right. \\ x^{2} \sqrt{x} \sqrt[n]{x} \frac{x}{y} x_{123} \leq \geq \neq \pi \alpha \beta \left \{ {{y=2} \atop {x=2}} \right. \int\limits^a_b {x} \, dx \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \sqrt[n]{x} from makalea[/tex][tex]\sqrt{x} 8 x 1 =8[/tex]Step-by-step explanation:
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Tell whether each rate is a unit rate. Select all that apply.
A) 8 dogs for every 5 cats
B) $1.25 per song
C) lap per minute
D)
60students
2classes
E)
15players
1team
F) 4 cups per 2 batches
Answers
Answer:
B,C,E
Step-by-step explanation:
because a unite rate is a number over one
3⋅f(−4)−3⋅g(−2)????????
Answers
Hope this helps ;-)
Which of the following expressions is equivalent to the logarithmic
expression below?
In 5 + In 3
Answers
Answer:
Ln 15
Step-by-step explanation:
The expression equivalent to ln(5) + ln(3) is logarithmic ln(15), which is option C.
What are the properties of logarithms?There are four basic properties of logarithms:
logₐ(xy) = logₐx + logₐy.
logₐ(x/y) = logₐx - logₐy.
logₐ(xⁿ) = n logₐx.
logₐx = logₓa / logₓb.
Given expression,
In 5 + In 3
We can use the logarithmic identity that says:
log(x) + log(y) = log(xy)
Using this identity, we can rewrite the given expression as:
ln(5) + ln(3) = ln(5 × 3) = ln(15)
Option A, ln(5³) is equivalent to ln(125), which is not the same as ln(15).
Option B, ln(8) is not equivalent to ln(5) + ln(3).
Option D, ln(3⁵) is equivalent to ln(243), which is not the same as ln(5) + ln(3).
Therefore, the expression equivalent to ln(5) + ln(3) is ln(15), which is option C.
Learn more about the logarithmic properties here:
brainly.com/question/24211708
#SPJ7
The complete question would be as:
Which of the following expressions is equivalent to the logarithmic expression below?
In 5+ In 3
A. In 5³
B. In 8
C. In 15
D. In 3⁵
Help
If you add Natalie's age and Fred's age, the result is 36. If you add Fred's age to 3 times Natalie's age, the result is 60. Write and solve a system of equations to find how old Fred and Natalie are.
Answers
Answer : Let Natalie's age be x. Let Fred's age be y. Add Fred's age to 3 times Natalie's age, the result is 65. Answer : Natalie is 13 years old and Fred is 26 years old.
Step-by-step explanation:
so sorry is wong
HEEEEEELLLPPPPPPPP!!!!!!!!!!!!
Answers
I need help ! Asap !! Can somebody please help I just need this done by 10 !
Answers
Answer:
in question no. 5 6/12 is not equivalent.
in question no.6 12/48 is not equivalent.
7.=
8.>
9.>
10.$5 for 4 granola bars
11.$8.98 for 12 batteries
Step-by-step explanation:
Hope this helps u!!
Answer ASAP please :?
Answers
Answer:
The answer is c.
Step-by-step explanation:
so yeah.
question involving radius and arcs. need help
Answers
Using a six-sided die, you have rolled a 6 on each of four successive tosses. What is the probability of rolling a 6 on the next toss?
Answers
Answer:
The probability of rolling a 6 on the next toss = 1/6
Step-by-step explanation:
Given - Using a six-sided die, you have rolled a 6 on each of four successive tosses.
To find - What is the probability of rolling a 6 on the next toss?
Proof -
As the outcomes of previous rolls do not affect the outcomes of future rolls.
And there is one desired outcome and six possible outcomes.
So,
The probability of rolling a six on the fifth roll = 1/6 which is same as the probability of rolling a six on any given individual roll.
So,
The answer is -
The probability of rolling a 6 on the next toss = 1/6
In a six-sided die, by rolling a 6 on each of four successive tosses. the probability on the next toss is 1/6.
A six-sided die rolled 6 on each of four successive tosses.
What is probability?It is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.
The number of favorable outcomes of the die is 1 and the total number of outcomes of the six-sided die is 6.
So, The probability of rolling a six on the fifth roll = 1/6, which is the same as the probability of rolling a six on any given individual roll.
The probability of rolling a 6 on the next toss = 1/6.
Learn more about the probability here:
https://brainly.com/question/795909
Refer to the figure at the right. Line a is parallel to line b
and angle 2 is 145° Find the given angle measures of:
Angle 9
Angle 7
Angle 3
Angle 4
Answers
Answer:
angle 9 = 55°
angle 7 = 145°
angle 3 = 35°
angle 4 = 55°
Step-by-step explanation:
Correct me if I'm wrong. I hope it helps.
no links pls help!
A museum has scale models representing different time periods in history. A scale in which one inch in the model represents two feet is used to construct the models. The museum's sculptor wants to build a model of an 18-foot-tall tree for one of the exhibits. How tall should she make the model of the tree?
2 in.
9 in.
18 in.
36 in.
Answers
Answer:
18 in.
Step-by-step explanation:
ycvjnyucfcgvjnjbhuftytghuhvgycyccvgv
Find the solution to the system of equations. Write the solution as an ordered pair.
3x-2y=-9
4x+3y=22
Answers
Step-by-step explanation:
3x - 2y = –9
3x−2y+2y=−9+2y
3x=2y−9/3x^3
=2y−9/3
x=2/3y−3
4x + 3y = 22
4x+3y+−3y=22+−3y
4x=−3y+22
4x4
=−3y+22/4
x=−3/4y+11/2