Work Shown:
sin(angle) = opposite/hypotenuse
sin(B) = AC/AB
sin(B) = 2/3
B = arcsin(2/3)
B = 41.8103 approximately
B = 41.81
Note: The arcsine function is the same as the inverse sine function, and that's denoted as [tex]\sin^{-1}[/tex] on many graphing calculators. Your calculator needs to be in degree mode.
Sophia drew a scale drawing of the elementary school. The scale of the drawing was 1 centimeter : 4 meters. The schoolyard is 52 meters wide in real life. How wide is the schoolyard in the drawing
Answer:
13 cm
Step-by-step explanation:
The scale of the drawing was 1 centimeter : 4 meters.
x cm : 52 m Divide by 4
13 cm : 52 m
Three coffee and two muffins cost a total of 7 dollars. Two coffees and four muffins coast a total of 8 dollars. What is the individual price for a single coffee and a single muffin?
Step-by-step explanation:
Given,
3 coffee + 2 muffins = $7
and
2 coffees + 4 muffins = $8
let the coffee be x and muffins be y.
so now, we got
3x + 2y = $7 -----------(eqⁿ 1)
2x + 4y = $8 -------------(eqⁿ 2)
multiply (eqⁿ 1) by 2
we got,
2(3x + 2y = $7) = 6x + 4y = $14 -----(eqⁿ 3)
now, subtract (eqⁿ 2) from (eqⁿ 3)
we got,
(6x - 4y = $14) - (2x + 4y = $8)
we got,
4x = $6
x = 6/4 = $1.5
to get value of y put the value of x in eqⁿ2
we got,
→ 2(1.5) + 4y = $8
→ 3 + 4y = 8
→ 4y = 8 - 3 = 5
→ y = 5/4 = $1.25
hence,
value of one coffee = $1.5
value of one muffin = $1.25
Hope this answer helps you dear! take care!.
Evaluate the expression when a=-3 and x=5.
a-2x
Explanation:
We replace 'a' with -3, and we replace x with 5. Then evaluate.
a - 2x
-3 - 2(5)
-3 - 10
-13
Identify the diameter of the circle
WILL MARK BRAINLIEST!!! PLS HELP. ANY LINKS OR WRONG ANSWERS WILL BE REPORTED !!
Answer:
When reflected across the y-axis the point would be at (9,0)
work out the value of (3^(12) +3^(5) ) + (3^(2) x 3)
Answer:
the value of (3^(12) +3^(5) ) + (3^(2) x 3)=531711
4²+(3x6)-7 help please
Answer:
cevap 27
Step-by-step explanation:
4²+(3×6)-7
16+18-7
34-7
27
bu şekilde işlem sırası yanlış yazdıysam özürdilerim ama her türlü cevap 27 çıkıyor
There were approximately 16 million visitors to Disneyland in 2012. If the theme park is open every day of the year, about how many people visit per day?
Please help!! I need this ASAP
Answer:
a= 2.5 times 42
Step-by-step explanation:
i had this class last year
Complete the shape below so that AB is a line of symmetry
If 4 bushels of oats weigh 112 kg, how much do 8. 5 bushels of oats weigh?.
Answer:
238 kg
Step-by-step explanation:
If 4 bushels weight 112, then divide 112 by 4 and you get that each bushel weighs 28 kg. Now multiply that by 8.5.
Fred is 5 inches shorter than the quotient of Rick’s height and 4. let r represent Rick’s height. Write an expression that represents Fred’s height
Answer:
[tex] \frac{r}{4} - 5[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
The expression till now
[tex]\\ \sf{:}\Rrightarrow \dfrac{r}{4}[/tex]
But we need the expression for five less than the quotient
[tex]\\ \sf{:}\Rrightarrow \dfrac{r}{4}-5[/tex]
pls help on my maths
Answer:
X=((2q+5p)/3)^1/2
This is how x has to be subjected
Step-by-step explanation:
Please Brainlist
Answer:
[tex]x[/tex] = √2q + 5p / 3
Step-by-step explanation:
3[tex]x^{2}[/tex] = 2q + 5p
[tex]x^{2}[/tex] = 2q + 5p / 3
[tex]x[/tex] = √2q + 5p / 3
A sign along the highway says 6% grade for the next 7 mi. How many feet of vertical change there are along those 7 miles. (5280 feet
Answer:
Step-by-step explanation:
The length of the road is 7 * 5280 = 36960 feet
The grade is 6% which means that for every 100 feet horizontally, the road rises 6 feet.
6/100 * 36960 = 221760/100 = 2217.6 is the rise.
List all congruent angles and write a proportion that relates the corresponding side
Proportion of corresponding side is FH/JH = HG/HK = FG/JK.
What are congruent triangles?Congruent triangles are triangles that are the same size and shape in every way. The sign for congruent is ≅ . Two triangles are considered to be congruent if the measurements of one triangle's three sides and three angles are the same as those of another triangle's sides and three angles.
Given triangles are similar ΔFGH ∼ ΔJKH
We can make the angles of this statement that correspond to each other congruent. We can then write a proportion that relates the corresponding sides to one another because the sides of similar triangles are proportional to one another.
so angles ∠GFH ≅ KJH; ∠GHF ≅ ∠KHJ; ∠HFG ≅ ∠HJK
and proportion of corresponding side is FH/JH = HG/HK = FG/JK.
Hence the proportion that relates the corresponding side are FH/JH = HG/HK = FG/JK.
Learn more about congruent triangles;
https://brainly.com/question/22062407
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These are samples of student work. Both students got the same answer, but did the work differently. Which student did the work correctly?
Answer:
Student B did the problem corectly
Step-by-step explanation:
Student a did 3*4 while student B did 3*3*3*3 which would equal 27
PLEASE NO LINKS AND NO NEGATIVITY
Plz help! I have two parts to this :(
If I am correct, it is 36 because its b x h x l x 1/2
8. What number should come in the box to make the following statement true?
34 + 32 = 9 × ___
[tex]\huge\boxed{\sf{Hello\:there!}}[/tex]
First of all, we should add 34 and 32:
34+32=66
Now, let's divide both sides by 9:
66÷9=7.3333...
[tex]\huge\boxed{\sf{Hope\:it\:helps.\:Please\:mark\:Brainliest.}}[/tex]
[tex]\huge\bold{Good\:luck!}\\\huge\mathfrak{LoveLastsAllEternity}[/tex]
6. You have inherited a piece of land in the shape of a quadrilateral. It has the given measurements as shown. Find the length needed for a fence to be constructed from point A to point D. Find the angle mearurements of ÐA and ÐL. Also, find the area of the quadrilateral.
Answer:
Add up all the sides of the quadrilateral and the answer is the perimeter
Step-by-step explanation:
Order these numbers from least to greatest
Answer:
5.125 < 5.14 < 5.15 < 5 2/9
Step-by-step explanation:
i changed 103/20 to a decimal to make it easier and just left 5 2/9 the same, hope this helps <3
(1 x 3)+ (7 x 3) as a product of 2 factors
Answer:
3 + 21 = 24 and they are the product to the factors of 63
Step-by-step explanation:
1.(−9)÷ ?=5
2.?÷(−2)=−6.41
can you please help me
Answer:
D
Step-by-step explanation:
It has to be angle angle angle because angle angle angle cannot be used to prove that any triangles are congruent
Answer:
D
Step-by-step explanation:
angle-angle-angle, isn't a clear way to proof that it's congruent, you can say, it's NEVER a way.
Porfa ayúdenme a resolver lo de la ficha, plis.
Answer:
Step-by-step explanation:
Portf?
16. If a triangle has two side lengths of 8 inches and 23 inches, describe the possible lengths for the third
side?
Answer:
24
Step-by-step explanation:
How many solutions does the equation 6(x -2) = 8 + 6x have?
Answer:
There are no solutions.
Step-by-step explanation:
First simplify the equation.
6(x - 2) = 8 + 6x
Distribute.
6x - 12 = 8 + 6x
Adding 8 to a number and subtracting 12 from the same number to get the same answer doesn't make sense so there are no solutions.
pls help me pls help me pls help me
Answer:
C. 35
Step-by-step explanation:
First, let's put the first notebook.
1 2 3
1 2 4
1 2 5
1 2 6
1 2 7
We lose 1 step at each time.
1 3 2 is not ok because 1 2 3 is same as 1 3 2
5+4+3+2+1
Next, the other one.
4+3+2+1
3+2+1
2+1
1
5+4+3+2+1+4+3+2+1+3+2+1+2+1+1=35
35 different ways
=4x+5y=-10
20x - 25y = 50
What is the most simplified expression that is equivalent to (5y)^2. (16y^4)^1/2
The most simplified expression for [tex](5y)^2(16y^4)^{\frac{1}{2}[/tex] is [tex]100y^4[/tex]
The given expression is:
[tex](5y)^2(16y^4)^{\frac{1}{2}[/tex]
Expand the expression using the laws of indices
[tex]5^2y^2 \times 16^{\frac{1}{2}}y^{\frac{4}{2}\\\\[/tex]
[tex]25y^2 \times 4y^2[/tex]
Multiply like terms
[tex](25 \times 4)y^{2+2}[/tex]
The resulting expression is:
[tex]100y^4[/tex]
Therefore, the most simplified expression for [tex](5y)^2(16y^4)^{\frac{1}{2}[/tex] is [tex]100y^4[/tex]
Learn more on indices here: https://brainly.com/question/10339517