Answer:
Step-by-step explanation:
take 23 degree as reference angle
using tan rule
tan 23=opposite/adjacent
0.42=x/3.2
3.2*0.42=x
1.34=x
1.3=x
Answer:
x equals to about 1.36
Step-by-step explanation:
Okay so first of all list write out Sin Cos and Tan. SOH-CAH-TOA
Now lets see what we are given. For the reference angle we are given 23.
We are also given 3.2 which is the adjacent angle. And the angle opposite of the reference angle is x. So all in all we have <23, Adjacent length 3.2, opposite length x.
Now we see which one would fit for this. That would be Tan since it deals with adjacent and opposite angles.
Now lets write it out as an equation. tan(23)= x/3.2 | Okay now next to get x alone we move it to the right side. That would leave us with tan(23)*3.2 which equals to about 1.36 "1.35831941187". Remember to use degree and not radiant.
An image is also added.
Hope it helps.
Consider this linear function:
y= 1/2x+1.
Plot all ordered pairs for the values in the domain.
D: {-8, -4, 0, 2, 6}
Answer:
(-8,-3)
(-4,-1)
(0,1)
(2,2)
(6,4)
Step-by-step explanation:
One by one, substitue the x values and solve for y
Answer:
negative 4
Step-by-step explanation:
go
PLEASE HELP ME!! Kevin earns a base salary of $350.00 every week with an additional 12%
commission on everything he sells. If Kevin sold $4950.00 worth of items
last week, what was his total pay?
============================================================
Explanation:
He sold $4950 worth of items. Take 12% of this amount to get
12% of 4950 = 0.12*4950 = 594
So he earns $594 in commission on top of the $350 base salary paid every week. In total, he earns 594+350 = 944 dollars for that week
This isn't the per week pay because he would need to sell exactly $4950 worth of goods each week to keep this same weekly pay.
The monthly family income of a family is $15,000. They spend 28% of their monthly income on food. How much do they spend on food each month?
Answer - $
(fill in the value)
Answer:
$1000 each month.
Step-by-step explanation:
$1000 because 12 month and 1 month=$1000 the family have $3000.
Andrew wants to buy a pair of jeans costing $60. Sales tax on his
purchase is 13%.
a)
How much tax will Andrew be charged?
Answer:
$67.80
Step-by-step explanation:
$60.00*13%=$7.80
$60.00+$7.80
=$67.80
What is the volume of the sphere m? Round your answer to the nearest hundredth
Answer:
below
Step-by-step explanation:
x = 8 *sin45
x =5.657
r = x = 5.657 in
v = 4/3πr³
v = 4/3 * 3.142*(5.657)³
v= 758.41 in
Answer:
758.25 in.^3
Step-by-step explanation:
a^2 + b^2 = c^2
2a^2 = 64
a^2 = 32
a = sqrt(32)
V = (4/3)(pi)r^3
V = (4/3)(3.141592654)(5.6568542459)^3
V = 758.25 in.^3
What is photosynthesis?
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓[tex]\pmb{\qquad{\qquad{\underline{\green{\underline{\sf{Photosynthesis}}}}}}}[/tex]
Photosynthesis is the process by which green plants take in carbon dioxide and water, in the presence of chlorophyll by using sunlight to make their own food. Oxygen is released as a by product.
Chemical Reaction for PHOTOSYNTHESIS:
[tex]\sf 12H_2O + 6CO_2 \underset{chlorophyll}{\xrightarrow{Sunlight}} C_6H_{12}O_6 + 6H_2O + 6O_2 \uparrow[/tex]▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
Triangle ABC is a right triangle.
The lengths of one leg is 60 feet, and the hypotenuse is 61 feet.
What is the length, in feet, of the other leg?
Answer:
Hello! answer: 11
Step-by-step explanation:
60 × 60 = 3600
11 × 11 = 121
3600 + 121 = 3721
√3721 = 61
therefore 11 is the missing leg Hope that helps!
please help me !!!!
9514 1404 393
Answer:
(a) 260 square centimeters
Step-by-step explanation:
The figure consists of a 10 cm square and four congruent triangles with base 10 cm and height 8 cm. Using the formulas for the area of a square and a triangle, the total area is ...
area = square area + 4 × triangle area
area = s² + 4×(1/2bh) = (10 cm)²+ 2(10 cm)(8 cm) = (100 +160) cm²
area = 260 cm²
for an art prohect, a cirlce made of construction paper is cut into thirteen equal slices, six of the slices are removed. write the remaining portion of the circle as a fraction. do not reduce the fraction
Answer:
7/13 slices
Step-by-step explanation:
13-7
Can y’all help me solve this question it’s due by the end of the day and I’m failing math?explain it plz
Answer:
x=4 and y=−4
Step-by-step explanation:
Let's solve your system by elimination.
−x−2y=4;3x+2y=4
−x−2y=4
3x+2y=4
Add these equations to eliminate y:
2x=8
Then solve 2x=8 for x:
2x=8
2x
2
=
8
2
(Divide both sides by 2)
x=4
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
−x−2y=4
Substitute 4 for x in−x−2y=4:
−4−2y=4
−2y−4=4(Simplify both sides of the equation)
−2y−4+4=4+4(Add 4 to both sides)
−2y=8
−2y
−2
=
8
−2
(Divide both sides by -2)
y=−4
I have a large money box, about 10 inches wide and 5 inches tall. Roughly, how many coins can I place in my empty money box?"
Answer:
Overall, it depends what type of coin you are using because each ones size is different. Or, if you are referring to the riddle it will be just one coin.
The correct answer is approximately 3,968 coins can be placed in the empty money box based on estimation. Based on these calculations, you can roughly estimate a volume calculation that place around 7936 coins in your empty money box, assuming the coins are similar in size to a quarter.
To estimate the number of coins that can fit in your money box, we need to consider the volume of the box and the volume of a single coin.
Calculate the volume of the money box:
Volume = Length * Width * Height
Volume = 10 inches * 10 inches * 5 inches
Volume = 500 cubic inches
Estimate the volume of a single coin. Let's assume a common coin, such as a quarter:
Diameter of a quarter ≈ 0.96 inches
Thickness of a quarter ≈ 0.07 inches
Volume of a coin ≈ π * ([tex]radius^2[/tex]) * thickness
Volume of a quarter ≈[tex]3.14 * (0.48) ^2 * 0.07[/tex]inches
Volume of a quarter ≈ 0.063 cubic inches
Calculate the number of coins that can fit in the money box:
Number of coins ≈ Volume of the money box / Volume of a coin
Number of coins ≈ 500 cubic inches / 0.063 cubic inches
Number of coins ≈ 7936 coins (approximately)
Therefore, approximately 3,968 coins can be placed in the empty money box based on estimation. Based on these calculations, you can roughly estimate a volume calculation that place around 7936 coins in your empty money box, assuming the coins are similar in size to a quarter.
Learn more about volume and estimations here:
https://brainly.com/question/20664459
#SPJ2
PLEASE HELP QUICK
Factor out the GCF of 14x4 + 21x2 + 28x
Answer:
14×4+21×2+28=126
Step-by-step explanation:
correct me if I'm wrong
I’ll give brainliest
Answer:
Hello! answer: -12
Step-by-step explanation:
-36 ÷ 3 = -12
-72 ÷ 6 = -12
-108 ÷ 9 = -12
answer is -12
Answer:
-12
Step-by-step explanation:
To do this, you have to divide the x and y, to find the scale factor.
-36 ÷ 3 = -12
So the answer is -12.
What is the midpoint of the segment shown below?
(-2,4) (6,-4)
A. (3, 0)
B. (1, 0)
C. (4, 0)
D. (2, 0)
a p e x :(
Answer:
answer is option D
Step-by-step explanation:
(-2 , 4) = (x1 , y1)
(6 , -4) = (x2 , y2)
midpoint = (x1 + x2/2 , y1 + y2/2)
=(-2 +6/2 , 4+(-4)/2)
=(4/2 , 0/2)
=(2 , 0)
(5x20)+(8x10) PLEASE HELP
Answer:
180
Step-by-step explanation:
5*20 is 100. 10 *8 is 80. then you add
Gregory knows that ABC is reflected onto A'B'C. Which statement about the figures is true? Olf Gregory draws the segment with endpoints A and A', then the midpoint will lie on the line of reflection O If Gregory draws the segment with endpoints B and C', then the midpoint will be on the line of reflection O Points A and B are equidistant from the line of reflection O AB will be perpendicular to the line of reflection
The true statement about the reflection is (a) If Gregory draws the segment with endpoints A and A’, then the midpoint will lie on the line of reflection.
When a shape is reflected, it must be reflected across a line (called the line of reflection)
The line of reflection is always located at a point equidistant to the image and the pre-image of the shape that is being reflected
Hence, the true statement is (a) If Gregory draws the segment with endpoints A and A’, then the midpoint will lie on the line of reflection.
Read more about reflection at:
https://brainly.com/question/4289712
Answer:
a
Step-by-step explanation:
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Look at the triangle below which of the following represents two of the angle measures of the triangle
Answer:
x = 7
two of the angles 60 and 80
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180
8x + 4 + 6x - 2 + 10x + 10 = 180 add like terms
24x + 12 = 180 subtract 12 from both sides
24x = 168 divide both sides by 24
x = 7 replace x with 7 in the equation to find the angle measures
6x - 2 = 40
10x + 10 = 80
8x + 4 = 60
A new type of electronics flash for cameras will last an average of 5000 hours with a standard deviation of 500 hours. A company quality control engineer intends to select a random sample of 100 of these flashes and use them until they fail. What is the probability that the mean life time of 100 flashes will be less than 4928 hours
Answer:
"0.0749" is the correct solution.
Step-by-step explanation:
Given:
Mean,
[tex]\mu=5000 \ hours[/tex]
Standard deviation,
[tex]\sigma=500 \ hours[/tex]
Random sample,
[tex]n = 100[/tex]
∴ [tex]\mu_\bar x \ = \ \mu[/tex]
[tex]=5000 \ hours[/tex]
Now,
⇒ [tex]\sigma_\bar x[/tex] = [tex]\frac{\sigma}{\sqrt{n} }[/tex]
= [tex]\frac{500}{\sqrt{100} }[/tex]
= [tex]50 \ hours[/tex]
hence,
The probability will be:
= [tex]P(\bar X<4928)[/tex]
= [tex]P(\frac{\bar x-\mu_ \bar x}{\sigma_x} < \frac{4928-5000}{50} )[/tex]
= [tex]P(z<\frac{-72}{50} )[/tex]
= [tex]P(z<-1.44)[/tex]
= [tex]0.0749[/tex]
Pat used unit cubes to build a right rectangular prism with a volume of 32 cubic units. The height of the prism is 4 units. What figure could be the bottom layer of the prism?
Answer:
It must be a rectangle with dimension of either 1 by 8 or 2 by 4
Step-by-step explanation:
V = l*w*h
32 = l*w*4
32/4 = l*w*4/4
8 = l*w
We could have 1*8
We could have 2*4
It must be a rectangle
It must be a rectangle with dimension of either 1 by 8 or 2 by 4
Please help and don’t give links
Answer:
B.d.c.b.a.c.b is. respectively answer
I will mark brainiest and give pints
Answer:
the area for the shape is 25
Answer:
Area = 25 m²
Step-by-step explanation:
A = (d₁ * d₂) / 2
A = (10 * 5) / 2
A = 50 / 2
A = 25 m²
Hope this helps!
1 Which set of ordered pairs does not represent a function?
1 {(1, 10), (3, 18), (5, 26), (7, 34), (9, 42)
2 {(2, 10), (3, 20), (4, 15), (5,5), (6,25)
3 {(0,8), (5,4), (10,0), (15, 4), (20,8)
4 {(9, 1), (6,2), (3, 3), (6,4), (9,5)}
Faisal tries to solve
(x + 2)(x - 7) = 0
Here is his working.
(x + 2) = 0
or
(x - 7) = 0
Answer
x = 2
or
x=7
Give a reason why his answer is wrong.
Answer:
He should have subtracted 2 from each side to find the solution for x+2 =0
Step-by-step explanation:
(x + 2)(x - 7) = 0
Using the zero product property
x+2 = 0 x-7=0
x+2-2=0-2 x-7+7=0+7
x = -2 x=7
He should have subtracted 2 from each side to find the solution for x+2 =0
Step-by-step explanation:
the steps he took are correct but the answer of x is somehow wrong because
(x+2)=0
x = -2
and not x = 2
Maria earns 13 dollars each hour working part-time at a bookstore. She earns one additional dollar for each book that she sells.
Let A be the amount (in dollars) that Maria earns in an hour if she sells B books.
Write an equation relating A to B. Then graph your equation using the axes below.
Answer:
a = 13 + b
Step-by-step explanation:
How many cups are in 25 gallons
Answer:
400
Step-by-step explanation:
The process would be the amount of 1 gallon times 25. Hope this helped you out :)
2/3 feet is how many inches
Answer:
(2/3) foot = 8 inches
Need these written in standard form!
Which sequence can be defined by the recursive formula f(1) = 4, f (n + 1) = f(n) - 1.25 for n 2 1?
O 1,-0.25,-1.5, -2.75, -4,...
O 1, 2.25, 3.5, 4.75, 6, ...
O 4,2.75, 1.5, 0.25,-1, ...
O 4,5.25, 6.5, 7.75, 8, ...
Answer:
the third option
4, 2.75, 1.5, 0.25, -1, -2.25, ...
Step-by-step explanation:
the first value in the sequence is 4.
that eliminates already answer options 1 and 2.
and the values are going down, as we continuously subtract 1.25 from the previous sequence number.
but answer option 4 shows a sequence, where the values go up.
so, only option 3 remains and is correct
4-1.25 = 2.75
2.75-1.25 = 1.5
1.5-1.25 = 0.25
0.25-1.25 = -1
...
HELPPPPPPPP 17 PTSSSSSSSSSSSSSSSSSS
Answer:
A: 360
Step-by-step explanation:
Split the trapezoid into 2 shapes
Then find the area of the rectangle on the left:
18 × 15 = 270 square yards
Now for the triangle, first find the base by subtracting the 2 parallel lines:
25 - 15 = 10 yards
0.5(10 × 18) = 90 square yards
Add both areas to find total area:
270 + 90 = 360 square yards
All this can be seen in the figure below:
PLS PLS ANSWER SOMEONE
Answer:
the answer i think it is 5
im not 100% sure on what the question is, but i hope this helps
Step-by-step explanation:
