Answer:
3/5
Step-by-step explanation:
1. Establish the Equation: SinA = [tex]\frac{21}{35}[/tex]
2. simplify [tex]\frac{3}{5}[/tex]
Answer:
sinA = [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{21}{35}[/tex] = [tex]\frac{3}{5}[/tex]
This trapezium is drawn on a centimetre grid.
Find the area of the trapezium.
Answer:
A = 18 units²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h ( b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
By counting squares
h = 3, b₁ = 3, b₂ = 9 , then
A = [tex]\frac{1}{2}[/tex] × 3 × (3 + 9) = 1.5 × 12 = 18 units²
 The angle of elevation to a nearby tree from a point on the ground is measured to be 65°. How tall is the tree if the point on the ground is 92 feet from the tree? Round your answer to the nearest hundredth of a
foot if necessary.
Answer:
197.3 feet
Step-by-step explanation:
197.295 rounded to the nearest hundredth is 197.30 or 197.3
The height of the tree if the point on the ground from the tree is 92 feet will be 197.29 feet.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.
The angle of elevation to a nearby tree from a point on the ground is measured to be 65°.
The height of the tree if the point on the ground from the tree is 92 feet. Then we have
Let h be the height of the tree. Then we have
[tex]\tan 65^o = \dfrac{h}{92}\\\\ 2.1445\ = \dfrac{h}{92}[/tex]
Then we have
[tex]\rm h = 2.1445 \times 92\\\\h = 197.29\ ft[/tex]
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
i need help on this please SHOW WORK
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
See this attachment
Write each power as a single power, then evaluate (9
Answer:
Step-by-step explanation:
a. 〖(9^8)〗^0 = 1
b. 〖〖[(-2)〗^4]〗^2 = 256
c. 〖–(3^2)〗^3 = -729
HELP!!!
A car manufacturer collects data on the number of gallons of gasoline left in the gas tank after driving for different numbers of miles. The manufacturer creates a scatter plot of the data and determines that the correlation coefficient is −0.92.
Select each true statement based on this correlation coefficient.
A.) There is a weak correlation between the number of miles driven and the gallons of gasoline left in the tank.
B.) There is a negative correlation between the number of miles driven and the gallons of gasoline left in the tank.
C.) There is no correlation between the number of miles driven and the gallons of gasoline left in the tank.
D.) There is a linear correlation between the number of miles driven and the gallons of gasoline left in the tank.
E.) There is a strong correlation between the number of miles driven and the gallons of gasoline left in the tank.
The statement that is true about the variables analyzed is that there is a negative correlation between the number of miles driven and the gallons of gasoline left in the tank.
What is correlation?This refers to the relation or connection between two or more variables. In this case:
Amount of gasolineNumber of milesWhat does -0.92 mean?This has the sign -, which shows the correlation is negative. This implies that as the number of miles increase the amount of gasoline decreases.
Learn more about gasoline in: https://brainly.com/question/12847098
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Find f(-3) for f(x) = 4(2)^x
O A. -32
O B. 1/2
O C. -24
O D. 1/8
Answer:
B. 1/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 4(2)ˣ
Step 2: Evaluate
Substitute in x [Function f(x)]: f(-3) = 4(2)⁻³Exponents: f(-3) = 4(1/8)Multiply: f(-3) = 1/2Use the parabola tool to graph the quadratic function f(x)=−x2+4. Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answer:
see below
Step-by-step explanation:
f(x) = -x^2 +4
The vertex form is
y = a(x-h)^2 +k
Rewriting
f(x) = -(x-0)^2 +4
The vertex is (0,4) and a = -1
Since a is negative we know the parabola opens downward
f(x) = -(x^2 -4)
We can find the zeros
0 = -(x^2 -2^2)
This is the difference of squares
0 = -(x-2)(x+2)
Using the zero product property
x-2 =0 x+2 =0
x=2 x=-2
(2,0) (-2,0) are the zeros of the parabola and 2 other points on the parabola
We have the maximum ( vertex) and the zeros and know that it opens downward, we can graph the parabola
Answer:
Your vertex is (4,0)
Step-by-step explanation:
solve/ Find the area….
Answer:
D. 195 cm^2
Step-by-step explanation:
The given is a trapezoid and to calculate the are of it we use the following formula :
(a+b)/2*h (a: base, b: base, h: height)
(9+21) / 2 * 13 = 195
Miss. Christina deposits her monthly salary $9000 in a bank which pays 7% interest compounded half yearly. How much will she get after 10 years?
A.18,122
B.18,014
C.17,908
D.17,704
A car travels 600 km in 6 hours. at what rate of speed is the car traveling?
Step-by-step explanation:
100Km/hours......V/T
which of the following pairs of equations are perpendicular
Answer:
were are the pairs?
what is the cosine of 122.2
cosine 122.2 = -0.532876276......
The measure of the angles of a triangle are 34 degrees and 45 degrees. What is the measure of the third angle
If the scale on the map is 1cm :112 km. If two places are 197 miles apart. How far apart are they on a map
Answer:
22.4 cm
100% 2021 on edge!
Step-by-step explanation:
The ratio of flour to water is 2 to 1 for biscuits Is Lisa has 4 cups of flour how much water should she add to make biscuits
Answer:
she should add 2 cups of water.
Step-by-step explanation:
2 : 1 = 4 : 2
does this table represent a function? Why or why not?
X: 2 2 3 4 5
Y: 1 4 4 2 5
Please answer it ASAP
Can someone help me with this math homework please!
Answer:
f(n+1) = f(n) - 5
Step-by-step explanation:
Just find some relationship between 2 numbers that are next to each other.
Which table of values could be generated by the equation 10x+5y=15? (Will give brainlest and 21 points)
Answer:
(For the image) A
Step-by-step explanation:
the dual bar chart below shows how a group of 190 students travel to school. given that 50 students, said they travel to school by car complete the table below
The image of the bar chart is missing and so i have attached it.
Answer:
Bus = 75
Cycle = 20
Walk = 45
Step-by-step explanation:
We are told that 50 students said they travel to school by car.
However, in the bar chart, we see that we have a portion for boys and girls
Under car, when we count along the y-axis, we will see that, there are 6 units for boys and 4 units for girls.
Thus, to find the value of a unit since number of people that took cars is 50, we have;
(6x + 4x)/2 = 50
Where x is the value of one unit. Thus;
10x/2 = 50
5x = 50
x = 50/5
x = 10
Thus, a unit is 10
Under bus;
Boys have 7 units while girls have 8 units.
Thus;
Frequency by bus = ((7 × 10) + (8 × 10))/2 = 150/2 = 75
Under cycle;
Boys have 1 unit while girls have 3 units.
Thus;
Frequency by cycle = ((1 × 10) + (3 × 10))/2 = 20
Under walk;
Boys have 5 units while girls have 4 units.
Thus;
Frequency by cycle = ((5 × 10) + (4 × 10))/2 = 45
H E L P !
Given that the Universal set is numbers 1 through 20, write the complement of the set A.
Set A : {1, 3, 7, 12, 14, 17, 19, 20}
Answer:
A' : {2, 4, 5, 6, 8, 9, 10, 11, 13, 15, 16, 18}
Which represents the polynomial below written in standard form?
1 - 3х + 4х2 + ()
4x2-3x+1
represents the polynomial below written in standard form
slove................
Angle 4 and Angle 2 are vertical angles, meaning that they are congruent. Therefore, the measure of angle 2 is 127 degrees.
Angle 4 and Angle 3 are a linear pair, meaning that they are supplementary and add up to 180 degrees. Therefore, the measure of angle 3 is 53 degrees.
Angle 3 and Angle 1 are vertical angles, meaning that they are congruent. Therefore, the measure of angle 1 is 53 degrees.
Hope this helps!
Answer:
<1 = 53
<2 =127
<3 = 53
Step-by-step explanation:
Angles 2 and 4 are vertical angles and vertical angles are equal
<2 = <4 = 127
<1 + <2 =180 since they form a straight line
<1 + 127 = 180
< 1 = 53
<1 and <3 are vertical angles so they are equal
<1 = <3 = 53
F(x)=-x^2+2mx+2m-3 with x<0
Answer:
m<√-3 OR m<√3i
Step-by-step explanation:
f(x)=x²+2m(x+1)-3
with x<0
b²-4ac<0
(2m)²-4(1×-3)<0
4m²+12<0
4m²<-12
m²<-12/4
m²<-3
m<√-3 OR m<√3i
Which multiplication expression can be used to check this division problem:
2/5 ÷ 4/15 = 3/2
° 2/5 × 4/15
° 3/2 × 4/15
° 3/2 × 15/4
° 5/2 × 15/4
Answer:
° 3/2 × 4/15
Step-by-step explanation:
for checking a division problem use the product and one of the fractions to multiply. if the answer matches the other fraction then your division is correct.
Can someone help me with this math homework please!
Answer:
Second optionAs the x-values go to negative infinity, the function´s values go to positive. infinity.
--------------------------
Hope it helps...
have a great day!!
Answer:
(B) As the x-values go to negative infinity, the function's values go to positive infinity.
Step-by-step explanation:
The x-values the answer choices are talking about are the values on the x-axis.
Looking at the graph, when the x-values go to negative infinity (meaning it keeps on going left, or negative), the function goes up, meaning the function goes to positive infinity.
When the x-values go to positive infinity (meaning it keeps on going right, or positive), the function goes up, meaning the function goes to positive infinity.
Out of all the answer choices, only B agrees with the observations written above.
Hope that helps (●'◡'●)
Jimmy's cedar trunk is in the shape of a rectangular prism and has a volume of 3/4 cubic yard. How many cubic blocks with a side length of 1/2 yard would Jimmy need to measure the volume of his trunk?
Answer: 6 blocks
Step-by-step explanation:
Given
Volume of the rectangular prism is [tex]V=\dfrac{3}{4}\ yd^3[/tex]
Length of the cubic block is [tex]a=\dfrac{1}{2}\ yd[/tex]
Volume of each cubic block is
[tex]\Rightarrow V_o=\left (\dfrac{1}{2}\right)^3\\\\\Rightarrow V_o=\dfrac{1}{8}\ yd^3[/tex]
Suppose, n blocks are required to measure the volume of Prism
[tex]\Rightarrow V=nV_o\\\\\Rightarrow \dfrac{3}{4}=n\cdot \dfrac{1}{8}\\\\\Rightarrow n=\dfrac{3\times 8}{4}\\\\\Rightarrow n=6\ \text{blocks}[/tex]
Thus, 6 blocks are required to measure the volume of prism.
Yes that person is correct
what is 3x10x178 I need help asap
Answer:
3x10=30 30x178=5,430
Step-by-step explanation:
[tex]3 \times 10 \times 178 \\ 30 \times 178 \\ 5340 \: \: answer[/tex]
in a survey 50% like cold drinks 30% like hot drinks and 40% like juice. Likewise 20% of them like cold and hot drinks 18% like cold drinks and juice, 12% like hot drinks and juice and 5% like all three drinks. represent the above information in a venn diagram and find the percent of people who like:
i) at least one of the drinks
ii) exactly two types of drinks
iii) exactly one type of drink
iv) none of the drinks
Answer:
Step-by-step explanation:
C -> Percentage of people who take cold drinks
H -> Percentage of people who take hot drinks
J - > Percentage of people who take Juice
i) At least one of drinks = 17 + 3 +15 +18 +7 + 15 + 5 = 75%
ii) Exactly two types of drinks = Percentage of people who take cold and hot drinks + Percentage of people who take cold and Juice + Percentage of people who take hot drinks and Juices
= 15 + 13 + 7
= 35%
iii) Exactly one type of drink = Percentage of people who take only cold drinks + Percentage of people who take only hot drinks + Percentage of people who take only juices
= 17 + 3 + 15
= 35%
iv) None of the drinks = Total percentage - at least one of the drinks
= 100 - 75
= 25%
What is the midpoint of the segment shown below?
10
O A. (-3,-11)
O B. (-9,-)
10
(-12, -3)
O C. (-9.-11)
(3.-8)
OD. (-:-)
Which of the following represents the solution to the inequality
Answer:
the question?
Step-by-step explanation: