Vera gets a total of 6 more oranges than her brother
How to determine how many more oranges Vera gets?Their ages are given as
Vera = 11 years old
Her brother = 9 years old
When represented as a ratio, we have
Vera : Her brother = 11 years old : 9 years old
Remove the units
So, we have
Vera : Her brother = 11 : 9
Multiply both sides of the ratio by 3
This gives
Vera : Her brother = 33 : 27
When the above ratios are added, the solution is 60 i.e. the total number of oranges
So, we calculate the difference instead
Vera - Her brother = 33 - 27
Evaluate
Vera - Her brother = 6
Hence, she gets 6 more oranges
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From the top of a tower of height 65m, a man sees two goats both due west to him. If the angles of depression of the two goats are 15 degrees and 20 degrees, calculate the distance between them.
Answer:
In picture
Step-by-step explanation:
Brainliest please~Thank you
Which of the following best describes the surface area of a solid figure?
O A. Lateral area
B. Base area
C. Base area + lateral area
O D. Base area - lateral area
SNSMIT
Answer:
c. base area + lateral area
this is the best describe the surface area of a solid figure.
help me plzzzzzzzzzz
Answer:
Slope = rise/run
Rise = 0
So zero divided by any run is 0.
B
Answer:
B
Step-by-step explanation:
slope or gradient = rise/run
rise=0 0/anything= 0
Line B has no graidient so it is considered as 0.
identify the domain of the function shown in the graph
¿Cuanto es el 15% de 9,000?
Answer:
10% = 900
5% = 450
15% = 1,350
Please brainliest
A part of Jennifer’s work is to solve the equation 2(6x^2-3)=11x^2-x is shown below
Answer:
Step-by-step explanation:
2(6x² - 3) = 11x² - x
2*6x² - 2*3 = 11x² - x
12x² - 6 = 11x² -x
Subtract 11x² from both sides
12x² - 11x² - 6 = -x
x² - 6 = -x
x² + x - 6= 0
Sum =1
Product = -6
Factors = 3 , (-2) { 3*(-2) = -6 & 3 +(-2) = 1}
x² + 3x - 2x - 6 = 0
x(x + 3) - 2(x + 3)= 0
(x +3)(x - 2) = 0
Assuming exponential function has a starting value of 360 and a decay rate of 73% write an equation to model the situation
Answer:
a = 360 * 0.27^n
Step-by-step explanation:
a = 360 * (1 - .073)^n
a = 360 * 0.27^n
Write an integer for a “profit of $52 on a sale”
Answer:
Step-by-step explanation:
I'm going to answer this, but technically, I don't think I should. You can't get an integer for this unless you just pick one.
Sale = Cost + profit.
Cost = 40 dollars
Profit = 52 dollars
Sale = 40 + 52
Sale = 92 dollars.
If the cost = 40 dollars then the sale amount is 92 dollars.
Answer:
+52 or 52
Step-by-step explanation:
The integer 52 is an even number. The integer 52 is a Composite number. 46 is less than 52, so 52 is a deficient number. For 52 to be an integer, 52 has to be a whole number. Furthermore, for 52 to be an integer, you should be able to write 52 without a fractional or decimal ...
Yuron is sketching a scale drawing of a famous painting. The painting is 54 inches wide and 72 inches long. He used a scale factor of Two-thirds to make his sketch. How many inches wide is Yuron’s sketch?
36
48
81
84
Answer:
36
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
edg 2023
y^2-81
answer this please asap
Answer:
(y+9)(y-9)
Step-by-step explanation:
Which is true about the functional relationship shown in the graph?
Answer:
Explanation: Since, a function is always the type of y= f(x), where x is independent variable and y is dependent variable which is dependent on the value of x. Here, a graph of Olivia's earning per hour is given. ... Thus, we can say that earning is dependent variable while hours is independent variable
El registro de la cantidad de personas que ingresaron al servicio de urgencias n los días hábiles en un mes fue: 12, 24, 11, 13, 16, 17, 18, 20, 12, 18, 16, 15, 18, 19, 11, 13, 15, 14, 16, 18. Por lo tanto el 30% de la cantidad de personas es menor o igual a
Respuesta:
13,5
Explicación paso a paso:
Dados los datos:
12, 24, 11, 13, 16, 17, 18, 20, 12, 18, 16, 15, 18, 19, 11, 13, 15, 14, 16, 18
Reordenando los datos en orden ascendente:
11, 11, 12, 12, 13, 13, 14, 15, 15, 16, 16, 16, 17, 18, 18, 18, 18, 19, 20, 24
El 30% del número de personas es el percentil 30:
0.3 (n + 1) ésimo término.
n = tamaño = 20
0.3 (20 + 1) término
0.3 (21) término
6.3º término
(6 +7) a término
(13 + 14) / 2
13,5
From the information in the diagram can you prove FTG is congruent to FGE
Answer:
Yes, by AAA.
Step-by-step explanation:
The triangles share 3 pairs of congruent angles. Therefore, these triangles can be proven to be congruent by AAA congruence theorem.
Answer:
yes by ASA
Step-by-step explanation:
angle gdf equals angle edf
side DF is common to both
angle gfd equals angle efd
hence by ASA (short for angle side angle)
syd is on a cliff 43 feet above sea level ingrid dove into the sea and took photos of fish at 17 feet below sea level how far apart are syd and ingrid?
Answer:
60 ft
Step-by-step explanation:
Position of Syd = +43
Position of Ingrid = - 17
To find the distance between them, add the absolute value
I +43 I + I-17I = 43 + 17 = 60
Answer:
let's take the postion of sea level 0
such that
syds on a cliff 43 ft above sea level
his position = 43 ft
Ingrid is 17 feet below sea level so his position = 17 ft in the opposite direction as that of Syd.
since syd is 43 feet away from sea level, that is 0, and sea level is 17 feet away from Ingrid.
distance between syd and Ingrid = 43 + 17
= 60 ft
Pearl bought 45 lbs of clay for her art projects. She used 15.8 lbs to make a sculpture, and 0.72 lbs for each mug. How many mugs did Pearl make if she had 17.68 lbs of clay left over?
Answer:
16 mugs
Step-by-step explanation:
Total clay bought = 45 lbs
Clay used for sculpture = 15.8 lbs
Clay left over = 17.68 lbs
Clay used for each mug = 0.72 lbs
Number of mug = x
Total clay bought = Clay used for sculpture + Clay left over + (Clay used for each mug * Number of mug)
45 = 15.8 + 17.68 + (0.72 * x)
45 = 33.48 + 0.72x
45 - 33.48 = 0.72x
11.52 = 0.72x
x = 11.52/0.72
x = 16
Number of mug = x = 16 mugs
Solve for x in the triangle round your answer to the nearest tenth
Answer:
x ≈ 27.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 70°
Opposite Leg = x
Adjacent Leg = 10
Step 2: Solve for x
Substitute in variables [tangent]: tan70° = x/10[Multiplication Property of Equality] Multiply 10 on both sides: 10tan70° = xRewrite: x = 10tan70°Evaluate: x = 27.4748Round: x ≈ 27.5Find the value of cos
C rounded to the nearest hundredth, if necessary.
Answer:
cos C= 15/39
Step-by-step explanation:
The value of cos C rounded to the nearest hundredth is 0.38.
What is a cosine of an angle?
In a right angle triangle the cosine of an angle is the ratio of the length of the side adjacent to the angle to the length of the hypotenuse.
What is Pythagoras theorem?Pythagoras' theorem states that for all right-angled triangles, "The square on the hypotenuse is equal to the sum of the squares on the other two sides".
According to the given question
We have a right angled triangle ABC, in which right angle is at B.
Also,
BC = 15
AB = 36
[tex]AC = \sqrt{AB^{2}+BC^{2} }[/tex] (By Pythagoras theorem)
⇒[tex]AC = \sqrt{15^{2} +36^{2} }[/tex]
⇒[tex]AC = \sqrt{1521}[/tex]
⇒AC = 39
⇒ Hypotenuse of triangle ABC is 39.
Now, the adjacent side w.r.t ∠C is BC
Therefore, the cosine of an angle C is given by
[tex]cosC=\frac{BC}{AC}[/tex]
⇒[tex]CosC= \frac{15}{39} =\frac{5}{13}[/tex]
⇒[tex]cosC =0.38[/tex]
Hence, the value of cos C rounded to the nearest hundredth is 0.38.
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PLEASE HELP ME I NEED IT RN
Answer:
(47) c. given
(48) b. definition of complementary
(49) a, m<2 = m<3
(50) d. definition of congruent angles
Step-by-step explanation:
From the given question, the proof can be completed as;
Statement Reason
1. <2 and < 1 are complementary (47) c. given
<3 and <1 are complementary
2. m<2 + m<1 = [tex]90^{o}[/tex] (48) b. definition of complementary angles
m<3 + m<1 = [tex]90^{o}[/tex]
3. m<2 + m<1 = m<3 + m<1 3. Substitution property
4. (49) a, m<2 = m<3 4. Subtraction property
5. <2 ≅ <3 (50) d. definition of congruent angles
Therefore,
(47) c. given
(48) b. definition of complementary
(49) a, m<2 = m<3
(50) d. definition of congruent angles
What is the equation of the line
Answer:
y = -7
Step-by-step explanation:
The line represents the y-coordinate, because it is a straight line over the x axis, indicating it cant be an x coordinate
Because it is 7 units below the x-axis, it is -7
y = -7
If my answer is incorrect, pls correct me!
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-Chetan K
Find the slope from the two points given: (-4, 2) and (5, 6) *
Answer:
Slope = 4/9
Step-by-step explanation:
x1(-4,2)
x2(5,6)
Slope,
m = (y2-y1)/(x2-x1)
= (6-2)/(5--4)
=4/9
suppose a line has slope -2/3 and passes through the point (1, 8). which other point must also be on the graph
A (7, 4)
B (7, 12)
C (-5, 4)
D(-5, -12)
Answer:
A(7,4)
Step-by-step explanation:
-2/3 is the slope and the slope is the rise over the run, and we know it passes through the point (1,8).
Next, we can create a chart/table
X int-1+3=4, 4+3=7
Y int-8-2=6,6-2=4
1st point: (4,6)
2nd point: (7,4)
Hope I helped, have a nice day :)
Consider the given triangle. If a = 83 and b = 70, then the measure of ZB =
Answer:
If ZB is the 3rd angle, since a triangle has 180 degrees total just do 83+70+x=180 sooooo x=27
Step-by-step explanation:
In the diagram below, tan e = 3. What is the value of m?
Only the 3 is inside the square root.
=============================================================
Explanation:
Tangent is the ratio of opposite over adjacent.
We can express tan(theta) as y/x because of this. The point (1/2, m) shows that x = 1/2 and y = m.
So,
tan(theta) = y/x = m/(1/2) = 2m
If we're told that tan(theta) = sqrt(3), then we need to solve the equation below for m
2m = sqrt(3)
m = sqrt(3)/2
Which proportion could be used to find the length of side b?
Answer:
[tex]\text{B. }\frac{\sin 31^{\circ}}{9.3}=\frac{\sin 85^{\circ}}{b}[/tex]
Step-by-step explanation:
In any triangle, the Law of Sines states that the proportion of the sine of each angle and its opposite side is maintained throughout all 3 angles and their corresponding sides of a triangle:
[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex]
Thus, we have [tex]\implies \boxed{\text{B. }\frac{\sin 31^{\circ}}{9.3}=\frac{\sin 85^{\circ}}{b}}[/tex]
X
CO
f(x)
-10
-8
-6
Which is an x-intercept of the continuous function i
the table?
-2
-1
0
1
2.
3
(0, -6)
O (30)
-4
-2
0
不
(-6, 0)
(0,3)
Answer:
10
Step-by-step explanation:
X
CO
f(x)
-10
-8
-6l;
Which is an x-intercept of the continuous function rs are swamped. Wait for your answer to fully load.
the table?
-2
-1
0
1
2.
3
(0, -6)
O (30)
-4
-2
0
不
(-6, 0)
(0,3)
Here are 2 right triangles.
Part A: Explain how you know the right triangles are similar
Part B: Write a ratio that is equivalent to z/x
Part C: Which ratios of side length are equal to tan(a)
Part D: Explain why the values of the trigonometric ratios only depend on the angle and not on the particular lengths x,y,z,q,r,s
Part E: If y/z=O.7, what is the measure of to the nearest degree?
Answer
Part A: The right triangles are smiliar because If the lengths of the hypotenuse and a leg of a right triangle are proportional to the corresponding parts of another right triangle, then the triangles are similar.
Part B: 2z:2x or 2z/2x. You can write z/x as z:x. Then just multiply both sides by the same number to get an equivalent ratio. Let's multiply by 2. then the answer will be: 2z:2x or 2z/2x
Step-by-step explanation:
For the considered two right triangles, the evaluations for sub-parts of the problem are as follows:
They're similar by angle-angle similarity.The ratio which is equivalent to z/x isThe ratio of side lengths which are equal to [tex]\tan(a)[/tex] isThe values of the trigonometric ratios depends only on angles as angles of similar triangles are congruent.What is Angle-Angle similarity for two triangles?Two triangles are similar if two corresponding angles of them are of same measure. It is because when two pairs of angles are similar, then as the third angle is fixed if two angles are fixed, thus, third angle pair also gets proved to be of same measure. This makes all three angles same and thus, those two triangles are scaled copies of each other. Thus, they're called similar.
What are the six trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slant side is called hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
From that angle (suppose its measure is θ),
[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]
For the considered case of the specified two right angled triangles, we get the solutions to the parts given in the problem as:
Part 1: The right angled triangles have one angles as of 90 degrees. In the image given, it can be seen that the other angle is of [tex]\alpha[/tex] measures, which is also common in both the triangles.
Thus, two angle pairs in both the given triangles are of same measure. That makes both the specified triangles as a pair of similar triangles.
Part 2: The specified ratio is z/x. From the perspective of angle [tex]\alpha[/tex] , we see that z is serving as hypotenuse, and x is base, thus, the ratio z/x is sec([tex]\alpha[/tex] ) (as sec of an angle is ratio of hypotenuse to base)
Part 3: From the perspective of angle [tex]\alpha[/tex] , the perpendicular is the side 'y' and the base is side with length 'x' (we're considering first triangle here, as we can consider any one of them as both are similar).
Thus, we get tan of [tex]\alpha[/tex] as:
[tex]\tan(\alpha) = \dfrac{y}{x}[/tex]
Part 4: The values of the trigonometric ratios depend only on the angle(as they're functions of angles only) because they are ratio.
If a triangle is right angled, and has a specific angle, then whatever the side be, if that angle along with right angle is kept same, the triangles will be similar . That makes their sides a specific multiple of each other.
a side of one triangle = k times corresponding side of its similar triangle
where k is the scale factor, constant for one pair of similar triangles. Now when we will take their ratio, the value of k cancels out, leaving no difference between first triangle or second triangle, but only caring if they are similar or not(which depends on angles).
Thus, the trigonometric functions depend only on angles.
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if f(x) = -4x+3 and g(x) = 3 +2x-4 find (f+g) (x)
Answer:
Please be careful with your typing [f(x)=-sqrt(x)+6 ... right? g(x)=-4*sqrt(x)-3 ... or -4*sqrt(x)+3 ... one or the other, right?
If so, you are dilating by a factor of 4, -1 versus -4 as multiplier of sqrt(x); and, translating up 3 units (6 versus 3) or 9 units (6 versus -3).
Step-by-step explanation:
Answer:
-2x+2
Step-by-step explanation:
f(x) = -4x+3 and g(x) = 3 +2x-4
Note what you put for g(x) simplifies to 2x-1
(f+g) (x) = -4x+3+ 3 +2x-4
Combine like terms
= -2x+2
h (p) = p2 – 3p, find h (2)
Answer:
-2
Step-by-step explanation:
see Image below:)
need help on trigonometry again
Answer:
[tex]\fbox{3\sqrt{2}}[/tex][tex]3\sqrt2[/tex]
Step-by-step explanation:
Step 1:
Let us figure out the measurements of all the angles first. We are given one angle of 45º, and another of 90º. The angles of a triangle must add up to 180º, hence we can use basic addition and subtraction to find the last angle.
[tex]\angle=180-90-45\\\angle=45[/tex]
Great our angle is 45º! Notice something...?
Step 2:
We now have two 45º angles in our triangle. This means we have an isosceles triangle.
According to BATh (base angle theorem), in an isosceles triangle, the angles opposite the congruent sides are congruent. Thus, y is congruent to the given side of [tex]3\sqrt2[/tex].
y=[tex]\fbox{3\sqrt{2}}[/tex][tex]3\sqrt2[/tex]
I hope this helps! Let me know if you have any questions :)
?
—— x 8 = 7
8
*please help and explain how you got the answer :)*
Answer:
7
Step-by-step explanation:
7 divided by 8 multiplied by 8 would be 7