Answer:
x = 4[tex]\sqrt{3}[/tex] , y = 4
Step-by-step explanation:
using the cosine and sine ratios in the right triangle and the exact values
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{8}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 8[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
x = 4[tex]\sqrt{3}[/tex]
and
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{8}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2y = 8 ( divide both sides by 2 )
y = 4
pls help me i need help
Answer:
[tex]4p^2-3[/tex]
Step-by-step explanation:
Write and solve an equation to find the value of x
Answer:
Equation: x+90=7x
Answer: x=15
Step-by-step explanation:
By looking at the image, I can tell that both of those angles are vertical.
Vertical angles mean that both of the angles would be equal. Therefore, we can set x+90 = 7x
You then subtract x from both sides, leaving us with 90 = 6x
From there, divide both sides by 6 to isolate 6 to 1, and you are left with 15= x or x=15, giving you your answer and equation.
The value of x is 15.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Given that the two angle measures (x + 90)° and 7x°.
And both the angle measures are formed by opposite angles,
so,
x + 90 = 7x
Taking like terms to one side,
we get,
7x - x = 90
6x = 90
Divide by 6, and we get,
x = 90/6
x = 15
Therefore, x = 15°.
To learn more about the angle measure;
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when I think of a number, double it , then add seven , I get 23. Determine the number I first thought of
Answer:
8
Step-by-step explanation:
2x + 7 = 23
2x = 16
X = 8
I need this answered real quick
Answer:
11x+60° =93
11x =93-60
x=33/11
x=3
z+93 = 180 (being angles in st. line)
z=180-93
z= 87
Answer:
x=3
z=87
Step-by-step explanation:
Using the vertical angles rule, we can set 11x+60=93, solve for x:
[tex]11x+60=93\\11x=33\\x=3[/tex]
Since two angles on a line add up to 180, we can find z by setting 180=z+93, solve for z:
[tex]180=93+z\\87=z[/tex]
A recipe for muffins calls for 1 1 over 3 cups of milk. a recipe for bread calls 2 over 3 cup of milk how much more milk is needed for the muffin recipe than the bread recipe
Answer:
The Muffin Recipe calls for 3 more cups of Milk than the Bread Recipe.
Step-by-step explanation:
11/3=
3[tex]\frac{2}{3}[/tex]
2/3
We can see that the difference is GREAT. So, now, let's subtract.
[tex]3\frac{2}{3} -\frac{2}{3} =3[/tex]
So hence, the Muffin Recipe calls for 3 more cups of Milk than the Bread Recipe!
----------------------------------------------------------------------------------------------------------"The beautiful thing about learning is that no one can take it away from you!"
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Have a great night!
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The muffin recipe requires 2/3 cup more milk than the bread recipe.
What is subtraction?Subtraction is a mathematical operation. Which is used to remove terms or objects in the expression.
To find out how much more milk is needed for the muffin recipe than the bread recipe,
we need to calculate the difference between the amount of milk required for each recipe.
The muffin recipe calls for 1 1/3 cups of milk, which is equivalent to 4/3 cups of milk.
The bread recipe calls for 2/3 cup of milk.
To find the difference between the two amounts of milk, we can subtract the milk required for the bread recipe from the milk required for the muffin recipe:
4/3 - 2/3 = 2/3
Therefore, 2/3 is the required fraction.
To learn more about subtraction;
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Evaluate (2 minus 5 i) (p + q) (i) when p = 2 and q = 5 i.
29 i
29 i - 20
- 21 i
29
Abebi surveyed how many miles the students in her Algebra 1 class travel to get to school, and ended up with the following set of data: 4.75, 2.25, 3, 3.5, 1.75, 2.25, 1.5, 5, 4.5, 2.25, 2, 3, 2.65, 4.8, 3.5\
Match the measures of central tendency to the correct values.
Hint:
MEAN = Sum of the data/# of data values
MEDIAN = middle data value when values are listed least to greatest
MODE = value appearing the most times
RANGE = difference between the largest and smallest values
Answer:
Mean: 3.1
Median: 3
Mode: 2.25 appears 3 times
Range: 5 - 1.5 = 3.5
Mean = (4.75+2.25+3+3.5+1.75+2.25+1.5+5+4.5+2.25+2+3+2.65+4.8+3.5)/16
= 3.56625
Median = 3.50
Mode = 2.25
Range = 9.10
a
С
b
60°
45°
Find a, b, and c.
Answer:
Step-by-step explanation:
What is the volume of the rectangular prism below in cubic inches?
Answer:
24
Step-by-step explanation:
The volume formula is all the dimensions multiplied together, or lengthxwidthxheight.
So, you do 1x1x2 which is 2 feet. HOWEVER, it is looking for CUBIC INCHES, not cubic FEET.
There are twelve inches in a foot so 2x12=24 inches.
At how many hours will blake earn the same amount in both jobs?
Answer: 6.15 you already solved it congrats
Step-by-step explanation:
you already equal both amount equations to each other therefore you are solving for the hours he gets equal pay
story with these 5 letters comprehend, collect, compare, community, college asap
In the word document :)
How would you expand log412 so that it can be evaluated, given log43 ≈ 0.792? Log Subscript 4 Baseline 3 times log Subscript 4 Baseline 4 StartRoot a squared + b squared EndRoot log 3 + log 4 log Subscript 4 Baseline 3 + log Subscript 4 Baseline 4 log 3 times log 4
Answer: log412 = 1.792
Step-by-step explanation:
log412 = log4(3 x 4)
log4(3 x 4) = log4(3) + log4(4)
log4(4) = 1
log4(3) = .792
1 + .792 = 1.792
log412 = 1.792
Find the area of the following triangle. Show each of the math steps that you use to find the area. Then explain how to go about finding the area of this particular triangle (explain each one of the steps that you showed with your math).
Right angled triangle
Base=B=2.4cmHeight=H=1.8cmArea:-
[tex]\\ \rm\rightarrowtail \dfrac{1}{2}BH[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(2.4)(1.8)[/tex]
[tex]\\ \rm\rightarrowtail 1.2(1.8)[/tex]
[tex]\\ \rm\rightarrowtail 2.16cm^2[/tex]
How would we add -3 + (-9) on the number line?
Answer:
-12
Step-by-step explanation:
1. Create an Equation
-3-9
2. Solve
-3-9 <=== subtract -3 and -9 together to get your answer
-12
3. Check
-12+3 <=== create this equation or this one ===> -12+9 to check if we calculated correctly
-12+3= -9 -12+9= -3
this shows the answer is corrrect
find the missing side.
1) 2304
2) 3600
3) 1296
4) 36
Answer:
heya! ^^
here , we've been given a right angled triangle along with the measure of two of its sides.
and , we've to find the measure of its third side.
so , we'll be using Pythagoras Theorem to find the measure of the third side.
but first , let's take a look at what Pythagoras Theorem is-
Pythagoras theorem states that the square of the hypotenuse of the triangle is equal to the sum of squares of the remaining two sides.
according to the figure ,
side AB = hypotenuse = 60 cm
side AC = perpendicular = 48 cm
side BC = base = a
now by using Pythagoras Theorem ,
[tex]H {}^{2} = P {}^{2} + B {}^{2} \\ \\ (60) {}^{2} = (48) {}^{2} + a {}^{2} \\ \\ 3600 = 2304 + a {}^{2} \\ \\ a {}^{2} = 1296 \\ \\ a = \sqrt{1296} \\ \\ a = 36[/tex]
therefore ,
option ( 4 ) 36 is correct.
hope helpful :D
Answer:
36. (Option 4)[tex] \\ [/tex]
Step-by-step explanation:
Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.
We'll find the measure of third side with the help of the Pythagorean theorem,
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (Base) {}^{2} + (Perpendicular {)}^{2} = (Hypotenuse {)}^{2} }}} \\ \\[/tex]
Here,
The base (BC) is aThe perpendicular (AC) is 48The hypotenuse (AB) is 60.[tex] \\ [/tex]
So, substituting the values in the formula we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} + (48 {)}^{2} = ( 60{)}^{2} }}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} = ( 60{)}^{2} - (48 {)}^{2}}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} =3600 - 2304}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} =1296}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad a = \sqrt{1296}}}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\frak {\qquad a = 36 }}} \\ \\[/tex]
Therefore,
The measure of the third side (a) is 36.64.89% of 407.68cm
Give your answer rounded to 2dp
Answer: 264.54cm
Step-by-step explanation:
407.68x0.6489=264.543552264.543552 rounded to 2 decimal points is 264.54Can someone give me the answer quickly
Answer:
I think the answer is 42%
I don't really know for sure though
Im so desperate
ms. davis sold $309.00 of books. at the end of the day, she earned $27.81 in commission for those sales. what is ms. davis' commission rate?
question 8 options:
11%
9%
3.4%
2.81%
so Ms. Davis gets hmmm say "x" percent from sales as her commission, and we know she did in sales $309 and made $27.81.
if we take 309 to be the 100%, and x% of that is 27.81, what's "x"?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 309 & 100\\ 27.81& x \end{array} \implies \cfrac{309}{27.81}=\cfrac{100}{x} \\\\\\ 309x=2781\implies x=\cfrac{2781}{309}\implies x=9[/tex]
21 - 25 . Alex is trying to balance his time in academics, chores and other activities. In order to do this, he decided to
1/3 divide his time according to the tasks he needs to do in a day. If Alex will spend of his day on sleeping, 1/12 1/8 1/4 * on studyingon household chores and for other activities like eating and taking a bath, how much time does he have left for leisure activities?
math pls help i’ve been stuck on this for the longest
Basically it's almost everything but choice A
==================================================
Explanation:
When intersecting two lines to form an X shape, the vertical angles are the ones that form opposite one another. They do not have to align vertically, meaning they don't have to be stacked on top of one another. They could be side by side.
This applies to the following angle pairs
1 and 32 and 45 and 76 and 89 and 1110 and 1213 and 1514 and 16The items in bold apply to choices B through D
Side note: Vertical angles are always congruent.
Answer:
2nd, 3rd and 4th options
Step-by-step explanation:
when two lines intersect to make an X , angles on opposite sides of the X are called vertical angles. These angles are congruent.
from the listed angles the following are vertical angles.
∠ 5 and ∠ 7
∠ 3 and ∠ 1
∠ 4 and ∠ 2
Other vertical angles in the diagrm include
∠ 6 and ∠ 8
∠ 9 and ∠ 11
∠ 10 and ∠ 12
∠ 13 and ∠ 15
∠ 14 and ∠ 16
Past experience shows that Mr.Reisman will have 3 left-handed students in ever class of 25 math students. If Mr.Reisman teaches 125 students in one day, what is the most likely total number of left-handed students in his classes?
Answer:
15 students
Step-by-step explanation:
125/25=5
5x3=15
i do not know this answer
Answer: awnser is m= 1/6
Step-by-step explanation: m = add the terms which is -1 -5m-4+6 m= 1-5m
step 2 then rerange the terms to m= 1-5m to m = 5m + 1
step 3 add 5m to both sides m= -5m+1 to m + 5m= -5m + 1 + 5m
step 4 simplify and combine like terms 6m= 1
step 5 divide both sides by the same factor 6m= 1 6m/6 = 1/6
step 6 simplify Cancel terms that are in both the numerator and denominator so it is m= 1/6 is the correct awnser mark me brainliest please
Graph 1 on the numberline?
Answer:
directly before 5/4
Step-by-step explanation:
graph a straight vertical line directly before 5/4
or maybe it's just asking for where the value 1 should is and it's the same.
Answer:
It is the line to the left of 5/4
Step-by-step explanation:
it goes 5/4 then 4/4 or 1 then 3/4, 2/4, 1/4 then 0
Element x decays radioactively with a half life of 12 minutes. if there are 580 grams
of element x, how long, to the nearest tenth of a minute, would it take the element to
decay to 68 grams?
Answer:
37.1
Step-by-step explanation:
37.1
This is a 30-60-90 triangle.
What is the measure of x?
Rationalize the denominator.
[?]
х
X=
7
Answer:
x = [tex]\frac{2\sqrt{21}}{3}[/tex]
Step-by-step explanation:
For a 30-60-90 triangle:
Short leg = sLong leg = s√3Hypotenuse = 2sThus:
Short leg = √7/√3 = (√21)/3Long leg = √7Hypotenuse = x = 2(√21)/3Answer:
2 21 3
Step-by-step explanation:
pleaseeeeeeeee help me out here
Answer:
Step-by-step explanation:
-2 1/2 = -2.5( i between -2 and -3
-3/4 One mark short to 1
or 3 marks from zero
Answer:
The -2 1/2 would goin the middle of the -3 and -2. 3/4 would go on the 3rd line between 0 and 1. Hope this helped
Step-by-step explanation:
In parallelogram crhs, the measure of angle c is 48.Find the measure of angle h?
Answer:
48°
Step-by-step explanation:
we know that opposite angle of parallelogram is equal
so,
angel C is equal to opposite angle H
H = 48
angle C = 48°
angle R = 132°
angle H = 48° (opposite of angle C)
angle S = 132°(opposite of angle R)
Mark me Brainiest please
Pls help !!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D. Rhombus.
Step-by-step explanation:
This will be a quadrilateral with 4 equal sides.
The oppsoite angles will be equal but they will not be 90 degrees as each triangle of the 3 dimensional figure is an equilateral triangle.
Therfore the cross section is a rhombus.
HELLLPP MEEE
An experiment consists of rolling a die and then flipping a coin.
The following tree diagram shows the possible outcomes.
A tree diagram in which a center point branches to numbers 1 through 6, which each branch to an H & T.
What is the probability of rolling an even number or flipping a tail?
Enter your answer as a reduced fraction, like this: 3/14
Using it's concept, it is found that the probability of rolling an even number or flipping a tail is of [tex]\frac{3}{4}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 12 outcomes. Of those, 3 result in an even number and a tail, 3 more in an even number but not tail and 3 in a tail but an odd number, hence there are 9 desired outcomes.
Hence, the probability is given by:
[tex]p = \frac{9}{12} = \frac{3}{4}[/tex]
More can be learned about probabilities at https://brainly.com/question/14398287
Please help will give brainliest
Which of the following are tangent to circle A? Select all that apply
see picture
Answer:
RS RT ST
Step-by-step explanation:
This is due to the facts that tangency means having contact at a single point or along a line without crossing. so the first 3 options are correct