Answer:
The properties of right angle triangle are as follows
the hypotenuse is the longest sideone angle is 90 degree then other angle will be also 90 degree.Look at this rectangular prism:
Answer:
3 : 1
Step-by-step explanation:
volume = length * width * height
The volume of the solid as it is shown is:
volume = 10 m * 6 m * 10 m = 600 m^3
old volume = 600 m^3
Now we triple the length.
The length becomes 3 * 10 m = 30 m
The new volume is:
volume = length * width * height
volume = 30 m * 6 m * 10 m = 1800 m^3
new volume = 1800 m^3
ratio of new volume to old volume = 1800 m^3 : 600 m^3
Divide both sides of the ratio by 600 m^3.
Ratio = 3 : 1
Answer: 3 : 1
[tex]-6\left(1-m\right)=9-2m[/tex]
Answer:
[tex]m=\frac{15}{8}[/tex]
Step-by-step explanation:
[tex]-6\left(1-m\right)=9-2m[/tex]
[tex]-6(1-m)=-6+6m[/tex]
[tex]-6+6m=9-2m[/tex]
Add 6 to both sides:-
[tex]-6+6m+6=9-2m+6[/tex]
[tex]6m=-2m+15[/tex]
Now, add 2m to both sides:-
[tex]6m+2m=-2m+15+2m[/tex]
Divide both sides by 8:-
[tex]\frac{8m}{8}=\frac{15}{8}[/tex]
[tex]m=\frac{15}{8}[/tex]
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OAmalOHopeO
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Answer:
your answer is m=15/8
how do i rename 2/7 and 10/21 and whats the most common denominator for them
The most common denominator for them is the LCM which is 21
Now
2/7 = 2/7×3/3
= 6/21
Therefore 6/21 and 10/21
Must click thanks and mark brainliest
ASAP I NEED HELP WITH THIS!!!
Find the area the sector.
A.1083pi/4in
B.38pi in
C. 57/4pi
D.1083/8pi in
Answer:
D
Step-by-step explanation:
Sector of Area=(theta/360)*pi*r^2
Sector of area=(135/360)*pi*19^2=(1083)/8 pi
Plz helpppppp I need help fast !!!!!!!!!!
Answer:that s math
Step-by-step explanation:
Answer:
the choices for answers are technically incorrect...
the "correct" answer is [tex]m^6n^4[/tex]
the answer that matches that (which is not simplified) is:
"A": [tex]\frac{m^{7} n^{3} n}{m}[/tex]
Step-by-step explanation:
The angle made by the ladder with the ground is degrees, and the length of the ladder is inches.
Answer:
59.04°
58.31 inches
Step-by-step explanation:
The solution triangle is attached below :
Since we have a right angled triangle, we can apply trigonometry to obtain the angle ladder makes with the ground;
Let the angle = θ
Tanθ = opposite / Adjacent
Tanθ = 50/30
θ = tan^-1(50/30)
θ = 59.036°
θ = 59.04°
The length of ladder can be obtained using Pythagoras :
Length of ladder is the hypotenus :
Hence,
Hypotenus = √(adjacent² + opposite²)
Hypotenus = √(50² + 30²)
Hypotenus = √(2500 + 900)
Hypotenus = 58.309
Length of ladder = 58.31 inches
Answer:
59°
58.3 inches
Step-by-step explanation:
Here is the full question :
A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground. The angle made by the ladder with the ground is degrees, and the length of the ladder is inches.
Please check the attached image for a diagram explaining this question
The angle the ladder makes with the ground is labelled x in the diagram
To find the value of x given the opposite and adjacent lengths, use tan
tan⁻¹ (opposite / adjacent)
tan⁻¹ (50 / 30)
tan⁻¹ 1.667
= 59°
the length of the ladder can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
√(50² + 30²)
√(2500 + 900)
√3400
= 58.3 inches
what must be added to a + b to get a
Answer:
we have to add (-b) to get (a)
Step-by-step explanation:
a+b+(-b)=a
a+b-b=a
a=a
Hence verified.
Hope this helps you. Have a nice day^_^
Which systems of inequality's does this graph represent
Answer:
The second one....
Less than "3" and Greater than "2"
Step-by-step explanation:
20 (a) What is the largest multiple of both 4 and 5 that is less than 50?
Answer:
40
Step-by-step explanation:
How do i draw this for this problem?
Well, an angle bisector is a ray that "bisects" or cuts an angle in half, so, 64/2 = 32. Based off of my understanding of this picture, I would say that you have to drag the dot from point D to about halfway between each side, or, if it gives you the measurement while your moving it, move it to 32° on each side. If that doesn't work, I would try watching the help video :)
Find the measure of x
Answer:
B
Step-by-step explanation:
The angle in a semicircle is 90° , then
x = 180° - (90 + 47) = 180° - 137° = 43° → B
Answer:
B. 43
Step-by-step explanation:
ignore the other triangle with the y angle. it is just there to confuse us.
the main information is given already by the main triangle with the angles x and 47 degrees.
because it's baseline is the diameter of a circle, and its top point is also on the circumference of the same circle.
all triangles that can be inscribed into a circle that way are by definition right-angled triangles.
so, the angle at the top point is actually 90 degrees.
and as we know, the sum of all angles in a triangle is always 180 degrees, we can simply calculate :
180 = 90 + 47 + x = 137 + x
x = 43 degrees
that's it.
Alex makes $20 per hour in her job as a kiental assistant. She works 8 hours per day
and 40 hours per week. How much does Alex make in a day before taxes?
Answer:
160
Step-by-step explanation:
20 dollars per hour * 8 hours per day
160 dollars per day
Answer:
Alex makes $ 160 per day
Step-by-step explanation:
If she earns $20 per hour and works for 8 hours
8 × 20 = 160
Pls help me this is due tomorrow
Step-by-step explanation:
Claim: There's 14 Goats and 9 Chickens!!
Data:
Working with the Provided Information.
Let the Number of goats be x
let the Number of Chickens be y
x + y = 23..... (i)
Since the goat Possesses Two Pair of Legs... Which is a Total of 4 Legs... We say Let its Contribution be 4x.
The Chicken has Only a Pair Of Legs...Which is a total of 2 legs.... We say let its contribution be 2y
4x + 2y = 74 .....(ii)
BRINGING BOTH EQUATIONS TOGETHER.
x + y = 23
4x + 2y = 74
From Eqn i
x= 23 - y
Substitute into eqn ii
4(23 - y ) + 2y = 74
92 - 4y + 2y = 74
92 - 2y = 74
2y = 92 - 74
2y = 18
y= 9.
Substitute y into any of the eqns to get x
x + y = 23
x + 9=23
x = 23 - 9
x = 14
This simply proves that there are 14 Goats and 9 Chickens!!!.
HAVE A GREAT DAY!
If sec^2 teta (1+sin teta) (1-sin teta) = k, find k
Pls help no spamming
[tex]\boxed{\sf 1-sin^2\theta=cos^2theta}[/tex]
[tex]\boxed{\sf cos^2\theta=\dfrac{1}{sec^2\theta}}[/tex]
Solution:-
Let's do
[tex]\\ \sf\longmapsto k=sec^2\theta(1+sin\theta)(1-sin\theta)[/tex]
[tex]\\ \sf\longmapsto k=sec^2\theta(1-sin^2\theta)[/tex]
[tex]\\ \sf\longmapsto k= sec^2\theta(cos^2\theta)[/tex]
[tex]\\ \sf\longmapsto k=sec^2\theta\times \dfrac{1}{sec^2\theta}[/tex]
[tex]\\ \sf\longmapsto k=1[/tex]
[tex]\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]
[tex] \sec^{2} θ(1 + \sinθ)(1 - \sinθ) = k[/tex]
[tex] \sec^{2} θ \: (1 - { \sin}^{2} θ) = k[/tex]
[tex] { \sec }^{2} θ \cos^{2} θ = k[/tex]
[tex] \sec ^{2} θ. \frac{1}{ {sec}^{2}θ } = k[/tex]
[tex]1 = k[/tex]
Therefore:
[tex] \color{red}k = 1[/tex]
E
Homework: 1-7 HW
Simplify the expression.
8(5+t) - 2(t+1)
8(5 + t) - 2(t+1)=
Hi, I'm happy to help!
To simplify this expression, we need to first use the order of operations (Parenthesis, Exponents, Multiplication or Division (Left to Right), and Addition or Subtraction (Left to Right)), then combine like terms. (80,40,57, or 6t, 8t, 98t, or 2t²,7t²,83t²)
When a number is next to parenthesis with no sign, it means we are using multiplication. We can change this expression to look like this, by changing all the numbers next to the parenthesis with no sign, to one with a multiplication sign.
8(5+t) - 2(t+1) 8(5 + t) - 2(t+1)=
8×(5+t) - 2×(t+1)× 8×(5 + t) - 2×(t+1)=
We start with parenthesis and solve everything inside of those, but, because everything inside the parenthesis are unlike terms, we cannot combine them.
Next, We look for any exponents (x²). There are none in this equation.
We then look for multiplication or division. There is a lot of multiplication, so we start solving that from left to right.
8×(5+t) - 2×(t+1)× 8×(5 + t) - 2×(t+1)=
40+8t - 2×(t+1)× 8×(5 + t) - 2×(t+1)=
40+8t - 2×(t+1)× 8×(5 + t) - 2×(t+1)=
(40+8t) - (2t+2)× 8×(5 + t) - 2×(t+1)=
(40+8t) - (2t+2)× 8×(5 + t) - 2×(t+1)=
(40+8t) - (16t+16)×(5 + t) - 2×(t+1)=
(40+8t) - (16t+16)×(5 + t) - 2×(t+1)=
(40+8t) - (80t+16t²+80+16t) - 2×(t+1)=
(40+8t) - (80t+16t²+80+16t) - 2×(t+1)=
(40+8t) - (80t+16t²+80+16t) - (2t+2)=
(40+8t) - (80t+16t²+80+16t) - (2t+2)=
Now, before we do anything else, we need to recheck the parenthesis, now that they have changed. We can further simplify the middle parenthesis by adding together like terms.
(40+8t) - (80t+16t²+80+16t) - (2t+2)=
(40+8t) - ((80t+16t)+16t²+80) - (2t+2)=
(40+8t) - (96t+16t²+80) - (2t+2)=
(40+8t) - (96t+16t²+80) - (2t+2)=
Now, we look for addition or subtraction of like terms. We can now remove the parenthesis, since everything inside of the last two parenthesis is negative, we turn it negative, as long as we only combine the like terms.
40+8t - 96t-16t²-80 - 2t-2=
Once we find like terms, we can rearrange the expression.
(40-80-2)+8t - 96t+16t² - 2t
(-42)+8t - 96t-16t² - 2t
(-42)+8t - 96t-16t² - 2t
(-42)+(8t-96t-2t)-16t²
(-42)+(-90t)-16t²
(-42)+(-90t)-16t²
This doesn't have any like terms, so we don't alter it.
(122)+(-90t)-16t²
We can now remove the parenthesis.
122-90t-16t²
Since there are no more like terms this is the furthest we can simplify. We can then rearrange the expression to be arranged completely correct.
-16t²-90t-42
I hope this was helpful, keep learning! :D
Determine the value of x!
Answer:
x = 17.51
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 35 = x/25
25 tan 35 =x
x=17.50518
*HELP*
calculate the pay for the following day of a weekly time card given a wage of $12 an hour
Answer:
96 dollars and 50 cents
Step-by-step explanation:
Question 4 Choice Worth 4 point
On a coordinate grid both point (1, 2) and point (-3, -3) are reflected across the y-axis. What are the coordinates of the reflected points
Point Q is located at (-4, 6). Point R is located at (8, 6).
What is the distance from point Q to point R?
Step-by-step explanation:
Hi there!
Given;
Point Q is located at (-4, 6). Point R is located at (8, 6).
Note: Use distance formula.
Now;
[tex](d) = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]
Keep all values;
[tex](d) = \sqrt{ {(8 + 4)}^{2} + ( {6 - 6)}^{2} } [/tex]
Simplify;
[tex](d) = \sqrt{( {12)}^{2} } [/tex]
Therefore, the distance is 12 units.
Hope it helps!
A garrison of 120 people had provisions for 30 days. If 20 people leave the garrison after 10 days, how long does the remaining provisions last?
Answer:
24 days
total units = 120* 30 = 3600
used after 10 days = 120*10 = 1200
remaining units after 10 days = 3600-1200 = 2400
2400/100 people = 24 days that the provisions will last
Step-by-step explanation:
Victor and Kelsey have identical sandwiches. Victor eats \frac{2}{5} of his sandwich. If Kelsey eats \frac{15}{8} as much as Victor does, what fraction of her sandwich did she eat?
Answer:10/5
Step-by-step explanation:
Nicholas wants to order a pizza. He has a total of $13 to pay the delivery person. This pizza cost $7.50 Plus $1.25 per topic. If he plans to tip 15% of the total cost of the pizza, how many toppings can he order
Answer:
Nicholas can order up to 3 toppings.
Step-by-step explanation:
Solve for the tip:
15% of the total cost = 15% × $7.50
Convert percentage into a decimal:
0.15 × 7.50 = 1.125
Variable x = number of toppings
Set up an equation:
7.50 + 1.125 + 1.25x = 13
Combine like terms:
8.625 + 1.25x = 13
1.25x = 4.375
x = 3.5
Since it is impossible to order "half" of a topping (0.5), Nicholas can only order up to 3 toppings.
Which of the following is true of the angle shown? Question 10 options:
A) The angle is not in standard position.
B) The terminal side of the angle lies in quadrant II.
C) The measure of the angle is greater than 360°.
D) The angle can be measured in radians only.
Answer:
The measure of the angle is greater than 360°.
what is the range of the function y = 2x - 3 if the domain is 1
Answer:
1.5
Step-by-step explanation:
y=2x - 3
0 = 2x - 3
-2x = - 3 /÷(-2)
x = 3 ÷ 2
x = 1.5 3/2
If the government is spending 2% of $4.3 trillion on science and international affairs, how much will it spend?
We have to find 2℅of the amount
[tex]\\ \sf\longmapsto 4.3\times \dfrac{2}{100}[/tex]
[tex]\\ \sf\longmapsto \dfrac{8.6}{100}[/tex]
[tex]\\ \sf\longmapsto 0.086[/tex]
It will spend $0.086Trillion
plz help me ans fast for 10 pts
Answer:
universal set is the right answer
Help with this please!!
Answer:
All positive Real numbers
is the following example true or false? if false give a counterexample. The sum of two rational numbers is always rational the sum of two irrational numbers is always irrational
Answer:
Both are TRUE.
Step-by-step explanation:
The sum of 2 rational numbers is always rational.
The sum of 2 irrational numbers is always irrational.
The sum of two rational numbers is always rational the sum of two irrational numbers is always irrational.
What are rational and irrational numbers?
Rational number are real numbers that can be expressed as a ratio of two integers.
Irrational number are real numbers that cannot be expressed as a ratio of two integers.
Now, to prove that,
The sum of two rational numbers is always rational.
Let us take an example,
Suppose two rational numbers sqrt(16) and sqrt(36),
So, there sum is given as,
sqrt(16) + sqrt(36) = 4 + 6
sqrt(16) + sqrt(36) = 9
which is rational.
Hence, the sum of two rational numbers is always rational.
The sum of two irrational numbers is always irrational
Let us take an example,
Suppose two irrational numbers sqrt(7) and pi,
So, there sum is given as,
sqrt(7) + pi = 5.7857...
This cannot be reduced to any kind of fraction
So, we will get an irrational number.
Thus, the sum of two irrational numbers is always irrational.
Hence, the sum of two rational numbers is always rational the sum of two irrational numbers is always irrational.
To learn more about rational and irrational numbers :
https://brainly.com/question/15267867
#SPJ2
A graph shows minutes on the horizontal axis from 0 to 10 and miles from start on the vertical axis from 0 to 1.5. The blue line labeled Andy begins at 0 miles in 0 minutes and ends at 1.25 miles at 10 minutes. The red line labeled Berta begins at 0.5 in 0 minutes and ends at 1.12 miles in 10 minutes. The green line labeled Caedin begins at 1.5 miles in 0 minutes, to 0 miles in 6 minutes, and ends at 1 mile in 10 minutes. [NOTE: character count is 425; possible visual bias in graph]
Three runners run along a 1.5 mile trail one Saturday morning. The graph shows the runners’ locations starting at 9:00 a.m.
Answer:
Who is at the trail start at 9:00 a.m.? : Andy
Who runs fastest? : Caedin
When do Andy and Berta cross paths? : 9:08 am
Who is closest to the 1.5 mile mark after 6 minutes? : Berta
Step-by-step explanation:
assignment
Which of the following BEST describes how to use the addition property of equality to isolate the variable
m below?
-6 = -3+ m
A. add 3 to both sides of the equation
B. subtract 3 from both sides of the equation
C. add 6 to both sides of the equation
D. subtract 6 from both sides of the equation
Answer:B
Step-by-step explanation:
From calculating the equations below, we find that all sections have m equal to negative three.
According to the second option, it is most likely because six is added.
