Answer:
a=7
Step-by-step explanation:
The image is rendered and attached below.
Triangle WXY is an Isosceles right triangle, since WX=XY.
First, we determine the length of WY using Pythagoras Theorem.
[tex]WY=\sqrt{4^2+4^2}\\WY=\sqrt{32}[/tex]
Since triangle WXY is Isosceles, [tex]\angle XYW=45^\circ[/tex]
[tex]\angle XYZ=\angle XYW+\angle WYZ\\135^\circ=45^\circ+\angle WYZ\\\angle WYZ=135^\circ-45^\circ=90^\circ[/tex]
Therefore:
Triangle WYZ is a right triangle with WZ as the hypothenuse.
Applying Pythagoras Theorem
[tex]WZ^2=WY^2+YZ^2\\9^2=(\sqrt{32})^2+a^2\\a^2=81-32\\a^2=49\\a^2=7^2\\$Therefore: a=7[/tex]
The value of a in the triangle illustrated is 7.
How to calculate the triangle?From the information, the length of WY will be:
WY = ✓4² + ✓4²
WY = ✓32
Therefore, angle WYZ will be:
= 135° - 45°
= 90°
Therefore, the value of a will be calculated thus:
a² = 9² - (✓32)²
a² = 81- 32
a = ✓49
a = 7
In conclusion, the value of a is 7.
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solve 0.06*0.7+0.03=0.06*(-0.2)+0.03
Evaluate: 6+ 4/4 + 3/3
Answer:
8
Step-by-step explanation:
4/4=1
3/3=1
1+1+6=8
The expression on the left side of an equation is shown below. Negative 4 (x minus 2) + 5 x = box If the equation has no solution, which expression can be written in the box on the other side of the equation? 2(x + 4) – x x + 8 4(x + 2) – 5x x
Answer:
the correct answer is d
Step-by-step explanation:
the answer is d because most of the time when you take an eqation like -4(x-2)+5x and you flip some of the signs it changes the outcome
so x changes the eqation then when you siplify both sides you get
x+8
and
x
so x+8=x that has no solution to the eqation
all of the others come out to x+8 and the will all create infininte solutions other than d
The expression can be written on the other side of the equation is x+8.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is -4(x-2)+5x.
Here, the expression can be simplified as
-4(x-2)+5x
= -4x+8+5x
= x+8
Hence, the expression can be written on the other side of the equation is x+8.
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Which expression below gives the average rate of change of the function g(x) = -x^2 - 4x on the interval 6 ≤ x ≤ 8 ?
Answer:
1st Option
Step-by-step explanation:
Average rate of change formula: [tex]\frac{f(a) - f(b)}{a-b}[/tex]
Simply plug in 8 as a and 6 as b.
Answer:
A.
Step-by-step explanation:
Δy /Δx = (y2 - y1)/(x2 - x1) = [g(x2) - g(x1)]/(x2 - x1)
[g(x2) - g(x1)]/(x2 - x1) =[g(8) - g(6)]/(8 - 6) =[tex]\frac{[-8^{2}-4(8)]-[-6^{2}-4(6)]}{8-6}[/tex]
Which of the following decimals is equivalent to the common fraction four-fifth? a. 0.80 b. 0.75 c. 0.65 d. 0.45 Other:
Answer:
The answer is option a
0.8
4/5 = 0.8
Hope this helps.
Please answer this equation ❤️
Answer:
h(2) = 0
Step-by-step explanation:
Simply plug in 2 in for x in h(x)!
h(2) = -(2) + 2
h(2) = -2 + 2
h(2) = 0
And we have our final answer!
Answer:
H(2) = 0
Step-by-step explanation:
All you need to do is replace x with 2 in the function and solve:
H(2)= -2 + 2
H(2)= 0
In the problem RSM × RS × R=2030 each letter stands for a different digit. Find the 3-digit number RSM. Please answer soon!
Answer:
145
Step-by-step explanation:
Answer: R S M = 145
It seems that someone already gave the correct answer for this, but I'll add an explanation in case you're curious!
1. So, we can write it out as:
R S M
R S (make sure you don't simplify it
x R as R^3*S^2*M, as each letter here
---------- stands for an individual digit in a number)
2030
2. The only possible value of R is 1, because any other value would be too big. (For example, 213*21*2=8946), for the sake of simplicity so let's write it as:
R S M
x R S
----------
2030
3. Notice how the last digit in 2030 is 0? That means either M or S =5.
5*2 has a last digit of 0, so let's try that out. Let's sub it in to get 125*12=1500. That's too small, so let's try again.
5*4 also has a last digit of 0. Let's plug that in: 145*14=2030. Yay!
4. In conclusion, RSM*RS*R --- > 145*14*1=2030, so RSM = 145
Hope this helped you :)
7. Express as a fraction in simplest form: 4 to 36
Answer:
4/36=2/18=1/9=1/9=1/9=1/9=1/9=1/9
Answer:
1/9
Step-by-step explanation:
4:36 as a ratio can be written in the form of a fraction.
4/36
Simplify the fraction using the highest common factor.
4÷4/36÷4
1(4)/9(4)
The 4's cancel.
1/9
(05.06) coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3 The coordinate grid shows points A through K. Which points are solutions to the system of inequalities listed below? (2 points) 2x + y 8
Answer: I'm not sure if this is right but I believe its point E, F, G, J
Step-by-step explanation:
Don't use this without getting confirmation I don't want to trip anyone up!
Answer: EFG is correct
Step-by-step explanation:
I did the quiz
Use the given diagram to help answer the question. 2 right triangles share a side. Each triangle has a side length of 3 feet and hypotenuse of 5 feet. Sam found a tent in his garage, and he needs to find the center height. The sides are both 5 feet long, and the bottom is 6 feet wide. What is the center height of Sam’s tent, to the nearest tenth? 3 feet 4 feet 5.5 feet 7.8 feet
Answer:
4 feet
Step-by-step explanation:
Use pythagorean theorem to solve the center height of Sam’s tent.
The center height of the triangle or Sam's tent is given by AB = 4 feet
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the base of the triangle is BC = 3 feet
The hypotenuse of the triangle is AC = 5 feet
And , the triangles share a common height
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
So , the height of the triangle AB = √ ( AC )² - ( BC )²
On simplifying , we get
The height of the triangle AB = √ ( 25 ) - ( 9 )
The height of the triangle AB = √16
The height of the triangle AB = 4 feet
Hence , the height of the triangle is 4 feet
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Which of the following values are in the domain of the function graphed below?check all that apply
Answer:
a,c, from l to be a great idea to be at the house by the way the time to do it on a hard time that I can help with the rest of the cause you found it on my phone and it do not have a circunr on my computer and
Step-by-step explanation:
yourwelcome
Answer: 7,0,2,3
Step-by-step explanation: nodadnotoday on Spotify
The table represents an exponential function. What is the multiplicative rate of change of the function?
1/3
2/3
2
9
The multiplicative rate of change of the function is 2.
What is the rate of change?The pace at which one quantity changes in relation to another quantity is known as the rate of change function. The rate of change will be calculated by the ratio of the change of the dependent variable to the change of the independent variable.
Given that the values of the variables x and y are,
x y
1 6
2 4
The rate of change will be calculated as,
Rate of change = ( y₂ - y₁ ) / ( x₂ - x₁ )
Rate of change = (4 - 6 ) / ( 2 - 1 )
Rate of change = -2
The multiplicative rate of change will be 2.
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Jane matthew and sara each have 3 cards.The numbers on each child's card add upto 100. What numbers could they have, if each numbers is in tens?Each child has a different set of cards
Answer:
each child has a diffrent set
Step-by-step explanation:
NEED HELP PLEASEEEEEEE
Please help!!!!! IMAGE ATTACHED
Answer:
1. y2-y1/x2-x2
2.y=mx+b
3.Ax+By=C
Step-by-step explanation:
Please help I don't understand
Answer:
C
Step-by-step explanation:
i just took the test
Find the solution set for this equation.
-m2 - 5m=0
Separate the two values with a comma.
Enter the correct answer.
Answer:
m = -5, 0
Step-by-step explanation:
Easiest and quickest way to do this is to graph the equation and find where it intersects the x-axis. If not, then use completing the square or quadratic formula to find your roots.
i will mark brainliest!!!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
Macy didnt correctly find the equivalent fraction with the denominator of 30
4/5 is 24/30 not 18/30.
this is because 4×6 is 24 which is the numerator and 5×6 is 30 which is the denominator
Answer:
Macy did not correctly find the equivalent fraction with the denominator of 30.
Step-by-step explanation:
What Macy should have written:
[tex]\frac{4}{5} ?\frac{18}{30} =\\\\\frac{24}{30} >\frac{18}{30}[/tex]
What Macy wrote:
[tex]\frac{4}{5} ?\frac{18}{30} =\\\\\frac{18}{30} <\frac{19}{30}[/tex]
[tex]\frac{4*6}{5*6}[/tex] does not equal [tex]\frac{18}{30}[/tex]
If triangle DEF has a 90° angle at vertex E, which statements are true? Select two options.
Triangle DEF is an obtuse triangle.
The angle at vertex D is acute.
The angle at vertex F is obtuse.
Triangle DEF is a right triangle,
The angle at vertex D is obtuse.
Answer:
The angle at vertex D is acute
Triangle DEF is a right triangle
Step-by-step explanation:
Acute means that the angle is smaller that 90degrees
Correct statement are,
The angle at vertex D is acute.
And, Triangle DEF is a right triangle,
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
We have to given that;
Triangle DEF has a 90° angle at vertex E.
Since, In triangle DEF,
vertex E has 90 degree.
So, Possible value of angle E and F are less than 90 degree
Hence, The angle at vertex D is acute.
And, Triangle DEF is a right triangle,
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Question 3
Which of the following is an example of Commutative Property of Addition?
A:3 + 4 = 8 + 3
B:6 x 1 = 6
C:(9 + 7) + 5 = 9 + (7 + 5)
D:2 + 9 = 9 + 2
E:None of these answers are correct.
Answer:
C
Step-by-step explanation:
Its the only one that is different from the other choices
1. A right triangle has legs that measure 5 meters and 12 meters. What is the length
of the hypotenuse?
A. 7 meters
B. 10.9 meters
C. 13 meters
D. 17 meters
What answer should I pick
Answer: C. 13 meters
Step-by-step explanation:
5^2+12^2=x^2
25+144=x^2
169=x^2
√169=13
13=x
Hope it helps
Answer:
C. 13 meters
Step by step:
5^2+12^2=x^2
25+144=x^2
169=x^2
√169=13
13=x
Make L the subject of the formula T=2π√L\G
Answer:
[tex]L=(\frac{TG}{2\pi })^2[/tex]
Step-by-step explanation:
[tex]T=2\pi \sqrt{L}/G[/tex]
[tex]TG=2\pi \sqrt{L}[/tex]
[tex]\frac{TG}{2\pi } =\sqrt{L}[/tex]
[tex](\frac{TG}{2\pi })^2 =L[/tex]
Answer:
[tex]l = {( \frac{tg}{2\pi}) }^{2} [/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!
Mark dropped an object from a bridge 400 feet above the ground level with an initial velocity of 0. He knows that the gravitational pull of the earth is about 16 feet per second squared. wants to find how many seconds,t, it will take the object to hit the ground. Match each expression with the correct equation that models this situation or solution.
Answer:
The first listed equation is the correct equation to solve
The correct answer is: t = 5 seconds
Step-by-step explanation:
Let me mention first that there is an error in the statement that the gravitational pull of the Earth is 16 ft/s^2. It is in fact 32 ft/s^2, and the actual equation uses half of the acceleration multiplied by the square of the variable time, so it gives as final expression :
[tex]y(t)=-16\,t^2+ 0 \,t +400[/tex]
and we want to find the value/s for "t" that make this equation equal zero (when it reaches the ground and the object just touches the ground. This makes the equation we want to solve:
[tex]0=-16\,t^2+ 0 \,t +400\\16\,t^2+0\,t -400=0[/tex]
which solving for "t" becomes:
[tex]16\,t^2-400 =0\\16\,t^2=400\\t^2=\frac{400}{16} \\t^2=25\\t= +/- 5\,\,sec[/tex]
So we adopt the positive answer (positive time) since the negative value has no physical meaning for this problem.
That is: t = 5 seconds
correct equation: -16t^2 + 0t + 400 = 0
solution: 5 seconds
i just did the workbook and got it correct!
Can somebody help me with this please ?? :)
yes they are congruent budy because they have given AC is equal to AD,, BC is equal to ED and angle BAC is equal to angle EAD.
For congruence of triangle ABC and triangle ADE we just need three parts that we got and therefore they are congruent..
don't forget to follow
Which expression is equivalent to the expression 4(6+y)+7?
0 24+ 4y
O 31+ 4y
o 31+By
O 24+ 7y
Answer:
31 + 4y
Step-by-step explanation:
4(6+y)+7
Expand the brackets.
24+4y+7
Rearrange.
4y + 24 + 7
Add the like terms.
4y + 31
Answer:
its B
Step-by-step explanation:
In circle P, diameter QS measures 20 centimeters. Circle P is shown. Line segment Q S is a diameter. Line segment R P is a radius. Angle R P S is 123 degrees. What is the approximate length of arc QR? Round to the nearest tenth of a centimeter. 9.9 centimeters 19.9 centimeters 21.5 centimeters 43.0 centimeters
Answer:
Length of arc QR is [tex]\approx[/tex] 9.9 cm
Step-by-step explanation:
Given that circle P, i.e. center is point P.
QS is diameter with length 20 cm.
Given that RP is the radius with
[tex]\angle RPS = 123^\circ[/tex]
To find length of arc QR = ?
Solution:
Arc QR subtends the [tex]\angle QPR[/tex] on center P.
So, we need to find the angle [tex]\angle QPR[/tex] to find the length of arc QR.
QS is the diameter so [tex]\angle QPS = 180^\circ[/tex]
[tex]\angle QPS = 180^\circ = \angle QPR +\angle RPS\\\Rightarrow 180^\circ = \angle QPR +123^\circ\\\Rightarrow \angle QPR = 57^\circ[/tex]
Converting in radians,
[tex]\angle QPR = 57^\circ \times \dfrac{\pi}{180} = 0.99\ radians[/tex]
Using the formula for length of arc:
[tex]l = \theta \times R[/tex]
Where [tex]\theta[/tex] is the angle subtended by the arc on center.
R is the radius of circle.
Here,
[tex]\theta = 0.99\ radians\\R = 10\ cm[/tex]
[tex]l = 0.99 \times 10\\l = 9.9\ cm[/tex]
Length of arc QR is [tex]\approx[/tex] 9.9 cm
Answer:
9.9 cm
Step-by-step explanation:
At the latest town meeting, only 2/15
of the adults turned out for a vote on a new
proposition. How many adults live in this town if 600 adults voted at the last
town meeting?
Answer:
300 time 15 = the answer
Answer:
4500
Step-by-step explanation:
The equations x minus 2 y = 1, 3 x minus y = negative 1, x + 2 y = negative 1, and 3 x + y = 1 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, negative 1) and (1, negative 1). Orange line goes through (negative 1, negative 1) and (0, 1). Pink line goes through (0, 1), and (2.5, negative 1). Blue line goes through (0, 1) and (negative 2.5, negative 1). Which system of equations has a solution of approximately (0.6, –0.8)? x + 2 y = negative 1 and 3 x + y = 1 x minus 2 y = 1 and 3 x + y = 1 x minus 2 y = 1 and 3 x minus y = negative 1 x + 2 y = negative 1 and 3 x minus y = negative 1
Answer: (a) x + 2y = -1 and 3x + y = 1
Step-by-step explanation:
I am not sure what the purpose was for the colored lines but I included them on the graph (below).
Answer:
The answer is A
Step-by-step explanation:
I took to the unit test on edge
Help!!!!!!……………………………………………
Answer:
Step-by-step explanation:
The answer is d)
y= 0.0018(x-105)^2 +7
3 kg of butter is packed into small packets of 75 gm each to be supplied to a restaurant.how many such packets can be made?if 10 such small packets are put into a box,how many such boxes can be made
Answer:
Step-by-step explanation:
We first need to determine how many grams are in 3 kg.
3 kg * [tex]\frac{1000g}{1kg}[/tex] = 3000 g
Now we know that there are 3000 g in 3 kg. If we divide 3000 g by 75, we will determine how many packets of butter there are.
3000 / 75 = 40.
40 packets of butter. If 10 go into a box, that means that
40 / 10 = 4 boxes.
Step-by-step explanation:
3kg = 3000g
1 packet = 3000/75 = 40 packets
Then
If 10 packets in a box so
40/10 = 4 boxes