Mathematics High School

The angles of triangle abc are in the ratio of 8:3:4. what is the maesure of the smallest angle

Answers

Answer 1
Each part of the ratio represents the fractional part of the total angle measurement of the triangle (180 degrees). Ex. Angle A is 8/15 of the sum of the angles, angle b is 3/15, etc. therefore, your answer would be 36 degrees.

Related Questions

helppppppppppppppppppppppppppppp

Answers

The answer is B. Use the trig identity (sin x)^2+(cos x)^2=1. Since cos x=0.3090, sinx=+-\sqrt(1^2-0.3090^2)=+-0.9511. Since 0<x<90, sin x must be positive, so sin x=0.9511. tan x=sin x/cos x=0.9511/0.3090=3.0780.

Simplify the expression 75/153 completely.

Answers

Find the GCD (or HCF) of numerator and denominator
GCD of 75 and 153 is 3
Divide both the numerator and denominator by the GCD
75 ÷ 3
153 ÷ 3
Reduced fraction:
25/51
So,its 25/51 hope this helps
to reduce 75/153 to lowest term divide both top and bottom by the number 3
75 / 3 = 25
----        ---
153 / 3  51 

if you want to check it then simply multiply both the numerator and denominator 25/51 by 3 to get 75/153 

The first team of workers received 50 kg of cement less than the second team. for every hour of work the first team was using 150 kg of cement, while the second team was using 200 kg. in three hours the first team had 1.5 times as much remaining cement as the second team. how much cement was delivered to each team of workers?

Answers

there are 2 unknown terms in this problem 
the amount of cement the first team received is termed as 'x' hereafter 
the cement the second team received is termed as 'y'
the first team received 50 kg less, the 1st equation is as follows;

x = y - 50    after rearranging 
1) x-y = -50
for every hour 150 kg and 200 kg were used by the two teams separately 
after three hours first team used up 150*3 = 450 kg
the second team used up 200 * 3 = 600 kg
however the first team had 1.5 times as much as second team had after three hours. 
After three hours;
the amount second team had leftover was y - 600
the amount first team had leftover was x - 450
 the amount the second team had ,multiplied by 1.5 is equal to what the first team had
we can build the 2nd equation using this information

1.5 * (y-600) = x-450
1.5y - 900 = x - 450 
rearrange the equation,
 
 1.5y - x = -450 +900
2) 1.5y - x = 450 

add 1st and 2nd equations to eliminate x 
1) + 2)     (x - y = -50) + (1.5y - x = 450)
1.5y - y = 450 -50
0.5y = 400
y = 400/ 0.5
y = 800 kg
substitute y = 800 in x = y - 50
x = 800 - 50 
x = 750 kg

first team received 750 kg and second team received 800 kg


The area of square abcd is 36 square units and the area of triangle ebf is 20 square units. if line eb is perpindicular to line bf and line ae is equal to 2 find the length of line cf

Answers

Final answer:

The length of line CF is 20 units.

Explanation:

Let's analyze the given information step by step:

The area of square ABCD is 36 square units, so each side of the square measures √(36) = 6 units.The area of triangle EBF is 20 square units.Line EB is perpendicular to line BF.Line AE is equal to 2 units.

Since line EB is perpendicular to line BF, triangle EBF is a right triangle. Let's assume the length of line BF is x units. Using the area of a triangle formula, we have:

Area of triangle EBF = (1/2) * base * height

20 = (1/2) * x * 2

Simplifying the equation, we get:

20 = x

Therefore, the length of line BF (or CF) is 20 units.

Simplify each expression. K(k^3) that means to the third power btw

Plz help!

Answers

[tex]\bf k(k^3)\implies k^1(k^3)\implies k^1\cdot k^3\implies k^{1+3}\implies k^4[/tex]

Find the unknown side length, x. Write your answer in simplest radical form.

Answers

Use Pythagorean Theorem! Hope this helps you (:

Answer:  The required value of x is 32.

Step-by-step explanation:  We are given to find the length of the unknown side.

That is, x = ?

From the figure, we see a right-angled triangle with

length of the hypotenuse, h = 68 units,

length of the other two sides, a = 60 units and b = x.

Using Pythagoras theorem in the given right-angled triangle, we have

[tex]h^2=a^2+b^2\\\\\Rightarrow 68^2=60^2+x^2\\\\\Rightarrow x^2=68^2-60^2\\\\\Rightarrow x^2=4624-3600\\\\\Rightarrow x^2=1024\\\\\Rightarrow x=\pm32.[/tex]

Since x is the length of a side of the triangle, so it cannot be negative.

Therefore, x = 32 units.

Thus, the required value of x is 32.

Which is a monthly recurring cost associated with renting a house?
utility bills
property tax
insurance

Answers

Property tax, and insurance would be associacted with renting a house


How many times greater is the area of circle B compared to the area of circle A?

A.) 15 times greater
B.) 10 times greater
C.) 2.25 times greater
D.) 1.5 times greater

Answers

Your answer is the area of circle B is 2.25 times larger than circle A. 

If p is true and q is false, then p ∧ ~q is true.
true
false

Answers

Answer: true

Justification

1) ∧ is the and operator

2) ~ is the symbol for negation (which is the same that making false)

3) p ∧ ~q means p and not q.

4) The and operator means that the two joined premises, this is p and ~q, have to be true for the whole statement ve true.

5) It is given that p is true and q is false,  then p and ~ q is true.

Answer: true.

Answer:

true

Step-by-step explanation:

PLEASE HELP WITH THIS I HAVE NO IDEA HOW TO SOLVE!!!!
PLEASE DON"T IGNORE THIS ONE
PLEASE HELLLP

consider the following graph of a quadratic function. Write the euqation for the quadratic function in standard form.

The graphs y-intercept is 7 and vertex is (-3,-2)

Answers

Write the vertex form of the equation and find the necessary coefficient to make it work.
.. y = a*(x +3)^2 -2
.. = ax^2 +6ax +9a -2

You require the y-intercept to be 7. So, for x=0, you have
.. 9a -2 = 7
.. 9a = 9
.. a = 1

The equation you seek is
.. y = x^2 +6x +7

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)? y = – x – 1y = – x + 5y = x – 1y = x + 5

Answers

the equation of the line parallel to 5x+2y=12 and passes through the point (-2, 4) is equal to y= -5/2x - 1

Answer:  The required equation of the line is [tex] y=-\dfrac{5}{2}x-1.[/tex]

Step-by-step explanation:  We are given to find the equation of the line that is parallel to the following line and passes through the point (-2, 4) :

[tex]5x+2y=12~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We know that

the slope-intercept form of the equation of a straight line is given by

[tex]y=mx+c,[/tex]

where m is the slope of the line.

From equation (i), we have

[tex]5x+2y=12\\\\\Rightarrow 2y=-5x+12\\\\\Rightarrow y=-\dfrac{5}{2}x+6.[/tex]

So, the slope of line (i) is given by

[tex]m=-\dfrac{5}{2}.[/tex]

We know that the slopes of two parallel lines are equal. So, the slope of the new line will be

[tex]m=-\dfrac{5}{2}.[/tex]

Since the line passes through the point (-2, 4), so its equation will be

[tex]y-4=m(x-(-2))\\\\\\\Rightarrow  y-4=-\dfrac{5}{2}(x+2)\\\\\\\Rightarrow y-4=-\dfrac{5}{2}x-5+4\\\\\\\Rightarrow y=-\dfrac{5}{2}x-1.[/tex]

Thus, the required equation of the line is [tex] y=-\dfrac{5}{2}x-1.[/tex]

helpppppppppppppppppppppppppppppppppppp

Answers

To take out terms outside the radical we need to divide the power of the term by the index of the radical; the quotient will be the power of the term outside the radical, and the remainder will be the power of the term inside the radical. 
First, lets factor 8:
[tex]8=2 ^{3} [/tex]
Now we can divide the power of the term, 3, by the index of the radical 2:
[tex] \frac{3}{2} [/tex] = 1 with a remainder of 1
Next, lets do the same for our second term [tex] x^{7} [/tex]:
[tex] \frac{7}{2} [/tex] = 3 with a remainder of 1
Again, lets do the same for our third term [tex]y^{8} [/tex]:
[tex] \frac{8}{2} =4[/tex] with no remainder, so this term will come out completely.

Finally, lets take our terms out of the radical:
[tex] \sqrt{8x^{7} y^{8} }= \sqrt{ 2^{3} x^{7} y^{8} } =2 x^{3} y^{4} \sqrt{2x} [/tex]

We can conclude that the correct answer is the third one. 

First we rewrite the expression:
 root (8x ^ 7y ^ 8)
 (8x ^ 7y ^ 8) ^ (1/2)
 Properties of exponents:
 (8 ^ (1/2) x ^ (7/2) y ^ (8/2)
 We rewrite:
 (8 ^ (1/2) x ^ (7/2) y ^ 4
 (2 * 2 ^ (1/2) x ^ 3y ^ 4x ^ (1/2)
 (2 * x ^ 3 * y ^ 4 * (2x) ^ (1/2)
 Answer:
 (2*x^3*y^4*(2x)^(1/2)
 option 3

If you were given the equation f ( x ) = 3x⁵+6x, what behavior would the ends of the graph have?

a. Both ends will point up
b. Both ends will point down
c. the left end will start down at a large negative and the right end will go upwards
d. the left end will start up at a large positive and the right end will go downwards EXPLAIN ANSWER

Answers

The function given in the problem is a Polynomial Function of degree 5. These functions have the following form: f(x)=ax^5+bx^4+c^3+d^2+ex+f. They have an R domain and their graphs are continuous curves.
 
 You can know the behavior of the function f(x)=3x⁵+6x by given values to the variable x and plot each point obtained. For example:
 
 If x=-1⇒ f(-1)=3(-1)⁵+6(-1)=9
 
 If x=0⇒ f(0)==3(0)⁵+6(0)=0
 
 If x=1⇒ f(1)=3(1)⁵+6(1)=9
 
 Therefore, as you can see in the graph attached, the correct answer is:
 
  c. The left end will start down at a large negative and the right end will go upwards.


Final answer:

The ends of the graph of the function f(x) = 3x^5 + 6x will display the behavior described in option c. This is due to the highest power of x in the equation being an odd number and the coefficient being positive. As such, the left end of the graph will start down at a large negative and the right end will go upwards.

Explanation:

The behavior of the ends of the graph of the function f(x) = 3x^5 + 6x is determined by the highest power of x in the equation, which is 5 in this case. The coefficient of x^5 is positive, so as x approaches positive infinity, f(x) also approaches positive infinity. Conversely, as x approaches negative infinity, the value of f(x) would approach negative infinity. We can describe this behavior as the left end of the graph starting at a large negative and the right end going upwards. Thus, answer c. 'the left end will start down at a large negative and the right end will go upwards' is correct.

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What is the value of x in the figure shown?

A quadrilateral is shown with the measurements of four angles shown. The first angle measures 65 degree sign. The second angle measures 123 degree sign. The third angle measures 87 degree sign. The fourth angle measures x degree sign.

A. x = 85 B. x = 95 C. x = 150 D. x = 208

Answers

the total amount of angles in quadrilateral is 360:
360-(65+123+87)=360-275=85
x=85

A quadrilateral is shown with the measurements of four angles shown. The fourth angle is 85 degrees.

What is the angle sum property?

The angle sum property of a quadrilateral states that the sum of the interior angles of a triangle is 360 degrees.

A quadrilateral is shown with the measurements of four angles shown. The first angle measures 65 degree sign.

The second angle measures 123 degree sign.

The third angle measures 87 degree sign. The fourth angle measures x degree sign.

The total amount of angles in a quadrilateral is 360:

x + 65 + 123 + 87 = 360

x = 360-(65+123+87)

x =360-275

x=85

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Which statement about this product is true? 0.36×(−758)


A.) It is less than −758-758 because multiplying by a number less than 11 gives a smaller number.


B.) It is greater than −4-4 because 0.36×(758)0.36×758 is less than 12×812×8.


C.) It equals −758-758 because 36363636 equals 11, and 11 times any number equals that number.


D.) It equals 00 because 0.360.36 rounded to the nearest whole number is 00, and 00 times any number is 00.

Answers

the answer is b

if you do .036 x (-7 5/8) gives you -2.745



Answer:

B. It is greater than -4  because 0.36*(7 5/8)  is less than 1/2 * 8

Step-by-step explanation:

Given the question:

Which statement about this product is true? 0.36*(-7 5/8)  

If you replace the multiplication:

0.36*(7 5/8)  

by

1/2*8 = 4

You will get a greater result because 1/2 ( or 0.5) is greater than 0.36 and 8 is greater than (7 5/8). Taking into account that the original multiplication involves a negative number, then:

0.36*(7 5/8) < 1/2*8

0.36*(-7 5/8) > 1/2*(-8)    (multiply by a negative number at both sides of the inequality change the sign)

In fact 0.36*(-7 5/8) = -2.745.

AB=2y+1, BC=y+1,CD=7x-3,DA=3x what is x and y

Answers

I attached the picture associated with this question.

Answer:
x = 2
y = 5

Explanation:
ABCD is a parallelogram. This means that each two opposite sides are equal.
This means that:
1- AB = CD
2y + 1 = 7x - 3 ...........> equation I
2- AD = BC
3x = y + 1
This can be rewritten as:
y = 3x - 1............> equation II

Substitute with equation II in equation I and solve for x as follows:
2y + 1 = 7x - 3 ...........> equation I
2(3x - 1) + 1 = 7x - 3
6x - 2 + 1 = 7x - 3
6x - 1 = 7x - 3
7x - 6x = -1 + 3
x = 2

Substitute with x in equation I to get y as follows:
y = 3x - 1
y = 3(2) - 1
y = 6 - 1
y = 5

Hope this helps :)

Given the segments of a quadrilateral, the steps show that for it to be closed, the expression 3y + 10x + 1 = 0 must hold. Additional information would be needed to find unique values for x and y.

Given the segments AB, BC, CD, and DA of a quadrilateral:

AB = 2y + 1BC = y + 1CD = 7x - 3DA = 3x

For a quadrilateral to be closed, the perimeter equations must be equal. Thus, we set up the equality:

AB + BC + CD + DA = 0

Substituting the given segment expressions:

(2y + 1) + (y + 1) + (7x - 3) + (3x) = 0

Simplifying this equation:

3y + 4 + 10x - 3 = 0

Combine like terms:

3y + 10x + 1 = 0

This represents a linear equation involving x and y.

Assuming the quadrilateral is closed, another equation or condition is needed to solve for x and y simultaneously. If additional geometric or numeric information is provided about the quadrilateral, it can help solve the system.

here is complete question-Find the values of x and y in ABCD. 9. AB=2y,BC=y+3,CD=5x-1,DA=2x+4 10. AB=2y+1,BC=y+1,CD=7x-3,DA=3x (6.3) Determine whether the quadrilateral must be a parallelogram.

A person at the top of a cliff 100 ft. tall sees Gilligan's boat. He sees the boat at an angle of depression of 10. How far is the boat from the base of the cliff.

Answers

567.128181962 ft to be exact
or 567.128ft  rounded

hope this helps<3






















3. Triangle ABC has angle measures as shown.

a) What is the value of x? Show your work.


Answers

As always, the sum of the measures of the angles in a triangle is 180°.

(x -5) +(3x +30) +35 = 180
4x +60 = 180 . . . . . . . . . . . . . collect terms
4x = 120 . . . . . . . . . . . . . . . . . subtract 60
x = 30 . . . . . . . . . . . . . . . . . divide by 4

a) The value of x is 30.
The sum of the angles in a triangle is 180°, therefore:
[tex](x - 5) + (3x + 30) + 35 = 180[/tex]
[tex]x - 5 + 3x + 30 + 35 = 180[/tex]
Sum up x + 3x
[tex]4x - 5 + 30 + 35 = 180[/tex]
Sum up all the numbers
[tex]4x + 60 = 180[/tex]
Substract 60 from both sides
[tex]4x = 120[/tex]
And finally divide by 4 (on both sides)
[tex]x = 30[/tex]

A carpenter has a piece of wood that is 10 Yards long and a piece that is 5 Feet Long . How many Feet of wood does the carpenter have ?

Answers

1 yd = 3 ft

10 yd = 10 * 1 yd

10 * 1 yd = 10 * 3 ft

10 yd = 30 ft

The 10-yard piece is 30 ft long.
Then you add to it the 5-foot long piece.

30 ft + 5 ft = 35 ft

Answer: He has 35 ft of wood.

Which transformation shows a reflection of ΔDEF?

Answers

The answer is B or the purple one

Answer:

The image B with purple figures is correct.

Step-by-step explanation:

We are given the figure DEF and we are required to find the figure which is obtained after reflecting it.

Now, reflection of a figure means to flip the figure over a line.

In the green figure, the points D and E are interchanged which is not possible in reflection.

In the blue figure, there is no change.

In the purple figure, the triangle is flipped over the line DE and so it is the correct answer.

Hence, the purple figure is obtained after reflecting the figure DEF.


A small plane is 20 miles due north of the airport. a jet at the same altitude as the plane is 64.5 miles west of the airport. to the nearest tenth, what is the distance between the small plane and the jet? enter your answer as a decimal in the box.

Answers


okay realize that the distance traveled by the small plane, distance traveled by jet, and the distance between them makes a right triangle. Using Pythagorean theorem and allowing x be the distance between them, x² = (20 miles)² + (64.5 miles
 x = 67.53 miles the distance between the two entities in nearest tenth is approximately 67.5 miles. 

Using the Pythagorean theorem, we can calculate the distance between a small plane 20 miles north of an airport and a jet 64.5 miles west of the airport as 67.5 miles to the nearest tenth.

Given that a small plane is 20 miles due north of the airport and a jet is 64.5 miles west of the airport, the scenario forms a right-angled triangle with the legs representing the distances from the airport to each aircraft. To find the distance between the small plane and the jet, we can use the Pythagorean theorem which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (the legs).

The equation for the distance (d) between the two planes can be expressed as:

d² = north side² + west side²

d² = 202 + 64.52

d² = 400 + 4160.25

d² = 4560.25

d = √4560.25

d = 67.5 miles (rounded to the nearest tenth)

Thus, the distance between the small plane and the jet is 67.5 miles to the nearest tenth.

20 POINTS,, PLEASE HELP!!!
Given points K'(1, -2) and L'(1, -4), what are the coordinates of the point J' that produces a triangle J'K'L' congruent to JKL resulting from a rotation of 90 degrees clockwise around the point (1, -6)?

J' ______, _______

Answers

point J' would be located at (5,0)
Given points K'(1, -2) and L'(1, -4)...

where is point J' that produces a triangle J'K'L' congruent to JKL resulting from a rotation of 90 degrees clockwise around the point (1, -6)

J' (5, 0)

Can anyone please help me with this problem? I got my answer incorrect, and I don’t understand why.

Answers

check the picture below.

a) is asking what is the initial height, and that occurs right before the balloon is shot up, at 0 seconds, namely at x = 0.

Maya's standard deduction on her federal income tax return is $8350. If she paid $5980 in state taxes and $2430 in mortgage interest last year, should she use her standard deduction?

Answers

B. No, because it's less than the deduction she would get from itemizing.-APEX 

Answer: b no because it is less then the deduction she would get from itemizing



The height of a stack of dimes varies directly with the number of dimes in the stack. A stack of 4 dimes is 5.4 mm tall. How many millimeters tall is a stack of 15 dimes?

Answers

5.4 x 11 = 59.4. Someone else Is probably right

Solve the equations to find the number and type of solutions. The equation 8 − 4x = 0 has real solution(s).

Answers

Answer:

The number of solution is, 1 and the type of solution is, Integer solution.

Step-by-step explanation:

Given the equation:

[tex]8-4x=0[/tex]

Add 4x to both sides we have;

[tex]8 = 4x[/tex]

Divide both sides by 4 we have;

[tex]2 = x[/tex]

or

x = 2

Solution for this equation is, 2

Therefore, The number of solution is, 1 and the type of solution is, Integer solution.

The equation has a single real solution, x = 2.

The equation 8 − 4x = 0 can be solved as follows:

8 − 4x = 0

4x = 8

x = 2

The equation has one real solution, x = 2.

A real solution is a solution that is a number. The number 2 is a real number, so the equation has one real solution.

Here is a more detailed explanation of the solution:

We subtract 8 from both sides of the equation.

We divide both sides of the equation by -4.

We simplify both sides of the equation.

The answer is x = 2, which is a real number. So, the equation has one real solution.

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Jason sold half of his comic books and then bought 8 more. he now has 13. how many did he begin with ?

Answers

he began with 10. Because if he bought 8 after selling half of his books and now his total is 13, then 13-8=5
so 5+5=10

simplify the expression 5+4•(8-6)^2
Please show steps.

Answers

P- parenthesis

( 8 - 6 ) = 2

E- exponents

2^2 = 2 × 2 = 4

M- multiplication / division

4 × 4 = 16

D- division

N/A

A- addition / subtraction

5 + 16 = 21

S- subtraction

N/A

~~

Answer : 21




Round 8.414 to the nearest hundredth

Answers

it would be 8.41 because the last digit isn't big enough to round up so you would have to round down

Given that (6,5) is on the graph of f(x), find the corresponding point for the function-2f(x)

Answers

For f(6) = 5, you will have -2f(6) = -2*5 = -10

The point of interest is (6, -10).

Answer:

the person up is wrong

Step-by-step explanation:

i got it wrong on the test rn

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