HELP PLEASE! THIS IS DUE SOON! HELP ME! QUESTION BELOW!

HELP PLEASE! THIS IS DUE SOON! HELP ME! QUESTION BELOW!

Answers

Answer 1

Answer:

A) x = 113°

Explanation:

Given three sides: 6.4 cm, 5.8 cm, 10.2 cm

Use the cosine rule:

c² = a² + b² - 2ab cos(C)

Insert/put variables:

[tex]\rightarrow \sf 10.2^2 = 5.8^2 + 6.4^2 - 2(5.8)(6.4) cos(x)[/tex]

[tex]\rightarrow \sf -74.24 cos(x) = 10.2^2 - 5.8^2 - 6.4^2[/tex]

[tex]\sf \rightarrow -74.24 cos(x) = 29.44[/tex]

[tex]\rightarrow \sf cos(x) = \dfrac{29.44}{-74.24}[/tex]

[tex]\rightarrow \sf x = cos^{-1}(-\dfrac{23}{58})[/tex]   = 113.36°  ≈ 113°  (rounded to nearest degree)


Related Questions

Alejandro and Emila ordered a pizza. Alejandro at 1/3 of the pizza and Emila ate 2/5 of the pizza. How much did they eat together? Was there any pizza left? How much?


Answers

Answer: [tex]\frac{4}{15}[/tex] of the pizza was left

Step-by-step explanation:

lets first get the denominators the same..

[tex]\frac{1}{3} = \frac{5}{15}[/tex]

[tex]\frac{2}{5} = \frac{6}{15}[/tex]

To find the total pizza eaten we add these two fractions

[tex]\frac{5}{15} +\frac{6}{15} =\frac{11}{15}[/tex]

we can think of [tex]\frac{15}{15}[/tex] as 1 pizza because it simplifies to 1

[tex]\frac{15}{15} -\frac{11}{15} =\frac{4}{15}[/tex]

Therefore, [tex]\frac{4}{15}[/tex] of the pizza was left

Answer:Amount left=4/15

Step-by-step explanation:

The solution is in the image

can you please help me with this two questions ​

Answers

Answer:

2) d. 60°

3) a. AB

Step-by-step explanation:

Question 2

ΔABC and ΔCDA are congruent because:

they are both right trianglesthey share one side (AC)their hypotenuse are parallel (marked by the arrows)

This means the corresponding side lengths and angles are equal.

Therefore,

∠CDA = ∠ABC

⇒ x = 60°

Question 3

The hypotenuse is the longest side of a right triangle - the side opposite the right angle (the right angle is shown as a small square).

Therefore, the hypotenuse of ΔABC is the line AB.

The function f(x) = 2x2 + 3x + 5, when evaluated, gives a value of 19. What is the function’s input value?

Answers

Answer:

-7/2 or 2 are inputs that give 19 as output.

Step-by-step explanation:

The problem gives us a quadratic function [tex]\displaystyle \large{f(x)=2x^2+3x+5}[/tex]. When its output is 19, we want to know the input value(s).

Since an output which is f(x) = 19. Therefore:

[tex]\displaystyle \large{19=2x^2+3x+5}[/tex]

Rearrange the expression in quadratic equation.

[tex]\displaystyle \large{0=2x^2+3x+5-19}\\\\\displaystyle \large{0=2x^2+3x-14}\\\\\displaystyle \large{2x^2+3x-14=0}[/tex]

Factor the expression.

[tex]\displaystyle \large{(2x+7)(x-2)=0}[/tex]

Solve like linear equation which we get:

[tex]\displaystyle \large{x=-\dfrac{7}{2}, 2}[/tex]

If you input these x-values in the function, you will get 19 as the output which satisfies the condition.

Hence, inputs are -7/2, 2

Answer:

[tex]x=2, \quad x=-\dfrac{7}{2}[/tex]

Step-by-step explanation:

Set the function to 19:

[tex]\implies 2x^2+3x+5=19[/tex]

Subtract 19 from both sides:

[tex]\implies 2x^2+3x-14=0[/tex]

To factor a quadratic in the form [tex]ax^2+bx+c[/tex]

Find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]:  7 and -4

Rewrite [tex]b[/tex] as the sum of these two numbers:

[tex]\implies 2x^2-4x+7x-14=0[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies 2x(x-2)+7(x-2)=0[/tex]

Factor out the common term (x - 2):

[tex]\implies (2x+7)(x-2)=0[/tex]

Therefore the function's input values that when evaluated give a value of 19 are:

[tex](2x+7)=0 \implies x=-\dfrac{7}{2}[/tex]

[tex](x-2)=0 \implies x=2[/tex]

Graph the system of inequalities:
-x + 2y - 4 <0
3x + 4y + 420

Answers

Step-by-step explanation:

draw the graph then use the graph to answer the following questions

What is the solution to the following system of equations? (2 points) y = x2 + 10x + 11 y = x2 + x − 7

Answers

Answer:

y=x^(2)+10x+11,y=x^(2)+x-7

Step-by-step explanation:

I think so bro

Step-by-step explanation:

I assume you mean

y = x² + 10x + 11

y = x² + x - 7

well, I subtract equation 2 from equation 1 :

0 = 9x + 18

9x = -18

x = -2

y = x² + x - 7 = (-2)² - 2 - 7 = 4 - 2 - 7 = -5

the solution (the intersection point of both graphs) is the point (-2, -5).

Help please! Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Determine each segment length in right triangle ABC.
(file is posted below)

Answers

The measure of BD and BC are 7 and 7√2 respectively

Triangular altitude theorem

A triangle is a shape with 3 sides and angles.

According to the theorem

CD/BD = BD/DA

From the given figure

CD = DA  = 14/2

CD = DA = 7

Substitute

7/BD = BD/7

BD² = 7²

BD² = 49
BD = 7

Determine the measure of BC

sin 45 = BD/BC
sin45 = 7/BC
BC = 7/sin45

BC = 7√2

Hence the measure of BD and BC are 7 and 7√2 respectively

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4. The diameter of a circle is 10 in. What is the approximate circumference? Show your work to receive
full credit. **You must include the units of measurement to receive full credit.**
Show work :))

Answers

Answer:

31.4 in

Step-by-step explanation:

The circumference of of a circle given the diameter is πd :

C = π×d = 10π = 31.4159....

C ≈ 31.4

The units will still be in as this is a length not an area .

Hope this helped and brainliest please

Find the surface area of the prism. 8 4 14

Answers

Answer:

4 8 1 4 0,683 the (783)-213=509

Find the volume (to the nearest cubic foot) of a cone with base radius 4 ft. and height 8 ft.

Answers

Answer:

135 ft^3

Step-by-step explanation:

The volume of a cone is [tex]\frac{1}{3} \pi r^{2}h[/tex]. The radius is 4 and the height is 8, so these values can be plugged in:

[tex]V = \frac{1}{3} \pi \times 4^{2} \times 8[/tex]

[tex]V = \frac{128\pi }{3}[/tex]

This is about 134.041286553 which rounds to 135 ft^3.


What is the name of the expression under the radical symbol in a radical function?

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The name of the expression under the radical symbol in a radical function is called a radicand.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The radical is the symbol that is used to represent the root in the expression n√x. The name of the expression under the radical symbol in a radical function is called a radicand.

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Mitra created a mosaic design using square 2x2 cm white tiles and 2x3 cm rectangular centimeter black tiles. She used twice as many white tiles as black tiles. The finished pattern was 1092 square centimeters in area. How many rectangular tiles did she use?

Answers

Mitra used 156 white tiles of 2x2 cm and 76 black tiles of 2x3 cm to form a pattern with an area of 1092 cm²

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of white tiles and y represent the number of black tiles.

Area of white tiles = 2 cm * 2 cm = 4 cm²

Area of black tiles = 2 cm * 3 cm = 6 cm²

She used twice as many white tiles as black tiles. Hence:

x = 2y   (1)

Also, the finished pattern was 1092 square centimeters in area. Hence:

4x + 6y = 1092   (2)

From both equations:

x = 156, y = 78

Mitra used 156 white tiles of 2x2 cm and 76 black tiles of 2x3 cm to form a pattern with an area of 1092 cm²

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In the diagram, points D and E are marked by drawing arcs of equal size centered at B such that the arcs intersect and . Then, intersecting arcs of equal size are drawn centered at points D and E. Point P is located at the intersection of these arcs.

Based on this construction, m∠ABP is
°, and m∠ABC is

Answers

Based on this construction, the value of m∠ABC is 64°.

How to find the angle?

From the point, E and D, two arcs are made which are intersecting each other at point P.

It means, that line BP is the bisector of angle ABC. ABC will be:

= 2 * 32=64

Therefore, based on this construction, the value of m∠ABC is 64°.

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A die is tossed. Find the odds against rolling a number greater than 4.

Answers

Answer is  2:1

Reason:

There are 4 outcomes we don't want (rolling 1,2,3 or 4) and 2 outcomes we do want (rolling 5 or 6)

This gives the odds against ratio of 4:2 or 2:1

This can be written out as "2 to 1" or "two to one".

Having 2 to 1 odds means that we're twice as likely to get something we don't want vs something we do want.

Side note: the odds in favor will have us flip the ratio.

1) FILL IN THE SPACES:
a. 2.5 liters (L) = ______ml
b. 1320g = ________kg
c. 1.2g = _________mg
d. 1025mcg =_______mg
and. 2TBS=_______tsp
F. 1 TBS =_______ml
g. 2 fl oz =_______ml
h. 75kg =________pounds (lb)
PROBLEMS
1) Add the following: 30 mg, 2.5 kg and 7.0 g. Express the answer in g.
2) Express the amount of 1.243 g as:
mg ________
kg ________
mcg _______
3) How many grams of the active ingredient "aspirin" would be needed to make 500 aspirin tablets if each tablet must contain 325 mg?

Answers

Bbbinvjbvjnvvffgbbbcgg

Which equation can be used to solve for c?

Triangle A B C is shown. Angle A C B is 90 degrees and angle A B C is 35 degrees. The length of C B is 5 inches, the length of A C is b, and the length of B A is c.

Answers

The equation which is used to find the value of c will be c = 5/Cos 35

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

We are given the following

m<ACB = 90degrees

m<ABC = 35degrees

The side opposite to m<ABC is AC

BA = hypotenuse

CB = adjacent = 5inches

Required

The equation to solve BA which is c

Using the Pythagoras theorem;

Cos Ф = Adjacent/Hypotenuse

Cos m<ABC = CB/BA

Cos m<ABC = 5/c

c = 5/cosm<ABC

c = 5/Cos 35

Hence the equation that can be used to solve for c is c = 5/Cos 35

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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
is parallel to . and are perpendicular to and .
The ratio of the lengths of and is
:
.

Answers

The ratio of the lengths of and is 1: 1

PQ parallel to RS

PR and PS; perpendicular to PQ and RS.

What are the perpendicular lines?

Perpendicular lines are lines that intersect at a 90 degrees angle. Parallel lines are lines that are always the same distance apart.

FOR parallel lines, the perpendicular line joining then is always the same; here the 4 angles formed are all 90°

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Sum of 1 OK. Now, think of two numbers with a sum of 1.​

Answers

Answer:

0+1

Step-by-step explanat

Any two consecutive number in which the greater number is positive and smaller number is negative will give the sum of 1.

What is sum?

The result we get after adding some quantity is called the sum of the data.

Given we need to find two numbers whose sum is 1,

So, we can consider in this case two consecutive numbers of opposite sign the greater number should have a positive sign and the smaller number should have negative sign,

For example =

-4+5 = 1

-3+4 = 1

-2+3 = 1

-9+10 = 1

So, any two consecutive number in which the greater number is positive and smaller number is negative will give the sum of 1.

Hence, there can be many numbers which can give sum of 1.

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which equation has the correct sign on the product

Answers

The equation which has the correct sign on the product is 27(-5) = -135

Sign of product

- × - = +

- × + = -

+ × - = -

+ × + = +

Given equations:

27(-5) = -135

(-4)(-4) = -16

(-61) (3) = 183

22 × 4 = -88

Correct equation:

27(-5) = -135

(-4)(-4) = 16

(-61) (3) = -183

22 × 4 = 88

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find the area of the shaded regions. give your answer as a completely simplified exact value in terms of π


20 POINTS!!!
WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

because it has a 90 degree it shows that the area is 3/4 of a circle:
V=r^2π => 36π·3/4 = 27π

im really not sure with my answer, please tell which is the correct choice.

Answers

Answer:

the orange one

Step-by-step explanation:

(10 + 10) : (5-3) =

20 : 2 =

10

I paid $8000 to burrow $50000 for 2 years. What was the rate of simple interest charged?
[make brainliest if got correct and 20pts]

Answers

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$8000\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &2 \end{cases} \\\\\\ 8000=5000[1+(\frac{r}{100})(2)]\implies \cfrac{8000}{5000}=1+\cfrac{r}{50}\implies \cfrac{8}{5}=1+\cfrac{r}{50} \\\\\\ \cfrac{8}{5}-1=\cfrac{r}{50}\implies \cfrac{3}{5}=\cfrac{r}{50}\implies \cfrac{3(50)}{5}=r\implies 30=r[/tex]

If x = -3, then x 2 - 7x + 10 equals
37
40
22

Answers

Gggggggggffffffffgg. It equals 1

40

Step-by-step explanation:

[tex]{ \red{ \tt{given \: }}} \: :- \: { \green{ \tt{x = - 3}}}[/tex]

Then, Substitute the value of "x" in this below equation..

[tex]{ \orange{ \tt{ {x}^{2} - 7x + 10}}}[/tex]

[tex]{ \orange{ \tt{ {( - 3)}^{2} - 7( - 3) + 10}}}[/tex]

[tex]{ \orange{ \tt{9}}} \: + \: { \orange{ \tt{21}}} \: + \: { \orange{ \tt{10}}}[/tex]

[tex] = { \orange{ \tt{40}}}[/tex]

What is the area of the parallelogram?

Answers

Answer:

Area = 120 in²

Step-by-step explanation:

follow the formula in the picture

Area = b * h

Area = 15 * 8

Area = 120 in²

How to find the average collection period

Answers

Answer:

dividing a company's yearly accounts receivable balance by its yearly total net sales

please help meeeee will mark them brain​



from biggest to smallest

Answers

It’s easier if you turn the fractions into decimals and arrange them in order from biggest to smallest. 3/4= 0.75, 5/6= 0.83, 7/9= 0.77, 1/2= 0.5, 2/3= 0.66, 7/12= .583, 15/24= 0.625. Then obviously, you order them from biggest to smallest:
0.83 (5/6), 0.77 (7/9), 0.75 (3/4), 0.66 (2/3), 0.583 (7/12), 0.5 (1/2).

Determine the length of side QS.
A) 1.9
B) 3.4
C) 2.4
D) 5.7

Answers

1.4^2 + 1.2^2 = 3.4
square root 3.4 = 1.84
Answer = A-1.9

Answer: C) 2.4

Given one opposite angle, two known sides and one missing side.

Hence use cosine rule:

[tex]\sf c = \sqrt{a^2 + b^2- 2ab \ cos\theta}[/tex]

insert values

[tex]\sf c = \sqrt{1.2^2 + 1.4^2- 2(1.2)(1.4) \ cos(134)}[/tex]

simplify

[tex]\sf c = 2.3945 \quad \approx \quad 2.4[/tex]

Your answer should be an expanded polynomial in standard form.
(7a³-2a-2) + (-5a + 3) =

Answers

Answer:

7a^3-7a+1

Step-by-step explanation:

(7a³-2a-2) + (-5a + 3) =

Combine like terms

7a^3-2a-5a-2+3

7a^3-7a+1

Help please…………………..

Answers

1. ?
2. vertical
3. x = 0
4. all real numbers
5. Continuous
6. 0 to infinity


That’s all I have without seeing the drop down menu options

Suppose there is this little town with a finite number of people: (1) No two inhabitants have exactly the same number of hairs. (2) No inhabitant has exactly 743 hairs or no hairs at all. (3) There are more inhabitants than there are hairs on the head of any inhabitant. So, what is the highest possible number of inhabitants in that little town?

Answers

The highest possible number of inhabitants in that little town are 743.

What are inhabitant?

A person or animal that lives in a place is called as the inhabitant.

Suppose there is this little town with a finite number of people: (1) No two inhabitants have exactly the same number of hairs. (2) No inhabitant has exactly 743 hairs or no hairs at all. (3) There are more inhabitants than there are hairs on the head of any inhabitant.

Let say there are 519 people in the town. and make them stand in a line with increasing number of hairs on their heads. This way, there will be a person on the last, who has no hair.

There are more number of people than the hairs. From bald to 742 hairs, 743 is the limit.

Thus, the highest possible number of inhabitants in that little town are 743.

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Factor out the GCF from the given polynomial. 38x-8

Answers

Answer:

2(19x - 1)

Step-by-step explanation:

The GCF of 38 and 8 is 2 :

Now we take a common factor of 2 :

2(19x - 1)

Hope this helped and have a good day

Answer:
2(19x-4)

The gcf of 38 and 8 is 2 so factor it out.

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