Classify angle ABC on side length and angles measure

Answer:

The flagpole is  

4

meters tall.

Explanation:

The wire, the flagpole, and the ground make up the three sides of a triangle.

One angle of this triangle is given as  

45

o

.

The angle of the flagpole with the ground must be  

90

o

.

So the last angle must be  

45

o

.

Because of the right angle  

(

90

o

)

of the flagpole and the ground, this is a  

right triangle

. The wire forms the hypotenuse.

Because both of the other angles are the same (both are  

45

o

), this is an  

isosceles

right triangle (the legs are equal.)

This particular kind of right triangle is called a  

45

−

45

−

90

triangle, named for the degrees in its angles.

...

...

...

...

...

...

...

.

. . . . . . . . . . . . . . .

The measurements of these triangles are known by memorization:

The  

45

−

45

−

90

isosceles right triangle has these properties:

It forms half a square, cut in half along the diagonal, so it is a

right triangle

.

This diagonal line forms the  

hypotenuse

of the triangle.

The sides  

s

(the legs) are the same as each other, so

it is an  

isosceles right triangle.

The length of the hypotenuse is always  

s

√

2

Here is a diagram of the  

45

−

45

−

90

isosceles right triangle:

Step-by-step explanation:

Answer:

[tex]13\frac{43}{64}[/tex]

Step-by-step explanation:

We can see the numerator is being multiplied by 3 and the denominator is being multiplied by 4.

[tex]\frac{45*3}{16*4} =\frac{135}{64}[/tex]

Then we will add them,

[tex]5 + \frac{15}{4}+\frac{45}{16} +\frac{135}{64} becomes \frac{320}{64} +\frac{240}{64} +\frac{180}{64} +\frac{135}{64}=\frac{875}{64} =13\frac{43}{64}[/tex]

You can also use formulas to solve this as well, but this way should work too as there are not very many terms :)

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

6m-27

Step-by-step explanation:

The equivalent expression of 9(4/3m- 5 - 2/3m + 2) is 6m/3 - 27.

The correct option is C.

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Given;

The expression 9(4/3m- 5 - 2/3m + 2).

To find the equivalent expression:

Simplifying,

9(4/3m- 3 - 2/3m)

= 9(4m/3 - 2m/3 -3)

= 9{(4m-2m)/3 -3}

= 9 {2m/3 - 3}

= 6m/3 - 27.

Therefore, 6m/3 - 27 is the equivalent expression.

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If Ally is given three different sums of the same sequence to calculate, and she completes the three problems in order C) The sums increase in value because even though you subtract 7 from each term you are still increasing the positive number that is being multiplied so they will increase.

The sums will not decrease in value because there is no subtraction.  They will not increase in value because of multiplication or addition.  The sums will not decrease in value because of the subtraction of 7 from each answer.

Thus, the sums will increase in value because of the increasing positive number that is being multiplied.

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I hope you can follow the formula and solution.

Answer:

Yes Maggie has enough money to purchase the dress and hair accessory.

Step-by-step explanation:

Dress = $35.75

Hair accessory = $2.80

Total amount of money = $40

Does her have enough money?

Total Money in pocket - (Dress cost + hair accessory)

 $40.00 - ($35.75 + 2.80)

  $40.00 - ($36.00 + $3.00)     Round to the nearest dollar

  $40.00 - $39.00 = $1.00

Yes

The solution is A = 10

The value of the equation A = a + 10 , when a = 7 is A = 10

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = a + 3   be equation (1)

when a = 7

Substitute the value of a = 7 in the equation , we get

A = 7 + 3

On simplifying the equation , we get

The value of A = 10

Therefore , the value of A is 10

Hence , the equation is A = 10

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Answer:

The absolute value of any number (positive or negative) is always positive.

h+8=15

Subtract 8 from both sides.

h=7

:)

Answer:

7

Step-by-step explanation:

absolute value means the distance from zero.

the absolute value of -8 is 8 because it is 8 units away from 0.

thus, the equation can be written as h+8=15.

h=7 because 15-8=7

Answer: Harold drove 165.46 more miles in the first week, then he did in the second.

Step-by-step explanation:

This is simple elementary school subtraction. In the first week of the month, he drove 578.25 miles while in the second he only drove 412.79.

You can look up how to do subtraction by hand online, but after calculating the equation:

[tex]578.25-412.79[/tex], we end up with 165.46.

Answer:

unfortunatly i need the inequality to graph it

Step-by-step explanation:

Answer:

A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function.

Step-by-step explanation:

So all of them are functions I guess...?

Tangina mo Bobo mo putangina mo!!

Answer:

hwag naman ganyan lods baka ikaw bb dahil dimo mailagay answer

The mystery divisor to the question based on the information given is 18.

Dividing the first dividend 4 by the unknown divisor x and getting the first number 2 in the quotient and when the quotient 2 is multiplied by the divisor gives 36, so definitely, 4 cannot be used

Using 40 as the dividend, 40 divided by the divisor x gives 2 as the first quotient. And the first quotient 2 multiplied by the divisor x gives 36.

And to interpret this, 2x=36

Dividing through by 2x=36

x = 36/2

x = 18

So, the divisor is 18

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Answer:

35

Step-by-step explanation:

Because X=5, the equation is literally just asking 5x5=10. So, following the order of operations, I would do 5x5 first which equals 25 plus 10. Since 25+10=35.  The answer is 35. Hope this helps! :p

Hello there.

To answer this question, we need to remember some properties about the vertex of quadratic functions.

Let [tex]f(x)=ax^2+bx+c,~a\neq0[/tex]. Its vertex can be found on the coordinates [tex](x_v,~y_v)[/tex] such that [tex]x_v=-\dfrac{b}{2a}[/tex] and [tex]y_v=-\dfrac{b^2}{4a}+c[/tex], in which [tex]y_v=f(x_v)[/tex].

Using the coefficients given by the question, we get that:

[tex]x_v=-\dfrac{8}{2\cdot(-1)}\\\\\\ x_v=-\dfrac{8}{-2}\\\\\\ x_v=4[/tex]

Thus, we have:

[tex]y=f(x_v)=f(4)[/tex]

So the statement is true, because the [tex]x[/tex] coordinate of the vertex of the function is equal to [tex]4.~~\checkmark[/tex]

According to the question

sinA =  

         Method : 1( By Theorem )

sinA =  

Let,

     Height from angle A = 3 x

     Hypotenuse of triangle = 5 x

        By Pythagoras Theorem

Hypotenuse^2 = height^2 + base^2

( 5 x )^2 = ( 3 x )^2 + ( base )^2

25x^2 - 3x^2 = ( base )^2

16x^2 = base^2

( 4x )^2 = ( base )^2

4x = base

Therefore, cosA =  

                          =

                          =  

And, tanA =  

                =  

                =  

               Method : 2 ( Identities )

We know, sin^2 A + cos^2 A = 1

          Substituting value,

( 3 / 5 )^2 + cos^2 A = 1

cos^2 A = 1 - 9 / 25

cos^2 A = ( 25 - 9 ) / 25

cos^2 A = 16 / 25

cos^2 A = ( 4 / 5 )^2

cos A = 4 / 5

tanA = sinA / cosA

       = ( 3 / 5 ) / (  4 / 5 )

       =3/4

Step-by-step explanation:

Realize that:

speed = distance / time and thus

time = distance / speed

Then the whole journey of 40/60 hours is the sum of (let's call them t1 and t2)

cycling: t1 = 2/y hours

running: t2 = 4/(y-4) hours

so we must simplify t1+t2=40 minutes (a.k.a. 4/6 hours):

2/y + 4/(y-4) = 4/6

let's multiply the first term by (y-4)/(y-4) and the second term by (y/y):

[tex]\frac{2(y-4)}{y(y-4)} + \frac{4y}{y(y-4)} = \frac46[/tex]

since they now share a common denominator:

[tex]\frac{2(y-4) + 4y}{y(y-4)} = \frac46[/tex]

[tex]\frac{6y-8}{y(y-4)} = \frac46[/tex]

cross-products:

[tex]6 (6y-8) = 4y(y-4)[/tex]

further simplification:

[tex]36y - 48 = 4y^2 - 16y[/tex]

[tex]4y^2 - 52y + 48 = 0[/tex]

[tex]y^2 - 13y + 12 = 0[/tex]

q.e.d.

Answer:

C. -8

Step-by-step explanation:

x≥-48/5; ⇔ x≥-8.8, then

the smallest integer is -8.

Answer:

here you go

Step-by-step explanation:

the last one is "Each point (or pair) in a proportional relationship must share the same difference."

Answer:

Step-by-step explanation:

Given :  Statement about proportional relationships  

To Find : Which statement is False

Solution:

proportional relationships

y ∝ x

=> y = kx    

Comparing with line line of equation

y = mx + c

m = k  , c = 0

Hence A proportional relationship must graph as a line

TRUE

at x = 0 , y = 0

Hence graph of a proportional relationship must pass through (0, 0).

TRUE

y = kx  

=> y/x = k  hence

Each point (or pair) in a proportional relationship must share the same ratio.

Each point (or pair) in a proportional relationship must share the same difference.

Answer:

Substitution property of equality

Step-by-step explanation:

[tex]\\ \sf\longmapsto m<2+m<5=180[/tex]

[tex]\\ \sf\longmapsto m<2+90°=180°[/tex]

Answer:

Substitution property of equality

Step-by-step explanation:

Answer:

m<h=59º

Step-by-step explanation:

126=6x-1+17+5x

126=11x+16

126-16=11x

120-10=11x

110=11x

10=x

6(10)-1=59

Answer:

m<H = 59°

Step-by-step explanation:

Use the theorem on the measure of an exterior angle of a triangle.

5x + 17 + 6x - 1 = 126

11x + 16 = 126

11x = 110

x = 10

m<H = 6x - 1

m<H = 6(10) - 1

m<H = 60 - 1

m<H = 59°

Answer:

x = 36°, 2x° = 72°, 3x° = 108°, and 4x° = 144°

Step-by-step explanation:

Given the quadrilateral in which the sum of its four angles is 360°.

We can establish the following formula to find the value of x, and determine the measures of each angle:

x° + 2x° + 3x° + 4x° = 360°

Combine like terms:

10x° = 360°

Divide both sides by 10 to solve for x:

[tex]\mathsf{\frac{10x^{\circ}}{10}\:=\: \frac{360^{\circ}}{10}}[/tex]

x = 36°

Substitute the value of x into each unknown angle measures:

x = 36°

2x° = 2(36)° = 72°

3x° = 3(36)° = 108°

4x° = 4(36)° = 144°

Verify whether the sum of the previously unknown angle measures equal 360°:

x° + 2x° + 3x° + 4x° = 360°

36° + 72° + 108° + 144° = 360°

360° = 360° (True statement).

Therefore, the following are the angle measures of the given quadrilateral: x = 36°, 2x° = 72°, 3x° = 108°, and 4x° = 144°

Answer:

7/8 of a cup of dog food

Step-by-step explanation:

You would have to add 1/4+5/8, which would equal 2/8+5/8, which equals 7/8 of a cup of dog food.

Answer:

12 fruit baskets

Step-by-step explanation:

66 / 5 = ?

66 / 5 = 13.2

13.2 - 5 = 12

(12)

Answer:

13

Step-by-step explanation:

66/5 = 13.2

13.2 rounded is 13

+ I did ixl

Answer:

i dont know

Step-by-step explanation:

Answer:

☼︎Information Provided:

☼︎What we have to calculate :

☼︎Maturity value:-

[tex]\boxed{\sf{\longmapsto \: M.V. \: = \: P \times \: n \: + \: I }}[/tex]

[tex]\boxed{\sf{\longmapsto \: I\: = \: P \times \: \frac{n(n + 1)}{2 \times 12} \: + \: \dfrac{r}{100} }}[/tex]

☼︎In both the formulas,

☼︎Performing Calculations :

Finding out the interest by substituting the values in the given formula of calculating the interest~

☼︎Number of months :

☼︎We have :

☼︎Putting the values :

[tex] \: \tt { \longmapsto \: I \ \: = \: 100 \times \dfrac{60(60 + 1)}{2 \times 12} \: \times \: \dfrac{6}{100} }[/tex]

[tex]\: \sf{I \: = \:100 \times \dfrac{60(61)}{2 \times 12} \: \times \: \dfrac{6}{100} } [/tex]

[tex]\: \sf{I \: = \:100 \times \dfrac{60 \times 61}{2 \times 12} \: \times \: \dfrac{6}{100} }[/tex]

[tex] \: \sf{I \: = \: 100 \times \dfrac{3660}{24} \: \times \: \dfrac{6}{100} }[/tex]

[tex] \: \sf{I \: = \: \dfrac{3660}{ \cancel{24}} \: \times \: \cancel {6}}:⟼I=243660×6[/tex]

[tex]: \longmapsto \: \sf{I \: = \: \dfrac{3660}{4}}[/tex]

[tex]: \longmapsto \: \sf{I \: = \: \cancel\dfrac{3660}{4}}[/tex]

[tex]: \longmapsto \: \boxed{ \mathfrak \green{{I \: = \: 915} }}[/tex]

☼︎Now, putting the values in formula of M.V. :

[tex] { \underline {\rule{9cm}{0.3cm}}}[/tex]

[tex]... \: \sf{\longmapsto \: M.V. \: = \: 100 \: \times \: 60 + \: 915}[/tex]

[tex] ... \sf{ \longmapsto\: M.V. \: = \: 6000 + \: 915}:[/tex]

[tex]... \longmapsto \: \boxed{\pink{\sf{M.V. \: = \mathfrak {6915}}}}:[/tex]

[tex]\underline{\bf{Hence \: he \: would \: get \: Rs.6915 \: after \: 5 \: years}}[/tex]

[tex] { \underline {\rule{9cm}{0.3cm}}}[/tex]

Interest (I) received on maturity on the investment of Rs P per month at the rate of r % per annum for n months is

[tex]\bold{ \red{\boxed{\text{I} = \text{P} \times \dfrac{ \text{n(n + 1)}}{24} \times \dfrac{ \text{r}}{100} }}}[/tex]

Maturity Value (MV)

 Received on maturity on the investment of Rs P per month at the rate of r % per annum for n months is also given by

[tex]\begin{gathered} \pink{\boxed{\rm{ MV \: = \: \text{P} \: + \: I \: }}} \\ \end{gathered}[/tex]

[tex] { \underline {\rule{9cm}{0.3cm}}}[/tex]

Answer