A triangle,ABC , has angle measures of 40, 40, 100 and and exactly two congruent (equal) sides. How would this triangle be classified?

Answer:

A = 30

Step-by-step explanation:

cross multiply to get A out from the denominator

4/5 = 24 /A

4A = 24 x 5

4A = 120

4A/4 = 120/4   divide

A = 30

you're correct that, since Hugo is charging Johnny $2000, so the amount invested will be 98000.

[tex]~~~~~~ \stackrel{\textit{\Large Hugo}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$98000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &15 \end{cases}[/tex]

[tex]A=98000\left(1+\frac{0.06}{4}\right)^{4\cdot 15}\implies A=98000(1.015)^{60}\implies A\approx 239435.54 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \stackrel{\textit{\Large Hector}}{\textit{Compound Interest Earned Amount}}[/tex]

[tex]A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$100000\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases} \\\\\\ A=100000\left(1+\frac{0.055}{12}\right)^{12\cdot 15}\implies A=100000\left( \frac{2411}{2400} \right)^{180}\implies A\approx 227758.38[/tex]

well, seems that even though Hugo is charging some Johnny, the returned amount is more than with Hector, so Johnny should give Hugo a call.

Answer:

The measure of angle ∠PQS is 28.5°

Step-by-step explanation:

If a ray bisects an angle, then it divides it into two equal angles in measures and the measure of each one is half of the measure of this angle.

In our question

∵ Ray QS bisects ∠PQR  

→ That means it divides it into two angles PQS and SQR

∴ m∠PQS = m∠SQR = [tex]\frac{1}{2}[/tex] m∠PQR

∵ m∠PQR = 57°

→ Multiply its measure by  [tex]\frac{1}{2}[/tex] to find the measures its parts

∴ m∠PQS =  [tex]\frac{1}{2}[/tex] × 57°

∴ m∠PQS = 28.5°

∴ The measure of angle ∠PQS = 28.5°

Answer:

4

Step-by-step explanation:

Answer: 60

Step-by-step explanation:

write down the 12 times table

12 , 24, 36, 48, 60, 72, 84, 96, 108, 120

20, 40, 60, 80, 100, 120, 140, 160, 180, 200

Now you can see that 60 is the multiple that comes up first in both of the times tables which means it is the lowest common factor.

Answer:

compound fraction

Step-by-step explanation:

When a “normal” fraction contains fractions in either the numerator or denominator or both, then we consider it to be a complex fraction. This type of fraction is also known as a compound fraction. There are two methods used to simplify such kind of fraction.

Answer:

Jackson: 8p + 2c = 58

Cooper: 4p + 5c = 49

Step-by-step explanation:

p= popcorn

c= candies

When you write this equation, have the cost on one side of the equation and the coefficients on the other.

Answer:

$120.67

Step-by-step explanation:

1. 55+29.99+27.79 = 112.78

2. 7% of 112.78 is 7.89

Answer:

-3x + 4 = 2

just find x

Step-by-step explanation:

x = ⅔

Answer:

Slope is 1/2

Step-by-step explanation:

up one, right 2

How I learned it: Rise/ Run

Hope that helps!

Answer:

1/2

Step-by-step explanation:

Slope is defined as rise over run. In the graph, you can see that for every 2 units in the positive x-direction, there will be 1 unit in the positive y-direction. Therefore, the answer is change in x/change in y = 1/2

Answer:

option 2 = 48 cm ²

12 × 4 = 48

cm × cm = cm²

answer = 48 cm²

Answer:

12123

Step-by-step explanation:

Answer:

A.) -3.396

Step-by-step explanation:

On edg ;)

Answer:

4.61549

Step-by-step explanation:

radius=circumference/2 3.14=29/2*3.14=4.61549

Answer:

14^2

Step-by-step explanation:

i just plugged into calculator lol

Given expression:

                    14⁶   /   14⁴

   Using the exponent rule;

               [tex]\frac{x^{n} }{x^{m} }[/tex]   = [tex]x^{n-m}[/tex]

  So;

                 x  = 14

                 n = ⁶6

                  m = 4

So;

         [tex]\frac{14^{6} }{14^{4} }[/tex]  = 14⁶⁻⁴

                = 14²

Answer:

Step-by-step explanation: if Peytons base pay= $60 plus she earns commission on $x (computers sold)

P= $60+ (0.025x)

You would multiply by 0.025 as this equals 2.5%

Remember PEMDAS- parentheses, exponents, multiplications, division, addition, subtraction

Answer:

  π/6 ≈ 11/21 cubic units

Step-by-step explanation:

Use the given values in the formula for the volume of a sphere:

  V = 4/3πr³

  V = (4/3)(22/7)(1/2)³ = 4·22/(3·7·8) = 11/21 . . . . cubic units

We know,

[tex]{\qquad { \longrightarrow \pmb {\sf Volume_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3} }}}[/tex]

Here,

⠀

Substituting the values in the formula :

[tex] { \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times {\bigg(\dfrac{1}{2} \bigg)}^{3} }}}[/tex]

[tex] { \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times \dfrac{1}{8} }}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{ \cancel4}{3} \times \dfrac{22}{7} \times \dfrac{1}{ \cancel8} }}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{ 1}{3} \times \dfrac{22}{7} \times \dfrac{1}{ 2} }}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{22}{3 \times 7 \times 2} }}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{22}{42} }}}[/tex]

[tex]{ \longrightarrow {\qquad {\bf Volume_{(Sphere)} = \dfrac{11}{21} }}}[/tex]

⠀

Therefore,

Answer:

22

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope it helps!!!

Answer: 2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

(9 × 10) + (5 × 1) + (7 × [tex]\frac{1}{10}[/tex] ) + (1 × [tex]\frac{1}{100}[/tex] ) ← evaluate each parenthesis

= 90 + 5 + [tex]\frac{7}{10}[/tex] + [tex]\frac{1}{100}[/tex] ( convert fractions to decimal fractions )

= 95 + 0.7 + 0.01

= 95.71

Answer:

0.001

Step-by-step explanation:

Answer:

[tex]\frac{1}{1000}[/tex]

Step-by-step explanation:

[tex]10^{-3}[/tex]

[tex]= \frac{1}{10^{3}}[/tex]

[tex]= \frac{1}{1000}[/tex]

Answer:

Your answer is: y= -2x+7

Step-by-step explanation:

Hope this helped : )

The equation of a line that goes through the points (8, -9) and (-4, 15) is y = -2x + 7

The formula for calculating the equation of a line is expressed as y = mx+ b

m is the slope of the line

b is the y-intercept

Given the coordinate points (8, -9) and (-4, 15)

Get the slope of the line;

[tex]m =\frac{15-(-9)}{-4-8}\\m=\frac{24}{-12} \\m = -2[/tex]

Get the y-intercept of the line

Recall that y = mx + b

15 = -2(-4) + b

b = 15 - 8

b = 7

Get the required equation in the form y = mx + b

y = -2x + 7

Hence the equation of a line that goes through the points (8, -9) and (-4, 15) is y = -2x + 7

Learn more here: https://brainly.com/question/17003809

Answer:

8(2c - d)

Step-by-step explanation:

16c - 8d ← factor out 8 from each term

= 8(2c - d)

Answer:

daughter = 9yrs

mother = 27yrs

Step-by-step explanation:

let age of daughter be x

age of mother = 3x

by qsn,

three yrs ago,

4 (x-3) = 3x-3

4x-12 = 3x-3

4x-3x = -3+12

× = 9 yrs (age of daughter )

3x = 3×9 = 27 yrs ( age of mother)

Answer:

-8n+7

Step-by-step explanation:

Answer:

-8n+7

Step-by-step explanation:

Answer:

12 tiles

Step-by-step explanation:

1 yard = 3 feet, so 3*4 = 12, because it makes four yards in total with each side being a yard.

Answer:

y=−2x+5

Step-by-step explanation:

y=mx+b

Answer:

[tex]90 \sqrt{2} [/tex]

Step-by-step explanation:

This is a 45°-45°-90° right triangle, so the length of the hypotenuse is √2 times the length of a leg. Since both legs have length 90, the hypotenuse has length 90√2. So y=90√2.

Answer:

Step-by-step explanation:

We are expected to solve for the amount off the reader after 40% discount and  $25 refund(rebate)

Now given that the book is $150

40% of 150

=(40/100)*150

=0.4*150

=$60

The total amount off includes the markdown and rebate.

the total amount is

60+25=$85