Question 5 1 To get from my home to my school, I travel approximately 4.1 miles east, then approximately 4.7 miles north. What is the approximate distance from my home to my school, rounded to the nearest tenth of a mile? * School Distance Home 90°​

Answer:

[tex]A+B+C=130[/tex]

[tex]F+E+D=273[/tex]

Step-by-step explanation:

From the question we are told that:

Dimension of ABC

A=9

B=11

C=110

Dimension of FED

D=231

Generally the equation for the similar triangles is mathematically given by

[tex]\frac{A}{F}=\frac{B}{E}=\frac{C}{D}[/tex]

Therefore solving for F

[tex]\frac{9}{F}=\frac{110}{231}[/tex]

[tex]F=\frac{9*231}{110}[/tex]

[tex]F=18.9[/tex]

Therefore solving for E

[tex]\frac{11}{E}=\frac{110}{231}[/tex]

[tex]E=\frac{11*231}{110}[/tex]

[tex]E=23.1[/tex]

Measure of [tex]\triangle ABC[/tex]

[tex]A+B+C=130[/tex]

Measure of [tex]\triangle FED[/tex]

[tex]F+E+D=273[/tex]

Answer:

Shen invested $9000.

Step-by-step explanation:

The simple interest formula is i = prt, where p is the principal amuont, r is the annual interest rate as a decimal fraction and t is the time in years.

Here, $2160 = P*0.06*(4 yrs), so:

         $2160

P = ----------------- = $9000

            0.24

Answer:

sum of angles in a triangle is 180

so 70+60+ 8x+2 = 180

132+ 8x = 180

8x = 180-132

x = 48/8

x= 6

then find the angle by substituting value of x

8x + 2

8*6 + 2

= 50°

Answer:

750

Step-by-step explaintion

150, 300, 450, 600, 750

250, 500, 750

375, 750

Answer:750

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

Answer:

$16.80

Step-by-step explanation:

12 * 1.4 = 16.8

Answer:

$16.80

Step-by-step explanation:

Find 40 % of 12 by multiplying .05*12 to get $4.80. Add the original price $12 and the price increase $4.80 to get the new selling price of $12

Answer:

2

Step-by-step explanation:

Point on the graph: (0, -3) and (3, 3)

Slope:

m=(y2-y1)/(x2-x1)

m=(3+3)/(3-0)

m=6/3

m = 2

Answer:12

Step-by-step explanation:

Answer:

i have the same question brainly peeps help out

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

2 goes into 12 6 times and 6x6 = 36.

Answer:

2+2 equals 4

Step-by-step explanation:

Answer:

G: Ms Ruiz

Step-by-step explanation:

She had the lowest slope

Answer:

x = 42

Step-by-step explanation:

y = x/7 + 15 ; y = 21

21 = x/7 + 15

21 - 15 = x/7

6 = x/7

x = 6 × 7

x = 42

Thus, The answer is 42

-TheUnknownScientist

Answer:

x = 42

Step-by-step explanation:

I hope its helps.........

Answer:

17.2 cm

Step-by-step explanation:

Answer:

En cada expresión queremos obtener 100 en el denominador.

Notar que en la primer eq. tendríamos:

a) 3/5 = (20/20)*(3/5) = (20*3)/(20*5) = 60/100 = 0.6  (corresponde a 60%)

b) 11/4 = ?

Acá el denominador es 4

tenemos que encontrar un número k tal que:

k*4 = 100

k = 100/4 = 25

Entonces podemos multiplicar denominador y numerador por 25.

11/4 = (25/25)*(11/4) = (25*11)/(25*4) = 275/100 = 2.75 (corresponde a 275%)

c) 4/20

el denominador es 20, entonces tenemos que resolver:

20*k = 100

k = 100/20 = 5

multiplicamos denominador y numerador por 5:

(5/5)*(4/20) = (5*4)/(5*20)  =  20/100 = 0.2  (corresponde al 20%)

d) 9/5

el denominador es 5, entonces debemos resolver:

5*k = 100

k = 100/5 = 20

Debemos multiplicar denominador y numerador por 20

(20/20)*(9/5) = (20*9)/(20*5) = 180/100 = 1.8  (corresponde a 180%)

e) 10/200 = 5/100 = 0.05  (corresponde al 5%)

f) 8/200

Se resuelve de similar forma al de arriba (que ya tenias resuelto).

Aca el denominador eso 200, entonces tenemos que tener:

200*k = 100

k = 100/200 = 1/2

Entonces multiplicamos numerador y denominador por 1/2

(1/2/1/2)*(8/200) = (8*1/2)/(200*1/2) = 4/100 = 0.04 (corresponde al 4%)

g) 30/300

aca el denominador es 300

Entonces:

300*k = 100

k = 100/300 = 1/3

Multiplicamos numerador y denominador por 1/3

(1/3/1/3)*(30/300) = (30*1/3)/(300*1/3) = 10/100 = 0.1  (corresponde al 10%)

Answer:

G.fourth grade

Step-by-step explanation:

The media is the line inside the box that’s the middle

In third grade the median is 50 but in fourth grade the median is 52 so therefore your answer is fourth grade

And the reason I know this is because I’m in 7th and have the exact same question

Answer:

<C = <A

Step-by-step explanation:

In parallelograms, opposite angles are congruent. This means that <C=<A and <B=<D. Additionally, adjacent angles are supplementary; so when added they equal 180.

Answer:

r=-24

Step-by-step explanation:

Step1:  Add 4 to both sides

-2r - 4 + 4 > 44 + 4

-2r > 48

Step 2: Divide both sides by -2

-2r/ -2 > 48/ -2

r < -24

Answer:

x = 8

Step-by-step explanation:

because wy bisects XZ , XY and ZY are equal so ..

2x+3=3x-5

then x is 8❤

Answer:

XYZ

Step-by-step explanation:

due to the angles being equivalent to eachother(NL angles being equal to XZ). The M and Y are equal to eachother.

Answer:

8.45 grams

Step-by-step explanation:

In a science experiment, Shelly has to weigh a compound in grams. The balance in her school measures in milligrams (mg). Shelly finds that the weight of the compound is 8,450 mg. What is the value in grams (g) that Shelly should enter?

1 mg = 0.001 g

8450 mg = x

Cross Multiply

= 8450 × 0.001 g

= 8.45 g

Therefore, Shelly should enter 8.45 grams

Step-by-step explanation:

is there supposed to be a pic attached?

Answer:

If you are round the answer, you would get 15.7 cm. If not, you would get around 16 cm.

Step-by-step explanation:

The diameter is 5 and π is 3.14. You multiply those two together to get 15.7 cm. If the teacher asks to round, you will get 16 cm.

Answer:

-8y^2+9y-45

Step-by-step explanation:

symbolab.com

Answer:

3450$ :)

Step-by-step explanation:

Answer:

y=1/4x+6

Step-by-step explanation:

i guess

3)

[tex] Cos 60°= \frac{1}{2} = \frac{Adjacent} {Hypotenuse} = \frac{y} {10} \\\\ 2y=10 \\\\ y=5 [/tex]

Now, use Pythagoras theorem to find x

[tex] x^2+y^2=10^2 \\\\ \to x^2+5^2=10^2 \\\\ \to x^2+25=100 \\\\ \to x^2 = 100-25 \\\\ \to x^2= 75 \\\\ \to x= \sqrt{75} \\\\ \bf 5 \sqrt{3} [/tex]

Similarly,

4)

[tex] Sin 45°= \frac{1}{\sqrt{2}} = \frac{Opposite} {Hypotenuse} =\frac{2 \sqrt{2}} {a} \\\\ a= 2 \sqrt{2} \times \sqrt{2} \\\\ a=4 [/tex]

Now, use Pythagoras theorem to find b

[tex] b^2+(2 \sqrt{2}) ^2=a^2 \\\\ \to b^2+8=4^2 \\\\ \to b^2=16-8 \\\\ \to b^2 = 8\\\\ \to b= \sqrt{8} \\\\ \bf b=2 \sqrt{2} [/tex]

You can solve all of them in a similar way.

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