Solve each triangle for the missing values shown. Show all work necessary. Use exact values
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.
: )
Triangle ABC is similar to triangle FED, find the measure of x. A. X = 9 B. X = 11 C. X = 110 D. X = 231
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]
How to solve this triangle, please help me.
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°
Observe as afirmativas
Answer:
?
Step-by-step explanation:
Question 3 (5 points)
Which of the following statements must be true about parallelogram ABCD?
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.
A chef used 6 cups of flour for every 2 cups of sugar to bake a cake. If he uses 12 cups of sugar, how many cups of flour did he use?
Answer:
36
Step-by-step explanation:
2 goes into 12 6 times and 6x6 = 36.
Estimate a 20% tip on a dinner bill of $142.74 by first rounding the bill amount to the nearest ten dollars.
Estimated tip:
X
6
?
Answer:$171.29
Step-by-step explanation:
if the tip amount is around $28.55 and your putting 20% it would $171.29 but it would determine how many people they are.
2\sqrt((25)/(64))-(3)/(8)
Answer:
ookStep-by-step explanation:
oaxy8g7qd c7heuhwciwycowbobwxicx
donvc
I need an answer ASAP!!
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❤
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Use the slope and y-intercept to write an equation for the red cab.
Answer:
y=1/4x+6
Step-by-step explanation:
i guess
1. Complete the table to find the sample space for rolling a
particular product on two number cubes
Step-by-step explanation:
is there supposed to be a pic attached?
2y^2-10y^2+9y-45
Factor polynomial completely
Answer:
-8y^2+9y-45
Step-by-step explanation:
symbolab.com
please help, and thank you.
Answer:
G: Ms Ruiz
Step-by-step explanation:
She had the lowest slope
what is the measure of AT in 0 below?
Answer:
97 degrees
Step-by-step explanation:
Answer:
97
Step-by-step explanation:
a) 3∕5= 60∕100= 40% (resolvido) b) 11∕4= c) 4∕20= d) 9∕5= e) 10∕200= 5∕100= 5% (resolvido) f) 8∕200= g) 30∕300=
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%)
What is the independent and dependent variable in this statement, types of pizza or number of votes
Answer: type of pizza is dependant and the number of votes is independent
Step-by-step explanation:
the type of pizza they get depends on how many votes there are
PLS HELP | Shen invested in a savings bond for 4 years and was paid simple interest at an annual rate of 6%. The total interest that he earned was $2160. How much did he invest?
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
WHY DO U HATE ME?? ALSO HELP IN PIC!!!!!!!!!!!!
Answer:
Don't know u is correct. Also I'm not a h0* how rude >:(
Answer:
None of the above because I love you
Step-by-step explanation:
I don't hate you and if some people do they must have there reasons which I don't know, but some people just hate for no reason and if they can hate for no reason some people can love for no reason.
You may be a complete stranger to me but I love you
please help I am in fourth I don't know how to do this :(
Answer:
D
Step-by-step explanation:
I think so because you are divideng by 10*10 so it is 100 and you have to move to the right 2 places. I think thats it
can anyone help me with these
Holly Chris and tony each collect action figures.Chris has twice as many action figures has 3 fewer action figures than Tony.
Answer:
i have the same question brainly peeps help out
Step-by-step explanation:
6. The height distributions of two different classes at Dover Elementary School are shown below. Both groups have the same interquartile range (IQR). Dover Elementary School Class Heights Third grade Fourth grade + 46 + 47 + 48 + 49 + 50 + 51 + 52 + 53 54 '55 which class has the greater median height?
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
GameStop pays $12.00 for each Minecraft video game. They markup each game by 40%. What is the selling price?
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
Maria makes money by commission rates. She gets 15% of everything she sells. If Maria sold $23000 worth of items this month, what is her salary for the month?
Answer:
3450$ :)
Step-by-step explanation:
The diameter of a circle is 5 cm. Find its circumference in terms of .
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.
Can someone help with these 2? number 8 and 9!
Evaluate y=x/7+15 when y=21
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.........
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?
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
An automatic dog feeder in the shape of a cone has a height of 18 centimeters. If it holds about 8,308 cubic centimeters of dog food, approximately what is its RADIUS?
what is the lowest common multiple for 150, 250, 375
Answer:
750
Step-by-step explaintion
150, 300, 450, 600, 750
250, 500, 750
375, 750
Answer:750
Step-by-step explanation: