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Digiron [165]
3 years ago
5

In which set do all the values make the inequality 2x-1<10 true?

Mathematics
2 answers:
Monica [59]3 years ago
7 0

Answer:

Anything in the negatives like -2*2= -4-1 =5

or positive value upto 5

2*5 =10 -1=9

GenaCL600 [577]3 years ago
5 0

Answer:

The right answer is letter D. (2,3,4)

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Calculate the area of triangle ABC with altitude CD, given A(−7, −1), B(−1, 5), C(0, 0), and D(−3, 3)
Snezhnost [94]

Answer:

A=25 (Rounded)

Step-by-step explanation:

The first step is to find the length of BA which is the base, then you have the find the length of CD, the hight.

To find the distance, you need to use the distance formula which is

d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}} (It does not matter if A is x1 or is B is x1, it just has to remain consistent)

I am going to first find BA

d=\sqrt{\left({-7}-{-1}\right)^{2}+\left({-1}-{5}\right)^{2}}

Next, subtract accordingly

d=\sqrt{\left({-7}+{1}\right)^{2}+\left({-1}-{5}\right)^{2}}

d=\sqrt{\left({-6}\right)^{2}+\left({-6}\right)^{2}}

Once you do that, you want to square -6 and -6 which will give you

d=\sqrt{\left({36}\right)+\left({36}\right)}

Now add 36 with 36 which will leave you with

d=\sqrt{{72}}

Do that same thing for CD. If you did it right, you should be left with

d=\sqrt{{18}}

to find the area of a triangle, you must use the formula

A=\frac{B*H}{2}

The Base is \sqrt{{72}} (BA) and the Hight is \sqrt{{18}} (CD). substitute to get

A=\frac{\sqrt{{72}}*\sqrt{{18}}}{2}

Multiply the Base by the Hight to get

A=\frac{\sqrt{{1,296}}}{2}

Divide 1,296 by 2 to get

A=\sqrt{{648}}

Which is equal to

A=25.455844122715710878430397035775

Rounding it to the nearest whole number you get

A=25

Hope this helps. Feel free to ask any follow-up questions.

Have a good day! :)

6 0
4 years ago
Jeff uses the expression 2(3b + 1) to determine how many books (b) he needs to order for his store. If b= 12, how many books sho
arlik [135]

Answer:

74 books

Step-by-step explanation:

2(3b+1)

2(3(12)+1

2(36+1)

2(37)

74

7 0
3 years ago
Read 2 more answers
El punto más alto de un repetidor de televisión situado en la cima de una montaña se ve desde un punto del suelo p bajo un ángul
Maksim231197 [3]

Answer:

El repetidor tiene aproximadamente 90.494 metros de altura.

Step-by-step explanation:

Al término de esta solución podemos encontrar el diagrama geométrico con toda la información derivada de lo descrito en el enunciado de la pregunta. Aquí designamos la altura del repetidor con la letra h, medida en metros. Procedemos a resolver el modelo a partir de la Ley del Seno:

\frac{30\,m}{\sin 3^{\circ}} = \frac{s}{\sin 67^{\circ}}

s \approx 527.651\,m

\frac{s}{\sin 156^{\circ}} = \frac{h}{\sin 4^{\circ}}

h \approx 90.494\,m

El repetidor tiene aproximadamente 90.494 metros de altura.

4 0
3 years ago
A recipe for banana pudding calls for 2/3 cups of sugar for the flour and 1/4 cups of sugar for the meringue topping, how many c
Brrunno [24]

Answer: 11/12 cups sugar

1 1/4 lbs  candy

Step-by-step explanation:

2/3 + 1/4=8/3 + 3/4=11/12

6 1/4 / 5=25/4 x 1/5=25/20=1 5/20= 1 1/4

6 0
3 years ago
(10.05 LC)
loris [4]

Answer:

Cos x = \frac{base}{hypotenuse}=\frac{\sqrt{3} }{2}

Tan x = \frac{perpendicular}{base} = \frac{1}{\sqrt{3} }

Step-by-step explanation:

Sin x = \frac{perpendicular}{hypotenuse} = \frac{1}{2}

So, Perp = 1 and hyp = 2

<em>Putting this in Pythagorean theorem to get the base</em>

c^2 = a^2+b^2

a^2 = c^2-b^2

base ² = 4-1

base² = 3

<em>Taking square root on both sides</em>

Base = \sqrt{3}

Now

Cos x = \frac{base}{hypotenuse}=\frac{\sqrt{3} }{2}

Tan x = \frac{perpendicular}{base} = \frac{1}{\sqrt{3} }

5 0
4 years ago
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