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3 years ago

7

What is the value of x?Enter your answer in the box.x=

1 answer:

Lina20 [59]3 years ago

3 0

Answer:

x = 8

Step-by-step explanation:

This is an equilateral triangle, so we know that the angles are all equal too.

That means each angle is 60 degrees (b/c 60 * 3 = 180)

7x + 4 = 60

7x = 56

x = 8

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A man gathers nuts in a forest. Each time he finds a nut, there is a 20% chance it is a pecan and a 35% chance it is a walnut.

gladu [14]

Either a pecan or walnut means you add the probabilities together

20% plus 35% equals 55%

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Toni and Marcy partnered together in running laps around a track to raise money for the Children's Hospital's playroom. Toni rai

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X represent the number of laps Marcy swam, 114x represent the number of times Toni swam.

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Required equation is 92.05x + 35 = 257

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3 years ago

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2 years ago

A detective finds a victim of murder at 9 am. At that time, the temperature of the body is 90.3 degrees F. One hour later, the b

LekaFEV [45]

Answer:

Step-by-step explanation:

Given

at 9 am temperature of the body is $90.3^{\circ}F$

1 hr later temperature $89^{\circ}F$

Temperature of room $T=68^{\circ}F$

According to newtons law

$\frac{\mathrm{d} T}{\mathrm{d} t}=-k\left ( T-T_{room}\right )$

$\frac{\mathrm{d} T}{\mathrm{d} t}=-k\left ( T-68\right )$

$\frac{dT}{T-68}=-kdt$

Integrating

$=\int \frac{dT}{T-68}=-kdt$

$\ln |T-68|=-kt+c$

$T-68=Ae^{-kt}$

Now at 9 am i.e. t=0,

$90.3=A+68$

$A=22.3$

At 10 am i.e. t=1 hr T=89

$89-68=22.3e^{-k}$

$e^{-k}=21$

$k=0.06006$

Temperature of Normal human body is $T=98.6 ^{\circ}F$

$98.6-68=e^{-0.06006t}$

$30.6=e^{-0.06006t}$

Taking log both sides

$t=-5.27$

i.e. 5 hr and 16.2 min

i.e. victim murdered at 3 am and 43.8 min

7 0

3 years ago

X=square root of 880-8x

Sunny_sXe [5.5K]

$x=\sqrt{880-8x}\\
D:880-8x\geq0 \wedge x\geq0\\
D:8x\leq880 \wedge x\geq0\\
D:x\leq 110 \wedge x\geq0\\
D:x\in\langle0,110\rangle\\
x^2=880-8x\\
x^2+8x-880=0\\
x^2+8x+16-896=0\\
(x+4)^2=896\\
x+4=8\sqrt{14} \vee x+4=-8\sqrt{14}\\
x=-4+8\sqrt{14} \vee x=-4-8\sqrt{14}\\
\\ x=-4-8\sqrt{14}\not \in D \Rightarrow \boxed{x=-4+8\sqrt{14}}$

5 0

3 years ago